Proven primes with at least 6000 digits ( via Primo )
Total: 1834
Rank Expression Digits When Who Comment Certificate
1 R(49081)   49081 Mar 2022 Paul Underwood Repunit
2 p(1289844341)   40000 Dec 2020 Paul Underwood Partitions
3 2116224 - 15905   34987 May 2019 Peter Kaiser
4 (14665 • 1034110 − 56641) / 9999   34111 Dec 2020 David Broadhurst; Paul Underwood Palindrome
5 Picture(57885161)   34093 Dec 2020 Paul Underwood show picture
6 M(106391) / 286105171290931103   32010 May 2025 Robert Gelhar Mersenne cofactor
7 Lucas(148091)   30950 Sep 2015 Paul Underwood Lucas
8 −Τ(331,2129)   29492 Dec 2020 Philippe Alsina; Pierre Gazzano;
  Nik Lygeros; Olivier Rozier; André Solaris		 Lehmer-Ramanujan
9 Lucas(140057)   29271 Dec 2014 Peter Kaiser; Paul Underwood Lucas
10 − 30 • Bern(10264) / 262578313564364605963   28506 May 2021 Robert Gelhar Irregular
11 (1027669 + 7) / 8313493832818655929448065598763458531111   27630 Jan 2021 Alfred Reich
12 546351925018076058 • Bern(9702) / 129255048976106804786904258880518941   26709 Jan 2021 Serge Batalov Irregular
13 M(86137) / 20021531730209833250959969231661791   25896 May 2022 Paul Underwood Mersenne cofactor
14 1025333 − 2 • 105182 − 3   25333 Aug 2020 Robert Gelhar
15 Φ(12345,7176) / 31531760245313526865033921   25331 Jun 2017 Tom Wu Part of BLS primality proof of
  (717624691 − 1) / 7175
16 M(84211) / 140050626828838622759681349695502902354485703679858928071137   25291 Dec 2020 Robert Gelhar Mersenne cofactor
17 (283339 + 1) / 3   25088 Sep 2014 Tom Wu Wagstaff
18 M(82939) / 883323903012540278033571819073   24938 Feb 2021 Paul Underwood Mersenne cofactor
19 −Τ(6911522)   23770 Mar 2014 Nik Lygeros; Olivier Rozier
20 1023769 + 23769   23770 Jan 2024 Tengfei Wang Dual Cullen prime
21 798 • Bern(8766) / 14670751334144820770719   23743 Jan 2021 Robert Gelhar Irregular
22 (10011867 + 1) / 101   23732 Dec 2021 Ray Chandler Generalized Wagstaff
23 826205 + 262058   23666 Sep 2023 Tengfei Wang Leyland plus-form
24 Φ(35421,− 10)   23613 Jun 2021 Serge Batalov Unique
25 primV(67, − 1, 13081) / 65419672274940815357   23451 Oct 2019 Paul Underwood Helper to LucasU(67, − 1, 26161)
26 Τ(2571698)   22506 Apr 2014 Patrice Deloche; Nik Lygeros;
  Olivier Rozier
27 1022250 + 57913   22251 Jun 2014 Pierre Cami
28 273845 + 14717   22230 Dec 2013 Peter Kaiser Dual Sierpinski Problem
29 273360 + 10711   22084 Sep 2014 Peter Kaiser Dual Sierpinski Problem
30 Fib(104911)   21925 Oct 2015 Mathew Steine; Bouk de Water Fibonacci number
31 Φ(15072, 24741) / 30662286083704489057   21913 Jun 2024 Tom Wu Part of BLS primality proof of
  (2474115073 − 1) / 24740
32 345535 + 2   21726 Jun 2020 Robert Gelhar Dual Williams prime
33 20170108 • 1021700 + 39   21708 Nov 2016 Peter Kaiser
34 Φ(1203,1027)   21600 Nov 2021 Ray Chandler Unique
35 Φ(15438, 23340) / 15439   21487 Jul 2020 Tom Wu Part of BLS primality proof of
  (2334015439 − 1) / 23339
36 − E(6658) / 85079   21257 Dec 2020 Serge Batalov Euler irregular
37 Φ(39855, − 10)   21248 Nov 2020 Robert Gelhar Unique
38 Φ(15372, 64758) / 1244123140789621   20770 Jan 2018 Tom Wu Part of BLS primality proof of
  (6475815373 − 1) / 64757
39 Φ(23749, −10)   20160 Apr 2014 Ray Chandler Unique
40 4111286921397 • 266420 + 5   20008 Apr 2019 Peter Kaiser Part of a prime triplet
41 Lucas(94823)   19817 May 2014 Paul Underwood Lucas
42 Φ(8055,40734) / 96202794155883391141266863081244220084299983546056404017486521   19632 Mar 2015 Tom Wu Part of BLS primality proof of
  (4073416111 − 1) / 40733
43 M(63703) / 42808417   19169 Jan 2014 David Metcalfe Mersenne cofactor
44 Φ(7545,58729) / 2732693371   19143 Jun 2024 Tom Wu Part of BLS primality proof of
  (5872915091 − 1) / 58728
45 Lucas(89849)   18778 Sep 2014 Paul Underwood; Harvey Dubner Lucas
46 primV(145353)   18689 Dec 2013 Dana Jacobsen Lucas primitive part
47 Φ(14943, − 100)   18688 Mar 2014 Ray Chandler Unique
48 Φ(12040,43326) / 22911344130361   18683 Nov 2017 Tom Wu Part of BLS primality proof of
  (4332612041 − 1) / 43325
49 Φ(13338,63847) / 44250132909040111   18666 May 2013 Tom Wu Part of BLS primality proof of
  (6384713339− 1) / 63846
50 587 • 43103# / 11# + 657402   18662 Oct 2013 Pierre Cami Part of a proven prime mega-gap
51 587 • 43103# / 11# − 455704   18662 Oct 2013 Pierre Cami Part of a proven prime mega-gap
52 261792 + 21661   18602 Dec 2012 Peter Kaiser Dual Sierpinski Problem
53 Φ(18827,10)   18480 May 2014 Ray Chandler Unique
54 R(21469) / R(3067) / 3945067990295736019201267346350493   18369 Jan 2018 Ray Chandler Repunit cofactor
55 Φ(106820 [C-D] ,10) / ​1037738269424921   18129 Aug 2017 Ray Chandler Cyclotomic polynomial cofactor
  of R(106820)
56 Lucas(86477) / 1042112515940998434071039   18049 Sep 2020 Serge Batalov Lucas cofactor
57 Φ(47560,10) / ​45260833352611441   17904 Jun 2017 Ray Chandler Cyclotomic polynomial cofactor
  of R(47560)
58 Φ(26601,10) / ​304368643   17724 Apr 2017 Ray Chandler Cyclotomic polynomial cofactor
  of R(26601)
59 M(58199) / 237604901713907577052391   17497 Jan 2015 David Metcalfe Mersenne cofactor
60 R(21865) / R(4373) / 2116024961761   17480 Jun 2017 Ray Chandler Repunit cofactor
61 Φ(52062,10)   17353 Apr 2014 Ray Chandler Cyclotomic polynomial cofactor
  of R(52062)
62 1199
86160983933969883031666688 • ∑ ( 248⋅n ) + 138585004357  
n=0  		 17351 May 2020 Robert Gelhar
63 108677 • Sm(2445) + Smr(2446)   17350 Jan 2022 Oliver Kruse Sm - Smarandache function
  Smr - reversed Sm
64 M(57131) / 61481396117165983261035042726614288722959856631   17152 Jan 2016 David Metcalfe Mersenne cofactor
65 1017135 − 5 • 101884 − 1   17135 Mar 2022 Ray Chandler Near repdigit; Part of a twin prime
66 1017135 − 5 • 101884 − 3   17135 Mar 2022 Ray Chandler Part of a twin prime
67 Lucas(81671)   17069 Sep 2013 Mathew Steine Lucas
68 256366 + 39079   16968 Oct 2012 Peter Kaiser Dual Sierpinski Problem
69 primV(86756)   16920 Jan 2015 Charles H (Chuck) Lasher;
  Harvey Dubner		 Lucas primitive part
70 39161# / 11# − 510478   16901 Apr 2013 Pierre Cami Part of an incomplete
  proven prime gap; d = 984108
71 primU(5617,−1,4769) / 38153   16869 Jul 2019 Serge Batalov
72 Lucas(80761) / 570100885555095451   16861 Aug 2020 Serge Batalov Lucas cofactor
73 6521953289619 • 255555 − 5   16737 Apr 2013 Peter Kaiser Part of a prime triplet
74 (45774577 + 45764576) / 5007522261204368020293    16733 Jan 2018 Richard Dickerson Lifchitz plus cofactor
75 255525 − 555252   16715 Dec 2023 Tengfei Wang Leyland minus-form
76 6 • (Lucas(81836) − 1) / (Lucas(1996) − 1) / (Lucas(164) − 1)   16653 Jan 2021 Serge Batalov Lucas primitive part
77 p(221444161)   16569 APr 2017 Serge Batalov Partitions
78 Fib(78919) / 15574900936381642440917   16471 Sep 2020 Serge Batalov Fibonacci cofactor
79 −Τ(791570)   16386 Feb 2014 Nik Lygeros; Olivier Rozier
80 See complete expression   16312 Aug 2020 Ryan Propper Cyclotomic polynomial cofactor of
  (2850713830 − 1) / 28506
81 ⌊(π • 1016207)⌋   16208 Jun 2026 Robert Baillie String in Pi
82 primV(123573)   16198 May 2019 Serge Batalov Lucas primitive part
83 Φ(10356,50091) / 10304269521936621850713514888196023221889   16165 Nov 2016 Tom Wu Part of BLS primality proof of
  (5009110357 − 1) / 50090
84 Lucas(77417) / 313991497376559420151   16159 Aug 2020 Serge Batalov Lucas cofactor
85 Φ(64410,10) / 89083940360761   16115 Nov 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(64410)
86 M(53381) / 94649555180092174344611143949332081125424867221122582640412951   16008 Mar 2017 Paul Underwood Mersenne cofactor
87 − E(5186) / 295970922359784619239409649676896529941379763   15954 Mar 2018 Thomas Ritschel Euler irregular
88 primV(121227)   15890 May 2019 Serge Batalov Lucas primitive part
89 Φ(7545,9082) / 268247497918471   15882 Oct 2014 Tom Wu Part of BLS primality proof of
  (908215091 − 1) / 9081
90 See complete expression   15721 Apr 2014 Anonymous
91 718582 − 185827   15704 Dec 2023 Tengfei Wang Leyland minus-form
92 primU(131481)   15695 Mar 2019 Serge Batalov Fibonacci primitive part
93 Φ(34474,10) / ​404621339   15652 Oct 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(34474)
94 primV(120258)   15649 May 2019 Serge Batalov Lucas primitive part
95 Φ(32302,10) / 1451105224587147287   15582 Oct 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(32302)
96 M(51487) / 992759464401015098867323676444574243990277591   15455 Nov 2018 Serge Batalov Mersenne cofactor
97 primB(183835)   15368 Mar 2019 Serge Batalov Lucas Aurifeuillian primitive part
98 Φ(71400,10) / ​176358001   15352 Dec 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(71400)
99 primU(77387)   15319 Mar 2019 Serge Batalov Fibonacci primitive part
100 (42244224 + 42234223) / 43228896852681817   15299 Mar 2016 Richard Dickerson Lifchitz plus cofactor
101 Φ(285,− 2637124) / 13082397832081   15267 Feb 2012 Tom Wu Part of BLS primality proof of
  (2637113681 − 1) / 26370
102 728192 + 438192   15216 Oct 2012 Youcef Lemsafer
103 primB(181705)   15189 Feb 2012 Serge Batalov Lucas Aurifeuillian primitive part
104 4183192700 + 418318   15179 Dec 2023 Alfred Reich
105 Φ(10092,44497)   15098 Jun 2016 Tom Wu Part of BLS primality proof of
  (4449710093 − 1) / 44496
106 1015093 + 7   15094 Apr 2021 Alfred Reich
107 249989 − 499892   15049 Oct 2023 Tengfei Wang Leyland minus-form
108 Fib(71983) / 2043438054776977   15028 Dec 2018 Serge Batalov Fibonacci cofactor
109 2494779036241 • 249800 + 13   15004 Apr 2022 Serge Batalov Part of a CPAP-3
110 2494779036241 • 249800 + 7   15004 Apr 2022 Serge Batalov Part of a CPAP-3
111 1015000 − 8621   15000 Jan 2025 U.N.Owen
112 primB(268665)   14972 Apr 2019 Serge Batalov Lucas Aurifeuillian primitive part
113 primV(75316)   14897 Dec 2015 Charles H (Chuck) Lasher;
  Harvey Dubner		 Lucas primitive part
114 Φ(5015, − 10000)   14848 Apr 2013 Ray Chandler Unique
115 primV(91322)   14847 Feb 2016 Charles H (Chuck) Lasher;
  Harvey Dubner		 Lucas primitive part
116 Φ(13476,1852) / 38475181770440710933448053   14640 Aug 2015 Tom Wu Part of BLS primality proof of
  (185213477 − 1) / 1851
117 primA(284895)   14626 Apr 2019 Serge Batalov Lucas Aurifeuillian primitive part
118 1014600 + 7   14601 Jul 2020 Alfred Reich
119 Φ(30452,10) / 9702901620338905487971475229839576180195475686611321   14469 Jul 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(30452)
120 Fib(69239) / 1384781   14464 Sep 2018 Serge Batalov Fibonacci cofactor
121 M(48617) / M(797) / M(61)   14377 May 2019 Anonymous Mersenne cofactor
122 1014357 − 2 • 1013570 − 3   14357 Mar 2022 Ray Chandler
123 Φ(9336,42417) / 46299256179289281554796097   14339 Jun 2024 Tom Wu Part of BLS primality proof of
  (424179337 − 1) / 42416
124 primA(170575)   14258 Jan 2019 Serge Batalov Lucas Aurifeuillian primitive part
125 Lucas(68213) / 7290202116115634431   14237 Aug 2018 Serge Batalov Lucas cofactor
126 R(16597) / R(2371) / 29505775938311   14213 Jun 2016 Ray Chandler Repunit cofactor
127 Φ(43566,10) / ​130699   14139 Aug 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(43566)
128 Φ(9318,36210) / 4494536789839233596781125043007   14130 Jun 2024 Tom Wu Part of BLS primality proof of
  (362109319 − 1) / 36209
129 See complete expression   14078 Aug 2019 Serge Batalov
130 R(14011) / 3122892204966673507876545735955200724341171845519631387   13957 Jun 2016 Ray Chandler Repunit cofactor
131 Φ(11490,38284) / 266998459447149619398404835337978513293521552530531   13956 Mar 2013 Tom Wu Part of BLS primality proof of
  (3828411491 − 1) / 38283
132 Fib(67703) / Fib(857) / 14472334024676221   13954 Jul 2018 Serge Batalov Fibonacci cofactor
133 Fib(66947) / 12485272838388758877279873712131648167413   13951 Apr 2017 Serge Batalov Fibonacci cofactor
134 Lucas(66533) / 2128184670585621839884209100279   13875 Dec 2018 Serge Batalov Lucas cofactor
135 6 • Bern(5534) / 226840561549600012633271691723599339   13862 Feb 2014 David Metcalfe; Thomas Ritschel;
  Jens Kruse Andersen		 Irregular
136 B(66242)   13847 Apr 2018 Jared M. Polzer Brady number
137 4410546 • Bern(5526) / 9712202742835546740714595866405369616019   13840 Apr 2018 Thomas Ritschel Irregular
138 1013820 − 3   13820 Jun 2022 Markus Tervooren Near repdigit
139 1013807 + 13807    13808 Nov 2023 Anonymous Dual Cullen prime
140 (1013784 + 7) / 27771161176334419   13768 Mar 2021 Alfred Reich
141 4715140 + 5140471    13740 Mar 2023 Tengfei Wang Leyland plus-form
142 1013726 − 5 • 1013419 − 3   13726 Mar 2022 Ray Chandler
143 1013681 − 5 • 102824 − 1   13681 Mar 2022 Ray Chandler Part of a twin prime
144 1013681 − 5 • 102824 − 3   13681 Feb 2022 Ray Chandler Part of a twin prime
145 primB(163595)   13675 Jul 2018 Serge Batalov Lucas Aurifeuillian primitive part
146 4250! + 850! + 1   13578 Feb 2020 Peter Košinár
147 (418388 + 40) / 6353091241359073016116549653451   13498 May 2024 Alfred Reich Dual Williams cofactor
148 Φ(41470,10) / ​1658801   13434 Apr 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(41470)
149 (37593759 + 37583758) / 8408153197032643414637   13417 Apr 2015 Richard Dickerson Lifchitz plus cofactor
150 56667641271 • 244441 + 5   13389 Apr 2022 Oliver Kruse; Stephan Schöler Part of a prime triplet
151 p(140380916)   13191 May 2022 Chuck Lasher Partitions
152 p(140303751)   13187 May 2022 Chuck Lasher Partitions
153 primU(94551)   13174 Apr 2018 Serge Batalov Fibonacci primitive part
154 1013069 − 5 • 1012385 − 3   13069 Feb 2022 Ray Chandler
155 (1013023 + 7) / 6453389   13017 Mar 2021 Alfred Reich
156 primB(242295)   13014 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part
157 See complete expression   12998 Dec 2018 Serge Baralov
158 Φ(26008,10) / 4216522190067097972291840975367635579445657   12958 Apr 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(26008)
159 Φ(75740 [C+D] ,10) / ​204043561   12953 Apr 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(75740)
160 Φ(28455,10) / 5258291515652656797947926184778372614764081094641   12912 Mar 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(28455)
161 Φ(12972,1549) / 33320592661   12903 Sep 2011 Tom Wu Part of BLS primality proof of
  (154912973 − 1) / 1548
162 Fib(61813) / 2236143226659081266701   12897 Dec 2018 Serge Batalov Fibonacci cofactor
163 Φ(64060 [C-D] ,10)   12809 Mar 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(64060)
164 (1012817 + 7) / 3030281866046117   12802 Feb 2021 Alfred Reich
165 primU(62771)   12791 Apr 2018 Serge Batalov Fibonacci primitive part
166 (1012809 + 7) / 34790386359869004143   12790 Oct 2020 Alfred Reich
167 Φ(27472,10) / 4532606311701334388113   12779 Mar 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(27472)
168 p(131328565)   12758 Mar 2017 Serge Batalov Partitions
169 primA(154415)   12728 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part
170 (1012602 − 1) / 9 − 106301   12602 Mar 2023 Tengfei Wang Near repunit
171 primA(263865)   12570 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part
172 6 • Bern(5078) / 643283455240626084534218914061   12533 May 2013 Thomas Ritschel Irregular
173 M(41681) / 50021504124824209998331027904313150125767065389449583   12495 Apr 2015 Serge Batalov Mersenne cofactor
174 M(41521) / 41602235382028197528613357724450752065089   12459 Aug 2012 Tom Wu Mersenne cofactor
175 (1012454 + 7) / 465514545959   12443 Aug 2020 Alfred Reich
176 (22 • 268773+ 53) / 25   12414 Feb 2015 Anonymous
177 M(41263) / 1379707143199991617049286121   12395 Oct 2012 David Metcalfe Mersenne cofactor
178 R(12413) / 71981093659479847827654672018603   12382 Feb 2016 Ray Chandler Repunit cofactor
179 Φ(93420 [C-D] ,10) / 5026930200001   12372 Feb 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(93420)
180 Fib(59369) / 24424236691484660394583037561699885688092693836440759407570209763004757   12337 Apr 2015 Serge Batalov Fibonacci cofactor
181 p(122110618)   12302 Apr 2015 Serge Batalov Partitions
182 Φ(24832,10) / 216817628929793   12274 Jan 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(24832)
183 See complete expression   12266 Jan 2021 Paul S. Vanderveen
184 Φ(30650,10) / 55082730049767601   12224 Jan 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(30650)
185 primU(809,1,8662)   12214 Jul 2019 Serge Batalov Fibonacci primitive part
186 p(120052058)   12198 Dec 2012 David Metcalfe Partitions
187 (8008450840 • 240501 + 1) / 14886194409995637157139753229   12174 May 2017 Anonymous Proth cofactor
188 Φ(5655,34120) / 2271359859904984234411620898291   12155 Mar 2012 Tom Wu Part of BLS primality proof of
  (3412011311− 1) / 34119
189 (1012143 + 7) / 42686281893173706680658963579615275995302772319   12097 Sep 2020 Alfred Reich
190 (1012092 + 7) / 17674680705494895280031   12070 Sep 2020 Alfred Reich
191 (1012036 + 7) / 34769374508226918531515812507   12008 Mar 2024 Alfred Reich
192 664342014133 • 239840 − 29   12005 Mar 2020 Serge Batalov Part of a CPAP-3
193 664342014133 • 239840 − 59   12005 Apr 2020 Serge Batalov Part of a CPAP-3
194 1011999 + 63699   12000 Mar 2026 Tjark Koopmann
195 (25153532 + 35322515) / 58788056567   12000 Oct 2018 Edwin Hall Leyland plus-form cofactor
196 (200602792 − 200601396 + 1) / 6978841365608175696640474868614878036235777   11970 May 2015 Serge Batalov Cyclotomic polynomial cofactor
197 (33773377 + 33763376) / 10748454158666113155842929899   11888 Aug 2013 Richard Dickerson Lifchitz plus cofactor
198 R(14825) / R(2965) / 2385593169023127848787616597709045781314051389601   11812 Jan 2016 Ray Chandler Repunit cofactor
199 Sm10(3231) / 453699 ;See complete expression   11811 Dec 2021 Youcef Lemsafer Smarandache base 10 cofactor
200 Φ(27496,10) / 168030249266363848764289   11737 Jan 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(27496)
201 primA(143705)   11703 Apr 2017 Serge Batalov Lucas Aurifeuillian primitive part
202 1011659 − 5 • 101092 − 1   11659 Feb 2022 Ray Chandler Part of a prime twin; near repdigit
203 1011659 − 5 • 101092 − 3   11659 Feb 2022 Ray Chandler Part of a prime twin
204 4207993863 • 238624 + 5   11637 Jun 2021 Frank Doornink Part of a prime triplet
205 primV(83481)   11631 May 2015 Chuck Lasher Lucas primitive part
206 primU(73025)   11587 Apr 2015 Serge Batalov Fibonacci primitive part
207 primU(67781)   11587 Apr 2015 Serge Batalov Fibonacci primitive part
208 (32953295 + 32943294) / 12740953   11585 Jun 2013 Richard Dickerson Lifchitz plus cofactor
209 R(14485) / R(2897) / 51188280415874381036921   11566 Dec 2015 Ray Chandler Repunit cofactor
210 primB(219165)   11557 May 2015 Serge Batalov Lucas Aurifeuillian primitive part
211 primV(56356)   11557 Jun 2015 Chuck Lasher Lucas primitive part
212 primV(131040)   11557 Mar 2015 Chuck Lasher Lucas primitive part
213 primV(58672)   11557 Feb 2015 Chuck Lasher Lucas primitive part
214 Φ(57740 [C+D] ,10)   11545 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(57740)
215 ⌊(√2 • 1011539)⌋   11540 Jun 2026 Robert Baillie String in √2
216 1011504 − 5 • 1010085 − 3   11504 Feb 2022 Ray Chandler
217 Φ(47520,10) / ​11493924613839361   11504 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(47520)
218 Φ(35712,10) / ​5391064400230083022849   11499 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(35712)
219 Φ(86340 [C+D] ,10) / 32427678822181   11491 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(86340)
220 238090 + 47269   11467 Feb 2012 Norman Luhn Dual Sierpinski Problem
221 Φ(23572,10) / ​243203586324449   11466 Nov 2015 Ray Chandler Repunit cofactor of R(23572)
222 Fib(54799) / 4661437953906084533621577211561   11422 Jan 2015 David Broadhurst; Bouk de Water Fibonacci cofactor
223 (26 • 1011373 minus; 449) / 9   11374 Jan 2021 Thomas Ritschel
224 Fib(54521) / 6403194135342743624071073   11370 Jan 2015 David Broadhurst; Bouk de Water Fibonacci cofactor
225 327511 − 751132   11306 Nov 2023 Tengfei Wang Leyland minus-form
226 (19 • 1011286 − 91) / 32297260888735659   11271 Nov 2023 Alfred Reich
227 Φ(24466,10) / ​1312096417987559179   11262 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(24466)
228 ⌊(√2 • 1011259)⌋   11260 Jun 2026 Robert Baillie String in √2
229 1011225 − 8 • 109840 − 3   11225 Feb 2022 Ray Chandler
230 p(100077222)   11136 Nov 2012 David Metcalfe Partitions
231 Fib(53189) / 69431662887136064191105625570683133711989   11075 Dec 2014 David Broadhurst; Bouk de Water Fibonacci cofactor
232 primU(61733)   11058 Mar 2015 Serge Batalov Fibonacci primitive part
233 14059969053 • 236672 − 5   11050 Jun 2018 Serge Batalov Part of a prime triplet
234 Φ(41550,10) / ​2659201   11034 Nov 2015 Ray Chandler Repunit cofactor of R(41550)
235 Lucas(52859) / 1124137922466041911   11029 Oct 2014 David Broadhurst; Bouk de Water Lucas cofactor
236 1011021 + 3   11022 Oct 2023 Alfred Reich
237 (145 • 236579 + 1) / 80640950291793   11000 May 2021 Anonymous Proth cofactor
238 See complete expression   11000 May 2018 Edwin Hall
239 Φ(28952,10) / 6252357514486529280922692142551049114423577   10998 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(28952)
240 (11 • 1010981 + 3 • 1010965 + 2 • 109715 + 107314 + 102593 − 3 • 103218 − 51) / 9   10982 Oct 2025 Jason Yuen
241 (31413141 + 31403140) / 508719649   10976 May 2013 Richard Dickerson Lifchitz plus cofactor
242 Φ(34278,10) / 1678861663294594133263   10955 Oct 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(34278)
243 (1010903 + 7) / 70972859   10896 Aug 2020 Alfred Reich
244 5553964 − 3964555   10879 Dec 2023 Tengfei Wang Leyland minus-form
245 Φ(23698,10) / ​11095752925475302853   10861 Aug 2016 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(23698)
246 Lucas(52201) / 70585804042896975505694709575919458733851279868446609   10857 Mar 2015 David Broadhurst; Bouk de Water Lucas cofactor
247 Lucas(52009) / 39772636393178951550299332730909   10838 Mar 2015 David Broadhurst; Bouk de Water Lucas cofactor
248 19803281 − 32811980   10817 Dec 2023 Tengfei Wang Leyland minus-form
249 Lucas(51941) / 2808052157610902114547210696868337380250300924116591143641642866931   10789 Jan 2015 David Broadhurst; Bouk de Water Lucas cofactor
250 3554226 − 4226355   10778 Dec 2023 Tengfei Wang Leyland minus-form
251 1554914 − 4914155   10764 Dec 2023 Tengfei Wang Leyland minus-form
252 417877 + 3   10764 Sep 2015 Frank Schickel Dual Williams prime
253 745755 − 575574   10758 Nov 2023 Tengfei Wang Leyland minus-form
254 3428602715439 • 235678 + 13   10753 Apr 2020 Serge Batalov Part of a sexy prime triple
255 3428602715439 • 235678 + 7   10753 Apr 2020 Serge Batalov Part of a sexy prime triple
256 (235851 + 1) / 270128075618416280186665624066753024458414196059   10745 Aug 2019 Paul Underwood Wagstaff cofactor
257 811889 + 118898   10737 Feb 2012 Andrey V. Kulsha Leyland plus-form
258 2394506 + 2384505   10718 Nov 2024 Jason Yuen
259 Lucas(51349) / 224417260052884218046541   10708 Sep 2014 David Broadhurst; Bouk de Water Lucas cofactor
260 (235677 + 1) / 15923710079918268519082938436557873216969746649   10694 Feb 2020 Anand S Nair Wagstaff cofactor
261 Φ(21368,10) / 27699508108389263492021113   10659 May 2013 Alfred Reich Cyclotomic polynomial cofactor
  of R(21368)
262 188489 − 848918   10657 Oct 2023 Tengfei Wang Leyland minus-form
263 Fib(51031) / 95846689435051369   10648 Sep 2014 David Broadhurst; Bouk de Water Lucas cofactor
264 322316 + 2   10648 Oct 2015 Frank Schickel Dual Williams prime
265 Lucas(50989) / 69818796119453411   10640 Aug 2014 David Broadhurst; Bouk de Water Lucas cofactor
266 (245363571 • 235426 − 3) / 4840728260155155493606341384372091137139023   10630 Jun 2010 Tom Wu Part of sequence of four
  consecutively factored integers
267 (1010647 + 7) / 582839970850610767067   10627 Aug 2020 Alfred Reich
268 Φ(26570,10)   10625 Dec 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(26570)
269 φ(32184,10) / 149901609248398286998426345085780865697841494496161969   10603 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(32184)
270 2683143625525 • 235176 + 13   10602 Dec 2019 Gerd Lamprecht; Norman Luhn Part of a sexy prime triple
271 2683143625525 • 235176 + 7   10602 Dec 2019 Gerd Lamprecht; Norman Luhn Part of a sexy prime triple
272 5223899 − 3899522   10597 Jan 2024 Tengfei Wang Leyland minus-form
273 p(90048122)   10563 Oct 2012 David Metcalfe Partitions
274 M(35339) / 49098843038498904028395440486235033667674267835480981233904512709297747031041   10562 Apr 2015 Serge Batalov Mersenne cofactor
275 1213266377 • 235000 + 4859   10546 Mar 2014 David Broadhurst Part of a CPAP-3; d = 2430
276 1213266377 • 235000 + 2429   10546 Mar 2014 David Broadhurst Part of a CPAP-3; d = 2430
277 1043085905 • 235000 + 18197   10546 Feb 2014 David Broadhurst Part of a CPAP-3; d = 18198
278 1043085905 • 235000 − 18199   10546 Feb 2014 David Broadhurst Part of a CPAP-3; d = 18198
279 109061779 • 235003 + 11855   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 5928
280 109061779 • 235003 + 5927   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 5928
281 350049825 • 235000 + 7703   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 3852
282 350049825 • 235000 + 3851   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 3852
283 146462479 • 235001 − 8767   10545 Dec 2013 David Broadhurst Part of a CPAP-3; d = 8766
284 (19 • 1010515 + 287) / 9   10516 Jul 2022 Alfred Reich
285 primU(55297)   10483 Sep 2014 David Broadhurst; Bouk de Water Fibonacci primitive part
286 Φ(561,43669) / 361212114583   10472 Jun 2012 Andrew A. D. Steward
287 (234772 + 1) / 24665523763537   10455 Feb 2020 Anonymous
288 1215018 − 5018121   10452 Nov 2023 Tengfei Wang Leyland minus-form
289 21213140 − 31402121   10446 Nov 2023 Tengfei Wang Leyland minus-form
290 (19 • 1010435 + 521) / 9   10436 Jul 2024 Alfred Reich
291 234653 + 346532   10432 Sep 2010 Andrey V. Kulsha Leyland plus-form
292 3221449497221499 • 234567 + 5   10422 Aug 2015 Peter Kaiser Part of a prime triplet
293 1288726869465789 • 234567 − 5   10421 Apr 2014 Peter Kaiser Part of a prime triplet
294 Φ(31254,10) / ​1531447   10410 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(31254)
295 Φ(10679,10) / 2801351900096504446401206289755362971854729   10398 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(10679)
296 (1010393 + 7) / 96851   10389 May 2021 Alfred Reich
297 8733530 − 3530873   10382 Dec 2023 Tengfei Wang Leyland minus-form
298 Φ(4641,32556) / 21822667391000664007   10378 Jul 2012 Tom Wu Part of BLS primality proof of
  of (325569283 − 1) / 32555
299 See complete expression   10376 Nov 2018 Serge Batalov
300 417226 − 3   10372 Dec 2023 Matteo D'Aniello Dual Williams prime
301 Φ(34386,10) / 6573271911379053751098633975048464359927832533   10355 Oct 2023 Alfred Reich Cyclotomic polynomial cofactor
  of R(34386)
302 ( 19 • 1010338 + 719) / 9   10339 Jun 2024 Alfred Reich
303 See complete expression   10313 May 2025 Anonymous
304 Lucas(49391) / 298414424560419239   10305 Jun 2013 David Broadhurst; Bouk de Water Lucas cofactor
305 (19 • 1010296 − 1) / 9   10297 Feb 2012 Markus Tervooren
306 379 • 1010274 + 9   10277 Jan 2025 Jason Yuen
307 (234127 − 2) / 34127 + 1   10269 Mar 2025 Jason Yuen
308 26802987 + 29872680   10240 Oct 2017 Richard Dickerson Leyland plus-form
309 27352974 + 29742735   10222 Sep 2017 Richard Dickerson Leyland plus-form
310 ⌊(√42 • 1010212)⌋ % 1010212   10212 Jan 2016 Anonymous first 10212 digits of √42
311 613030 + 5   10140 Aug 2015 Frank Schickel Dual Williams prime
312 647935598824239 • 233619 + 5   10136 May 2019 Peter Kaiser Part of a prime triplet
313 209102639346537 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet
314 185353103135997 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet
315 162615027598677 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet
316 667674063382677 • 233608 + 7   10132 Feb 2019 Peter Kaiser Part of first known
  gigantic prime quadruplet
317 667674063382677 • 233608 + 5   10132 Feb 2019 Peter Kaiser Part of first known
  gigantic prime quadruplet
318 primV(77292)   10112 Jun 2014 Charles H (Chuck) Lasher; Harvey Dubner Lucas primitive part
319 p(82479677)   10109 Sep 2012 David Metcalfe Partitions
320 621988357825221 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet
321 489294113456196 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet
322 p(82352631)   10101 Sep 2012 Larry Soule Partitions
323 429915684905751 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet
324 79417260617886 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet
325 68048224519176 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet
326 56107655772636 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet
327 50917051471806 • 233505 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
328 90585694774959 • 233503 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
329 633669130955577 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
330 596754028175112 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
331 558173000087697 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
332 551381480912562 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
333 13994628271791 • 233505 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
334 442066703275842 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
335 405970802435022 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
336 356410982223402 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
337 233548 + 4471   10099 Jul 2012 Norman Luhn Dual Sierpinski Problem
338 171013289842167 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet
339 145360980646197 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet
340 140892134560437 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet
341 28387857090561 • 233501 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet
342 81505264551807 • 233444 + 5   10082 Jul 2012 Peter Kaiser Part of a prime triplet
343 296886 + 688629   10071 Jul 2021 Oliver Kruse Leyland plus-form
344 See complete expression   10066 Feb 2013 Rocke Verser Cyclotomic polynomial cofactor
  of (569300 − 1) / 4
345 φ(22575,10) / 567394760213977999801   10060 Oct 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(22575)
346 1191713 • 233337 − 6269   10042 Nov 2013 Pierre Cami Part of a CPAP-3; d = 6270
347 1191713 • 233337 − 12539   10042 Nov 2013 Pierre Cami Part of a CPAP-3; d = 6270
348 5073712 + 3712507   10041 Aug 2019 Dylan Delgado Leyland plus-form
349 18416522281203 • 233222 + 11   10015 Jan 2020 Peter Kaiser Part of a sexy prime triplet
350 18416522281203 • 233222 + 5   10015 Jan 2020 Peter Kaiser Part of a sexy prime triplet
351 (7 • 1010014 + 11) / 9 + 2 • 103046   10014 Jan 2015 Serge Batalov Part of a prime twin
352 (7 • 1010014 - 7) / 9 + 2 • 103046   10014 Jan 2015 Serge Batalov Part of a prime twin; near repdigit
353 1010010 + 1392367683   10011 Oct 2025 Stephan Schöler Reversible prime (emirp)
354 (86 • 1010003 + 13) / 9   10004 Apr 2026 Anonymous
355 (1010002 − 1) / 9 − 102872   10002 Feb 2023 Tengfei Wang Near repunit
356 See complete expression   10001 Sep 2012 Anonymous
357 956157 • 109994 + 711826   10000 Dec 2014 Anonymous
358 905832 • 109994 + 711826   10000 Mar 2018 Ben Chaffin
359 840879 • 109994 + 711826   10000 May 2023 Anonymous
360 233219 + 957645   10000 Mar 2026 Tjark Koopmann
361 See complete expression   10000 Jun 2018 Dennis Sydekum
362 1524583 − 1514583   10000 Sep 2012 Mike Oakes Generalized Mersenne
363 (7863457 + 3457786) / 14356930135   10000 May 2018 Edwin Hall Leyland plus-form cofactor
364 Fib(47848)+87736   10000 Mar 2024 Anonymous
365 ((11476 • 1035 + 9731)256 + 1) / 2   10000 Jul 2020 Anonymous Generalized half-Fermat
366 109999 + 2 • 102000 + 1   10000 Jun 2026 Robert Baillie
367 109999 + 2421018649   10000 Jun 2021 Norman Luhn Part of smallest
  10000-digit prime twin
368 109999 + 2421018651   10000 Jun 2021 Norman Luhn Part of smallest
  10000-digit prime twin
369 109999 + 131673   10000 May 2024 Mohammad Raja
370 109999 + 33603   10000 Apr 2013 Alfred Reich Smallest giantic prime
  re-certified via Primo
371 109999 − 11333   9999 Feb 2021 Robert Gelhar
372 1654504 + 4504165   9988 Jul 2021 Oliver Kruse Leyland plus-form
373 17813070 + 30701781   9980 Jul 2021 Oliver Kruse Leyland plus-form
374 711796 + 117967   9969 Mar 2012 Richard Dickerson Leyland plus-form
375 (241365 + 1) / (28273 + 1) / 11   9961 Feb 2020 Anonymous Wagstaff cofactor
376 p(80036992)   9958 Feb 2011 Bernardo Boncompagni Partitions
  Recertified via CM
377 See complete expression   9952 Aug 2020 Serge Batalov
378 416514 + 3   9943 Feb 2024 Tengfei Wang Dual Williams prime
379 M(35737) / M(2749) / M(13)   9927 Jan 2020 Anonymous Mersenne cofactor
380 (19 • 109909 + 593) / 63   9909 Jun 2024 Alfred Reich
381 320746 − 2   9899 Aug 2015 Frank Schickel Dual Williams prime
382 (19 • 109892 +359) / 27261   9889 Jun 2024 Alfred Reich
383 (109893 + 7) / 6100427   9887 Jul 2019 Alfred Reich
384 Φ(21148,10) / ​45666649764820374459170799717852031321   9883 Jul 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(21148)
385 (19 • 109885 − 73) / 713739951   9878 Jun 2024 Alfred Reich
386 Φ(4575,13117) / 12217779064071806064220724881552951   9849 Jun 2024 Tom Wu Part of BLS primality proof of
  (131179151 − 1) / 13116
387 15683081 + 30811568   9845 Jul 2021 Oliver Kruse Leyland plus-form
388 (19 • 109839 + 107) / 2871   9837 Jun 2024 Alfred Reich
389 (19 • 109830 − 91) / 19791   9827 Nov 2022 Alfred Reich
390 12563171 + 31711256   9827 Jul 2021 Oliver Kruse Leyland plus-form
391 (19 • 109827 + 611) / 49383   9824 Jun 2024 Alfred Reich
392 (8 • 109812 + 1) / 9   9812 Aug 2011 Markus Tervooren Near repdigit
393 11823185 + 31851182   9787 Jul 2021 Oliver Kruse Leyland plus-form
394 M(32531) / 1641222175081417   9778 Sep 2012 Youcef Lemsafer Mersenne cofactor
395 (19 • 109765 − 91) / 59499   9762 Nov 2022 Alfred Reich
396 (109771 + 3) / 1085352492397   9759 May 2019 Alfred Reich
397 715270 + 175270 + 3   9757 Mar 2020 Robert Gelhar
398 (19 • 109757 − 91) / 88973127714315781233   9739 Jan 2023 Alfred Reich
399 M(32611) /  
1514800731246429921091778748731899943932296901864652928732838910515860494755367311  		 9736 Jul 2018 Serge Batalov Mersenne cofactor
400 (232369 + 1) / 2925639699   9735 Jul 2019 Dylan Delgado Wagstaff cofactor
401 (19 • 109735 + 737) / 12717   9733 Jun 2024 Alfred Reich
402 (19 • 109737 + 719) / 75927861   9731 Jun 2024 Alfred Reich
403 Φ(19498,10) / ​1101686465944145927   9730 Jul 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(19498)
404 (232377 + 1) / 2420521622843587873017149019102968542017   9708 Jul 2019 Dylan Delgado Wagstaff cofactor
405 (19 • 109701 − 73) / 77298343045960041   9686 Jun 2024 Alfred Reich
406 (19 • 109673 + 161) / 1053   9672 Jun 2024 Alfred Reich
407 Φ(19472,10) / 1274145536668918929792263564476755419924398647986993990507235313   9665 Jul 2023 Alfred Reich Cyclotomic polynomial cofactor
  of R(19472)
408 1214638 − 4638121   9660 Oct 2023 Tengfei Wang Leyland minus-form
409 (109664 + 7) / 964073303341887456654835974225343680123715736108858219   9611 Jul 2020 Alfred Reich
410 Lucas(45953) / 4561241750239   9591 Mar 2012 Larry Soule; Predrag Minovic Lucas cofactor
411 (19 • 109585 + 449) / 9   9586 Jun 2024 Alfred Reich
412 15632996 + 29961563   9570 Sep 2017 Richard Dickerson Leyland plus-form
413 20352892 + 28922035   9569 Sep 2017 Richard Dickerson Leyland plus-form
414 M(32551) / M(757) / M(43) / 585919   9553 Jun 2022 Will Edgington Mersenne cofactor
415 (109584 + 3) / 839195807458860335859628417958089   9552 May 2019 Alfred Reich
416 10053178 + 31781005   9541 Jul 2021 Oliver Kruse Leyland plus-form
417 2523967 − 3967252   9527 Nov 2023 Tengfei Wang Leyland minus-form
418 E(3308) / 39308792292493140803643373186476368389461245   9516 Jun 2014 David Broadhurst; Bouk de Water Euler irregular
419 Φ(20644,10)   9505 Dec 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(20644)
420 231544 + 19081   9496 May 2012 Ivan Panchenko
421 (231601 + 1) / 1485259667656431321   9495 Jul 2019 Dylan Delgado
422 26402771 + 27712640   9482 Jan 2016 Richard Dickerson Leyland plus-form
423 25602779 + 27792560   9472 Jan 2016 Richard Dickerson Leyland plus-form
424 (79 • 1214545 − 1) / 6   9468 Apr 2018 Dennis Sydekum
425 3153784 + 3784315   9454 Jul 2021 Oliver Kruse Leyland plus-form
426 See complete expression   9453 Oct 2023 Alfred Reich Cyclotomic polynomial cofactor of
  R(29382)
427 3153782 + 3782315   9449 Jul 2021 Oliver Kruse Leyland plus-form
428 (19 • 109432 − 73) / 29248838887212027   9417 Jun 2024 Alfred Reich
429 (19 • 109420 + 773) / 19638051717439496545083   9399 Jun 2024 Alfred Reich
430 10783099 + 30991078   9399 Jul 2021 Oliver Kruse Leyland plus-form
431 (233167 + 1) / (21951 + 1) / 11592838867   9387 Jan 2020 Anonymous Wagstaff cofactor
432 Fib(49313) / Fib(4483) / 26333053   9362 Mar 2017 Jonathan A. Zylstra Fibonacci cofactor
433 &Phi(70740 [C-D] ,10)   9361 Jul 2015 Maksym Voznyy Cyclotomic polynomial cofactor of
  R(70740)
434 379 • 109318 + 9   9321 Jan 2025 Jason Yuen
435 16712890 + 28901671   9315 Aug 2017 Richard Dickerson Leyland plus-form
436 (19 • 109303 + 233) / 477   9302 Jun 2024 Alfred Reich
437 Lucas(44507)   9302 May 2017 Jonathan A. Zylstra Lucas
438 705041 + 71140   9302 Jul 2021 Oliver Kruse
439 148115 − 811514   9301 Oct 2023 Tengfei Wang Leyland minus-form
440 8883151 − 3151888   9291 Dec 2023 Tengfei Wang Leyland minus-form
441 (19 • 109290 + 791) / 117   9290 Jun 2024 Alfred Reich
442 (19 • 109260 + 773) / 24965206284135720119751685856774259   9227 Jun 2024 Alfred Reich
443 24452722 + 27222445   9223 Jan 2016 Richard Dickerson Leyland plus-form
444 22002759 + 27592200   9222 Jan 2016 Richard Dickerson Leyland plus-form
445 (109240 + 7) / 3774896489708919206291732878054783   9207 May 2019 Alfred Reich
446 3033710 + 3710303   9207 Jul 2021 Oliver Kruse Leyland plus-form
447 Lucas(43987) / 175949   9188 May 2014 David Broadhurst; Bouk de Water Lucas cofactor
448 (109206 + 7) / 688048921992466924229853435833   9177 Jun 2019 Alfred Reich
449 319217 − 2   9169 Jul 2015 Frank Schickel Dual Williams prime
450 24512696 + 26962451   9138 May 2015 Richard Dickerson Leyland plus-form
451 p(67230446)   9126 Mar 2012 Richard Dickerson Partitions
452 See complete expression   9124 May 2022 Serge Batalov Mersenne cofactor of M(33511)
453 26582659 + 26592658   9106 Nov 2021 Oliver Kruse Leyland plus-form
454 (19 • 109082 + 413) / 9   9083 Jul 2024 Alfred Reich
455 21972716 + 27162197   9077 Dec 2021 Oliver Kruse Leyland plus-form
456 (19 • 109083 + 107) / 1342008931131   9073 Jun 2024 Alfred Reich
457 (341 • 109065 − 71) / 9   9067 Feb 2024 Martin J. Weiss
458 (235147 + 1) / (25021 + 1) / 59023130377   9059 Dec 2019 Anonymous Wagstaff cofactor
459 (109076 + 7) / 24950192569182005996168561   9051 Jun 2019 Alfred Reich
460 (109094 + 7) / 8489726252769008928210183216883736569138799459   9049 Jun 2019 Alfred Reich
461 See complete expression   9048 Jul 2019 Serge Batalov
462 (145 • 229996 − 1) / 264953075691   9021 Nov 2016 Jared M. Polzer
463 23192680 + 26802319   9020 Nov 2021 Oliver Kruse Leyland plus-form
464 Fib(43399) / 470400609575881344601538056264109423291827366228494341196421   9010 Sep 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
465 (23772667 − 26672377) / 58   9003 Sep 2019 Geoffrey Yeung Leyland minus-form cofactor
466 (109002 − 1) / 9 − 10480   9002 Mar 2023 Tengfei Wang Near repunit
467 See complete expression   9000 May 2018 Edwin Hall
468 (109000 − 1) / 9 − 10417   9000 Feb 2023 Tengfei Wang Near repunit
469 (109000 − 1) / 9 − 102917   9000 Sep 2023 U.N.Owen Near repunit
470 108999 + 13215873   9000 Jun 2021 Robert Gelhar Smallest 9000-digit twin prime
471 108999 + 13215871   9000 Jun 2021 Robert Gelhar Smallest 9000-digit twin prime
472 108999 + 3541   9000 Jun 2021 Robert Gelhar Smallest 9000-digit prime
473 379 • 108984 + 9   8987 Dec 2024 Jason Yuen
474 (230907 + 1) / (2997 + 1) / 42859523044179292792213494693982721   8970 Dec 2019 Anonymous
475 Φ(26982,10) / 11907299538316246497415769818288592371   8951 Jun 2015 Maksym Voznyy Cyclotomic polynomial cofactor of
  R(26982)
476 229727 + 20273   8949 May 2012 Ivan Panchenko
477 16322779 + 27791632   8929 Jan 2016 Richard Dickerson Leyland plus-form
478 (19 • 108929 + 503) / 693   8928 Jun 2024 Alfred Reich
479 (19 • 108941 − 37) / 2056436134208397   8927 Jun 2024 Alfred Reich
480 primU(44113)   8916 Apr 2014 David Broadhurst; Bouk de Water Fibonacci primitive part
481 Fib(42829) / 107130175995197969243646842778153077   8916 Apr 2014 David Broadhurst; Bouk de Water Fibonacci number cofactor
482 (108911 + 7) / 106949069752220901578580747713983   8879 May 2019 Alfred Reich
483 20532680 + 26802053   8878 Dec 2015 Richard Dickerson Leyland plus-form
484 (19 • 108877 + 791) / 359019   8873 Jun 2024 Alfred Reich
485 7123107 + 3107712   8863 Jul 2021 Oliver Kruse Leyland plus-form
486 (108855 − 7) / 3   8855 Apr 2026 Anonymous Near repdigit
487 ((61032341 + 1) / 6104 + 1) / 11295134   8852 Sep 2026 Cimaron
    new  
488 (19 • 108844 + 341) / 9   8845 Jul 2024 Alfred Reich
489 (19 • 108856 − 91) / 1260316013443551   8843 Dec 2022 Alfred Reich
490 5533222 + 3222553   8838 Jul 2021 Oliver Kruse Leyland plus-form
491 229355 + 293552   8837 Sep 2012 Andrey V. Kulsha Leyland plus-form
492 M(29473) / 139640239316440423720389373549494109943   8835 Sep 2012 David Metcalfe Mersenne cofactor
493 (229437 + 1) / 85458319381840924489296618274137   8830 Nov 2018 Anand S Nair Wagstaff cofactor
494 primV(44914)   8828 Apr 2024 Matteo D'Aniello Lucas primitive part
495 (415486 + 40) / 8034382267731461503032440850084487   8814 May 2024 Alfred Reich Dual Williams cofactor
496 11362883 + 28831136   8809 Sep 2017 Richard Dickerson Leyland plus-form
497 (108839 + 7) / 2921645850231053827524861183061   8809 Jul 2019 Alfred Reich
498 23482613 + 26132348   8808 Jun 2015 Richard Dickerson Leyland plus-form
499 19042685 + 26851904   8806 May 2015 Richard Dickerson Leyland plus-form
500 12892826 + 28261289   8790 Aug 2017 Richard Dickerson Leyland plus-form
501 (19 • 108802 − 37) / 85824491234507973    8787 Jun 2024 Alfred Reich
502 Fib(42043) / 1681721   8780 Jan 2012 Larry Soule; Predrag Minovic Fibonacci cofactor
503 714716 + 471671   8731 Aug 2019 Dylan Delgado Leyland plus-form
504 21292622 + 26222129   8727 Dec 2015 Richard Dickerson Leyland plus-form
505 (229027 + 1) / 478164532867998705699   8718 Oct 2018 Anand S Nair Wagstaff cofactor
506 3 • (229441 + 1) / (2499 + 1) / (259 + 1)   8696 Dec 2019 Anonymous Wagstaff cofactor
507 (108708 + 7) / 2307119749003201816349   8687 May 2019 Alfred Reich
508 (914421 − 1) / 90   8659 May 2020 Robert Gelhar Generalized repunit
509 (19 • 108655 + 287) / 207   8654 Oct 2021 Alfred Reich
510 M(28771) / 104726441   8653 Jun 2012 Larry Soule; Predrag Minovic Mersenne cofactor
511 M(28759) / 226160777   8649 Sep 2012 Youcef Lemsafer Mersenne cofactor
512 Φ(36630,10)   8641 Feb 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(36630)
513 (19 • 108629 + 683) / 9   8630 Jun 2024 Alfred Reich
514 Φ(30744,10) / ​547933679497   8629 Jun 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(30744)
515 (108658 + 7) / 4339830274468560950273475329301323   8625 Jun 2019 Alfred Reich
516 See complete expression   8614 Jul 2018 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(23290)
517 17022665 + 26651702   8611 May 2015 Richard Dickerson Leyland plus-form
518 Φ(18668,10)   8593 Feb 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(18668)
519 (19 • 108587 − 37) / 26148303   8581 Jun 2024 Alfred Reich
520 See complete expression   8575 Oct 2011 Anonymous
521 See complete expression   8574 Jan 2024 Anonymous Mersenne cofactor of M(36127)
522 (108591 + 7) / 1572804278963514505019413   8567 Jun 2019 Alfred Reich
523 Φ(25722,10) / ​77167   8564 Jun 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(25722)
524 415298 + 145298 + 2   8545 Mar 2020 Robert Gelhar
525 B(40850)   8541 Apr 2018 Jared M. Polzer Brady number
526 (108555 + 7) / 2055629930687439450115007   8531 Jun 2019 Alfred Reich
527 (25212521 + 25202520) / 30494403934443087995870273408919980828188816057   8529 Dec 2012 Richard Dickerson Lifchitz plus-form cofactor
528 Fib(40763) / 643247084652261620737   8498 Nov 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
529 18672596 + 25961867   8492 Dec 2015 Richard Dickerson Leyland plus-form
530 24242495 + 24952424   8445 Jun 2017 Richard Dickerson Leyland plus-form
531 B(40313)   8429 Apr 2018 Jared M. Polzer Brady number
532 M(28381) / M(281) / M(101) / 44274361   8421 Apr 2021 Will Edgington Mersenne cofactor
533 (107 • 227929 − 1) / 21   8409 Jun 2024 Alfed Reich
534 (108443 + 1) / 49968217602794509828532608066556122847   8406 Jul 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(16886)
535 24322481 + 24812432   8401 Jul 2017 Richard Dickerson Leyland plus-form
536 primU(46711)   8367 Oct 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
537 20312528 + 25282031   8362 Jun 2017 Richard Dickerson Leyland plus-form
538 Φ(16815,10) / ​1015928671   8343 Jun 2015 Maksym Voznyy Repunit cofactor of R(16815)
539 (19 • 375310 + 1) / 4   8328 Mar 2018 Dennis Sydekum
540 M(34585) / M(6917) / M(5)   8328 Nov 2019 Anonymous Mersenne cofactor
541 (108317 − 85) / 15   8316 Apr 2026 Anonymous Near repdigit
542 See complete expression   8312 Apr 2020 Alfred Reich
543 (24542454 + 24532453) / 52030091043857   8306 Nov 2012 Richard Dickerson Lifchitz plus-form cofactor
544 9162803 + 2803916   8303 Aug 2017 Richard Dickerson Leyland plus-form
545 Lucas(39769) / 18139109172816581   8295 Nov 2013 David Broadhurst; Bouk de Water Lucas cofactor
546 604663 − 594663   8292 May 2020 Robert Gelhar Generalized Mersenne
547 20170108 • 108283 + 39   8291 Oct 2015 Peter Kaiser
548 903445893 • 610628 + 5   8280 Oct 2013 Serge Batalov Part of a prime triplet
549 Lucas(39607) / 158429   8273 Dec 2011 Bernardo Boncompagni Lucas cofactor
550 (108286 + 3) / 645296960632812487   8269 May 2019 Alfred Reich
551 68 • (108264 − 1) / 99 − 1   8264 Sep 2020 Robert Gelhar
552 Φ(10703,10) / ​19187781833404031   8264 May 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(10703)
553 See complete expression   8259 Jun 2019 Will Edgington Wagstaff cofactor
554 8362823 + 2823836   8250 Aug 2017 Richard Dickerson Leyland plus-form
555 Φ(24792,10) / ​133631136073   8245 May 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(24792)
556 108239 − 8 • 108026 − 3   8239 Feb 2022 Ray Chandler
557 (108248 + 7) / 912402062635530228013600567   8222 Apr 2020 Alfred Reich
558 19 • (108210 − 37) / 81   8210 Jun 2024 Alfred Reich
559 (108235 + 3) / 633967301273017126240803413322378221077   8197 May 2019 Alfred Reich
560 5552986 − 2986555   8195 Oct 2023 Tengfei Wang Leyland minus-form
561 (30852351 − 1) / 45252716055747420588   8184 Nov 2011 Anonymous Generalized repunit cofactor
562 primU(62373)   8173 Oct 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
563 See complete expression   8166 May 2015 Jared M. Polzer Mersenne cofactor of M(51375)
564 (108209 − 1) / 387027639720180030671334569044632439433106097191   8162 Aug 2023 Alfred Reich Repunit cofactor
565 (24132413 + 24122412) / 6458645951   8153 Dec 2012 Richard Dickerson Lifchitz plus-form cofactor
566 (108165 + 7) / 153665893445225269   8148 Jul 2019 Alfred Reich
567 20942453 + 24532094   8147 Jul 2017 Richard Dickerson Leyland plus-form
568 (19 • 108146 + 503) / 9   8147 Jul 2024 Alfred Reich
569 18582489 + 24891858   8137 Jul 2017 Richard Dickerson Leyland plus-form
570 4833028 + 3028483   8127 Sep 2018 Anonymous Leyland plus-form
571 Φ(1887, − 11758041) / 143966737875384936289   8125 Jul 2009 Andrew A. D. Steward
572 16472518 + 25181647   8100 Jul 2021 Oliver Kruse Leyland plus-form
573 M(28481) / M(1499) / 57795580141067427676103   8100 Nov 2021 Will Edgington Mersenne cofactor
574 (2 • 108088 − 11) / 9   8088 Dec 2020 Anonymous Near repdigit
575 (19 • 108069 + 539) / 9   8070 Jun 2024 Alfred Reich
576 1973514 + 3514197   8063 Jul 2021 Oliver Kruse Leyland plus-form
577 M(26903) / 1113285395642134415541632833178044793   8063 Dec 2011 Alexander Gramolin Mersenne cofactor
578 (12752593 − 1) / 1274   8050 Apr 2019 Richard Dickerson Generalized repunit cofactor
579 M(29557) / M(2687) / 2551723989369899135276396114560274078129   8050 Mar 2022 Will Edgington Mersenne cofactor
580 19952438 + 24381995   8046 Jul 2021 Oliver Kruse Leyland plus-form
581 (19 • 108041 − 37) / 9   8042 Nov 2023 Alfred Reich
582 M(29579) / M(2689) / 495557404683721214919524583128095295252776566709847213932561   8036 Apr 2022 Will Edgington Mersenne cofactor
583 (108043 + 7) / 14710149989   8033 Jun 2019 Alfred Reich
584 79500 + 6   8029 Oct 2023 Alfred Reich Dual Williams prime
585 (19 • 108038 − 37) / 173238212493   8029 Jul 2024 Alfred Reich
586 See complete expression   8022 May 2020 Serge Batalov Cyclotomic polynomial cofactor of
  (543200 − 1) / 4
587 108020 − 8 • 103878 − 3   8020 Feb 2022 Ray Chandler
588 117699 − 107699   8018 Feb 2018 Ray Chandler Generalized Mersenne
589 (88 • 108012 + 101) / 9   8013 Nov 2016 Jared M. Polzer
590 See complete expression   8012 Apr 2014 Anonymous
591 p(51831641)   8012 Sep 2012 Larry Soule; Predrag Minovic Partitions
592 17422471 − 24711742   8009 Nov 2020 Anonymous Leyland minus-form
593 108007 + 21   8008 Nov 2022 Nathan Pakaran
594 (108004 + 72) / 8   8004 Sep 2023 U.N.Owen
595 (108004 − 1) / 9 − 1051   8004 Feb 2023 Tengfei Wang Near repunit
596 (108001 − 1) / 9 − 102533   8001 May 2023 Tengfei Wang Near repunit
597 (156803 − 46803) / 11   8000 Feb 2018 Ray Chandler
598 See complete expression   8000 Mar 2018 Edwin Hall Leyland minus-form cofactor
599 (57272131 + 1) / 952102432   8000 Jan 2021 Anonymous
600 (108000 − 1) / 9 − 10938   8000 Feb 2023 Tengfei Wang Near repunit
601 107999 + 59692204797   8000 Jul 2023 Norman Luhn Part of smallest
  8000-digit prime triplet
602 107999 + 439617141   8000 Jun 2021 Robert Gelhar Part of smallest
  8000-digit prime twin
603 107999 + 439617139   8000 Jun 2021 Robert Gelhar Part of smallest
  8000-digit prime twin
604 107999 + 35887   8000 Jun 2021 Robert Gelhar Smallest 8000-digit prime
605 (19 • 107993 + 197) / 9   7994 Jul 2024 Alfred Reich
606 6662831 + 2831666   7994 Aug 2017 Richard Dickerson Leyland plus-form
607 (166637 + 56637) / 21   7991 Feb 2018 Ray Chandler
608 (35 • 107982 − 521) / 9   7983 Apr 2019 Alfred Reich
609 10942625 + 26251094   7978 Dec 2015 Richard Dickerson Leyland plus-form
610 614468 + 446861   7977 Jan 2013 Youcef Lemsafer Leyland plus-form
611 primU(43121)   7975 Aug 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
612 See complete expression   7963 Jul 2019 Serge Batalov
613 (61 • 107959 − 133) / 9   7960 Apr 2019 Alfred Reich
614 6 • Bern(3458) / 28329084584758278770932715893606309   7945 Feb 2013 David Broadhurst; Bouk de Water Irregular
615 413175 − 3   7933 Jul 2012 Frank Schickel Dual Williams prime
616 (107949 + 7) / 871923742919802447415612982689   7920 Jun 2019 Alfred Reich
617 574507 − 564507   7914 Jan 2018 Ray Chandler Generalized Mersenne
618 101918 • (106660 + 9 − 10667) / (9 • 10666 − 9) + 1   7912 Sep 2025 Jason Yuen
619 610163 − 101636   7909 Sep 2023 Tengfei Wang Leyland minus-form
620 Fib(37987) / 1832721858208455887947958246414213   7906 Sep 2012 Predrag Minovic Fibonacci cofactor
621 (19 • 107886 − 37) / 113698647   7880 May 2023 Alfred Reich
622 p(50001890)   7869 Sep 2012 Bernardo Boncompagni Partitions
623 (107907 + 7) / 1114497964121333572948008178967784389151991   7865 Jul 2019 Alfred Reich
624 11342573 + 25731134   7860 Jun 2017 Richard Dickerson Leyland plus-form
625 (107914 + 7) / 1396957215538716377069512578547816287966354283978705678029668659   7851 Jun 2019 Alfred Reich
626 Φ(15728,10) / ​471841   7851 May 2015 Maksym Voznyy Repunit cofactor of R(15728)
627 primB(145545)   7824 Sep 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
628 (107847 + 7) / 577154762758672603543575847071689   7815 Jul 2020 Alfred Reich
629 primV(56058)   7810 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part
630 (23 • 79235 − 11) / 6   7806 Apr 2022 Anonymous
631 Lucas(37357) / 20210113386303842894568629   7782 Sep 2013 David Broadhurst; Bouk de Water Lucas cofactor
632 101788 • (106660 + 9 − 10667) / (9 • 10666 − 9) + 1   7782 Sep 2025 Jason Yuen
633 Φ(12351,10) / 4205587422795313292495254549784912010905401815117045167041   7775 May 2015 Maksym Voznyy Repunit cofactor of R(12351)
634 Fib(37217) / 4466041   7771 Sep 2012 Bernardo Boncompagni Fibonacci cofactor
635 Φ(31590,10) / 143671321   7768 May 2015 Maksym Voznyy Repunit cofactor of R(31590)
636 (156599 + 26599) / 17   7760 Jan 2018 Ray Chandler
637 (6832741 + 1) / 3043346368764276   7754 Oct 2011 Anonymous Generalized Wagstaff cofactor
638 M(25933) / 7509131206200733798686591313477116352684279376232375492756406796303   7740 Dec 2016 Jared M. Polzer Mersenne cofactor
639 Φ(15472,10) / ​15473   7724 May 2015 Maksym Voznyy Repunit cofactor of R(15472)
640 1013853 − 1003853   7723 Jan 2018 Ray Chandler Generalized Mersenne
641 (107709 − 85) / 15   7708 Apr 2026 Anonymous Near repdigit
642 17102383 + 23831710   7705 Jan 2015 Richard Dickerson Leyland plus-form
643 Lucas(36779)   7687 Jan 2017 Jonathan A. Zylstra Lucas
644 107668 + 3   7669 Sep 2012 Markus Tervooren
645 See complete expression   7668 Mar 2013 David Broadhurst; Bouk de Water
646 primV(1624,− 1,2542) / 199516573522119490120154829286218330881   7668 Nov 2018 Serge Batalov Generalized Lucas primitive part
  cofactor
647 Φ(15934,10) / ​11704415147245823888273929   7655 May 2015 Maksym Voznyy Repunit cofactor of R(15934)
648 (19 • 107654 + 629) / 9   7655 Jul 2024 Alfred Reich
649 (510949 − 1) / 4   7653 Jan 2018 Ray Chandler Generalized repunit
650 12492470 + 24701249   7649 Jul 2017 Richard Dickerson Leyland plus-form
651 12742463 + 24631274   7649 Jul 2017 Richard Dickerson Leyland plus-form
652 Φ(15332;comma;10) / 275079177767470481   7647 Apr 2015 Maksym Voznyy Repunit cofactor of R(15332)
653 Lucas(36536) / 47   7634 Aug 2013 David Broadhurst; Bouk de Water Lucas cofactor
654 (2575! + 1) / 1822957061106092148747592420955933   7634 Apr 2021 Anonymous Factorial cofactor
655 17722349 + 23491772   7631 Jan 2015 Richard Dickerson Leyland plus-form
656 9742553 + 2553974   7630 Jun 2017 Richard Dickerson Leyland plus-form
657 Φ(23094,10) /   189493210241259527321974955122387292562485369077137155904951276518998525825074289   7612 Jul 2018 Maksym Voznyy Repunit cofactor of R(23094)
658 (136829 + 56829) / 18   7606 Dec 2017 Ray Chandler
659 11882473 + 24731188   7605 Jul 2017 Richard Dickerson Leyland plus-form
660 (19 • 107607 − 37) / 192263988817251   7594 Jun 2024 Alfred Reich
661 (97949 + 47949) / 13   7585 Dec 2017 Ray Chandler
662 (19 • 107598 − 91) / 56919919871061230913   7580 Dec 2022 Alfred Reich
663 (232 • 107573 − 7) / 9   7575 Nov 2021 Anonymous
664 2546
( ∑ n! ) / 99  
n=1  		 7566 Mar 2018 Oliver Kruse Sum factorial cofactor
665 90568041 • 225077 − 4501   7557 Nov 2013 Pierre Cami Part of CPAP-3; d = 4500
666 90568041 • 225077 − 9001   7557 Nov 2013 Pierre Cami Part of CPAP-3; d = 4500
667 (22662266 + 22652265) / 869635232777587156218059188587157144905207685987   7556 Jul 2013 Richard Dickerson Lifchitz plus-form cofactor
668 M(25243) / 1970147591084230937377310265007480335495455926417   7551 Dec 2016 Paul Underwood Mersenne cofactor
669 97900 − 79009   7539 Sep 2023 Tengfei Wang Leyland minus-form
670 49787793 • 225003 + 23267   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 11634
671 49787793 • 225003 + 11633   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 11634
672 368523657 • 225000 − 7081   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7080
673 368523657 • 225000 − 14161   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7080
674 122248047 • 225001 − 7831   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7830
675 122248047 • 225001 − 15661   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7830
676 192335307 • 225000 + 5129   7535 Sep 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 5130
677 192335307 • 225000 − 5131   7535 Sep 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 5130
678 19852284 + 22841985   7533 Jan 2015 Richard Dickerson Leyland plus-form
679 27373825 • (52322162 + 1) / (523294+1) / (523246 + 1)   7527 Jun 2023 Richard G
680 2113238 + 3238211   7527 Feb 2013 Youcef Lemsafer Leyland plus-form
681 6312 • (63112077 + 1) / (631167 + 1) / (631131 + 1)   7525 Jun 2023 Richard G.
682 (107520 − 1) / 9 − 10396   7520 Mar 2023 Tengfei Wang Near repunit
683 (107520 − 1) / 9 − 10889   7520 Mar 2023 Tengfei Wang Near repunit
684 107510 − 5 • 103785 − 3   7510 Feb 2022 Ray Chandler
685 (88317 + 78317) / 15   7510 Dec 2017 Ray Chandler
686 2353167 − 2343167   7510 Sep 2019 Geoffrey Yeung Generalized Mersenne
687 (107505 − 1) / 9 − 101475   7505 Feb 2023 Tengfei Wang Near repunit
688 (107502 − 1) / 9 − 106000   7502 Feb 2023 Tengfei Wang Near repunit
689 See complete expression   7499 Jun 2024 Alex Kruppa Mersenne cofactor of M(41481)
690 Φ(24174,10)   7488 Feb 2012 Ray Chandler
691 M(28973) / M(4139) / M(7)   7474 Nov 2019 Anonymous Mersenne cofactor
692 17383# / 5# + 307200   7473 Oct 2013 Dana Jacobsen Part of proven prime gap; d = 384902
693 17383# / 5# − 77702   7473 Oct 2013 Dana Jacobsen Part of proven prime gap; d = 384902
694 (19 • 107466 + 161) / 9   7467 Jun 2024 Alfred Reich
695 (19 • 107464 − 37) / 9   7465 Jun 2022 Alfred Reich
696 2113207 + 210   7454 Nov 2023 Alfred Reich Dual Williams prime
697 (117151 + 57151) / 16   7446 Dec 2017 Ray Chandler
698 M(31105) / M(6221) / 3420629618819649442922856047138672116778344043281   7443 Apr 2022 Will Edgington Mersenne cofactor
699 (19 • 107428 + 467) / 27   7428 Jun 2024 Alfred Reich
700 20002249 − 22492000   7425 Nov 2023 Tengfei Wang Leyland minus-form
701 19872250 − 22501987   7421 Nov 2023 Tengfei Wang Leyland minus-form
702 21342229 − 22292134   7421 Nov 2023 Tengfei Wang Leyland minus-form
703 185909 − 590918   7418 Oct 2023 Tengfei Wang Leyland minus-form
704 21302227 − 22272130   7413 Oct 2023 Tengfei Wang Leyland minus-form
705 13632362 + 23621363   7404 Jan 2013 Youcef Lemsafer Leyland plus-form
706 See complete expression   7400 Jun 2019 Luke W. Richards
707 Φ(59340 [C+D] ,10)   7393 Apr 2015 Maksym Voznyy Repunit cofactor of R(59340)
708 (2505! + 1) / 14710497940601040326627992468585620487   7392 Apr 2021 Anonymous Factorial cofactor
709 (224746 + 212373 + 1) /  
58305854117408409487051503011082595130128879501833462550759991100000001399058265  		 7389 Jun 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(74238)
710 Φ(7597,10) / 33805865174239540227567583070254786751201   7380 Mar 2015 Maksym Voznyy Repunit cofactor of R(7597)
711 See complete expression   7378 Nov 2019 Anonymous Mersenne cofactor of M(43281)
712 (434517 + 1) / 44   7377 Nov 2017 Ray Chandler Generalized Wagstaff
713 (35 • 107362 − 53) / 9   7363 Dec 2020 Maksym Voznyy
714 20472222 − 22222047   7358 Oct 2023 Tengfei Wang Leyland minus-form
715 (48002003 − 1) / 21173506801296313319759   7352 Jan 2012 Anonymous Generalized repunit cofactor
716 R(7871) / R(463) / R(17) / 519894821582622551617789763504983559487853   7351 Sep 2023 Alfred Reich Repunit cofactor
717 235387 − 225387   7336 Aug 2017 Ray Chandler Generalized Mersenne
718 2143147 + 3147214   7334 Aug 2019 Dylan Delgado Leyland plus-form
719 Φ(13905,10) / 27842676751   7334 Jan 2011 Tyler Cadigan; Erik Branger;
  Serge Batalov		 Repunit cofactor of R(13905)
720 19 • (107334 − 73) / 40007560889079   7322 Jun 2022 Alfred Reich
721 Lucas(35107) / 525110138418084707309   7317 Sep 2013 David Broadhurst; Bouk de Water Lucas cofactor
722 215533 + 125533 − 4   7316 Mar 2020 Robert Gelhar
723 (107338 + 3) / 73477406337935291661877   7316 May 2019 Alfred Reich
724 primA(161595)   7313 Sep 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
725 (19 • 107323 − 91) / 61740619280758646811783387   7299 Dec 2022 Alfred Reich
726 (19 • 107307 − 37) / 1826009674232161930037019   7285 Jun 2024 Alfred Reich
727 See complete expression   7283 Nov 2019 Anonymous Wagstaff cofactor
728 (65 • 107276 + 43) / 9   7277 Dec 2020 Maksym Voznyy
729 Φ(21858,10) / 86960501173   7276 Mar 2015 Maksym Voznyy Repunit cofactor of R(21858)
730 (107350 + 7) /  
29495606951985839674583903557445155443130918998167802152312517829085201474269  		 7274 Jun 2019 Alfred Reich
731 Fib(34897) / 4599458691503517435329   7272 Aug 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
732 69335 − 5   7265 Mar 2012 Frank Schickel Dual Williams number
733 Lucas(34759) / 27112021   7257 Jul 2005 Raffi Chaglassian Lucas cofactor
734 2455
( ∑ n! ) / 99  
n=1  		 7257 Mar 2018 Oliver Kruse Sum factorial cofactor
735 13542317 + 23171354   7256 Jan 2015 Richard Dickerson Leyland plus-form
736 Φ(21786,10) / ​43573   7256 Mar 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(21786)
737 Fib(34807) / 551750980997908879677508732866536453   7239 Jul 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
738 13742305 + 23051374    7234 Jan 2015 Richard Dickerson Leyland plus-form
739 464349 − 454349   7232 Aug 2017 Ray Chandler Generalized Mersenne
740 (32 • 107230 − 23) / 9   7231 Dec 2020 Maksym Voznyy
741 primV(52779)   7223 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part
742 (19 • 107224 − 91) / 1359   7223 Jun 2022 Alfred Reich
743 (514229 − 1) / 50   7220 May 2020 Robert Gelhar Generalized repunit
744 Fib(34607) / 13088506284255296513   7213 Jul 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
745 (224088 + 1) / 132312993000865342323575550035113436747393   7211 Nov 2019 Anonymous
746 (224853 − 1) / (2857 − 1) / 80057653377409   7210 Nov 2019 Anonymous Mersenne cofactor
747 Φ(18910,10)   7200 Jan 2013 Ray Chandler Repunit cofactor of R(18910)
748 (4392726 + 6) / 419833   7198 Apr 2024 U.N.Owen
749 9752408 + 2408975   7198 Jan 2015 Richard Dickerson Leyland plus-form
750 (1453331 + 23331) / 147   7198 May 2022 Kevin Thompson
751 Φ(14408,10) /​ 213275384168953   7186 Aug 2013 Alfred Reich Repunit cofactor of R(14408)
752 8912432 + 2432891   7175 Jul 2021 Oliver Kruse Leyland plus-form
753 primV(37193)   7173 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part
754 Φ(16954,10) / ​4698146048735902707099653/​19317754362871679533741980121   7172 Dec 2024 Maksym Voznyy Repunit cofactor of R(16954)
755 (883 • 225339 − 1) / 21   7169 Jul 2018 Dennis Sydekum
756 Φ(23664,10)   7168 Oct 2009 Ray Chandler Repunit cofactor of R(23664)
757 4772674 + 2674477   7163 Jul 2021 Oliver Kruse Leyland plus-form
758 primB(134415)   7163 May 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
759 20170108 • 107145 + 39   7153 Oct 2015 Peter Kaiser
760 (224457 − 212229 + 1) / (2661 + 2331 + 1) / 13445566669880869   7148 Nov 2019 Anonymous Cyclotomic polynomial cofactor
  of 248914 + 1
761 (394493 − 1) / 38   7148 Aug 2017 Ray Chandler Generalized repunit
762 p(41197951)   7142 Sep 2012 Larry Soule; Predrag Minovic Partitions
763 See complete expression   7138 Jan 2021 Thomas Ritschel
764 304831 − 294831   7136 Aug 2017 Ray Chandler Generalized Mersenne
765 6222551 + 2551622   7127 Jul 2021 Oliver Kruse Leyland plus-form
766 See complete expression   7117 Nov 2019 Anonymous
767 See complete expression   7106 Nov 2019 Anonymous
768 107070 + 6573   7071 Jan 2026 Anonymous
769 primV(36647)   7067 May 2013 David Broadhurst; Bouk de Water Lucas primitive part
770 534096 + 484096   7063 Apr 2012 Youcef Lemsafer
771 534096 + 24096   7063 Mar 2012 Youcef Lemsafer
772 primV(34532)   7063 May 2013 David Broadhurst; Bouk de Water Lucas primitive part
773 Fib(33997) / 8119544695419968014626314520991088099382355441843013   7053 Apr 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
774 See complete expression   7047 Nov 2019 Anonymous Mersenne cofactor of M(31195)
775 p(40100918)   7047 Jun 2011 Bernardo Boncompagni Partitions
776 (107067 + 7) / 758125592247064839112927   7044 Jun 2019 Alfred Reich
777 See complete expression   7034 Oct 2011 Anonymous Generalized Wagstaff cofactor
778 (175717 + 55717) / 22   7034 Aug 2017 Anonymous
779 2932850 + 2922849   7031 Nov 2024 Jason Yuen Leyland plus
780 (414404 + 40) /  
60350695092366928815780335638587006683989054391150068558453391099107850642063  		 7026 May 2024 Alfred Reich Dual Williams cofactor
781 (107032 + 7) / 2033417748328019   7017 Jun 2019 Alfred Reich
782 (14 • 107016 − 41) / 9   7017 Nov 2020 Maksym Voznyy
783 See complete expression   7016 Nov 2019 Anonymous Cyclotomic polynomial cofactor
  of 270146 + 1
784 primU(48965)   7012 Apr 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
785 See complete expression   7010 Nov 2016 Jared M. Polzer
786 (8 • 107010 − 71) / 1269   7008 Jan 2017 Jonathan A. Zylstra
787 (43601641 + 32822180) / 22180 / 49   7008 May 2019 Geoffrey Yeung
788 See complete expression   7006 Oct 2011 Anonymous
789 (314705 + 470531) / 136602350912   7006 May 2019 Geoffrey Yeung Leyland plus-form cofactor
790 See complete expression   7006 Sep 2020 Paul S. Vanderveen
791 (40282113 − 42262014) / 22014 / 120419623   7004 May 2019 Geoffrey Yeung
792 (107004 − 1) / 9 − 106771   7004 Feb 2023 Tengfei Wang Near repunit
793 (22 • 107002 − 37) / 3   7003 Apr 2018 Oliver Kruse
794 (107001 − 1) / 9 − 103729   7001 Feb 2023 Tengfei Wang Near repunit
795 p(39576498)   7000 May 2011 Larry Soule; Predrag Minovic Partitions
796 (45401229 + 24582270) / 22270 / 63714089660341   7000 Mar 2018 Edwin Hall
797 (107000 + 683) / 9   7000 Aug 2023 U.N.Owen
798 106999 + 151203771   7000 Jun 2021 Robert Gelhar Part of smallest 7000-digit prime twin
799 106999 + 151203769   7000 Jun 2021 Robert Gelhar Part of smallest 7000-digit prime twin
800 106999 + 33187   7000 May 2021 Norman Luhn Smallest 7000-digit prime
801 65537 • (224656+1) / (21072+1) / (2368+1)   6994 Nov 2019 Anonymous
802 6352494 + 2494635   6991 Jul 2017 Richard Dickerson Leyland plus-form
803 (21042104 + 21032103) / 47   6991 Oct 2012 Richard Dickerson Lifchitz plus-form cofactor
804 (227188 + 1) / (23884 + 1) / 22372070323502955134415617   6990 Nov 2019 Anonymous
805 9622343 + 2343962   6990 Jan 2015 Richard Dickerson Leyland plus-form
806 See complete expression   6986 Aug 2021 Serge Batalov
807 See complete expression   6985 Nov 2019 Anonymous Wagstaff cofactor
808 753722 + 372275   6979 Dec 2012 Youcef Lemsafer Leyland plus-form
809 See complete expression   6975 Jun 2012 Anonymous
810 (97297 + 87297) / 17   6962 Aug 2017 Ray Chandler
811 See complete expression   6962 Nov 2019 Anonymous
812 (106982 + 7) / 234851884077949231198379   6959 Jun 2019 Alfred Reich
813 (32 • 106959 − 23) / 99   6959 Feb 2002 Hans Rosenthal Palindrome
814 (78231 + 48231) / 11   6955 Jul 2017 Ray Chandler
815 6712460 + 2460671   6954 Jul 2017 Richard Dickerson Leyland plus-form
816 (19 • 106970 + 773) / 715467369534808473   6954 Jun 2024 Alfred Reich
817 (315409 − 1) / (3811 − 1) / 6536890310432543   6950 Aug 2020 Rocke Verser
818 19 • (106967 − 73) / 150944106707308002933   6949 Jun 2024 Alfred Reich
819 (223081 + 211541 + 1) / 5   6948 Nov 2019 Anonymous
820 − 10365630 • Bern(3100) /  
1670366116112864481699585217650438278080436881373643007997602585219667  		 6943 Jan 2021 Thomas Ritschel Irregular
821 V(33353) / 279902102741094707003083072429   6941 May 2013 David Broadhurst; Bouk de Water Lucas cofactor
822 Φ(14582,10) / ​2611268959667064539   6934 Mar 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(14582)
823 Φ(34900 [C+D] ,10) / 22642460708891182427073972175001   6929 Oct 2023 Alfred Reich Cyclotomic polynomial cofactor
  of R(34900)
824 (19 • 106925 + 197) / 9   6926 Jun 2024 Alfred Reich
825 (19 • 106933 + 107) / 1618813340397   6923 Jun 2024 Alfred Reich
826 ⌊(π • 107012)⌋ % (106918)   6918 Sep 2013 Dana Jacobsen String in Pi
827 See complete expression   6917 Nov 2019 Anonymous Mersenne cofactor of M(43455)
828 See complete expression   6916 Nov 2019 Anonymous Mersenne cofactor of M(38049)
829 (19 • 106914 + 287) / 243   6913 Jul 2024 Alfred Reich
830 M(23479) / M(443) / M(53) / 3052271   6913 Nov 2019 Anonymous Mersenne cofactor of M(23479)
831 Φ(19240,10)   6912 Feb 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(19240)
832 M(24263) / M(1277) / 25442075249   6910 Aug 2019 Will Edgington Mersenne cofactor of M(24263)
833 9232328 + 2328923   6903 Jan 2015 Richard Dickerson Leyland plus-form
834 (78192 + 58192) / 3081724379019134257273143298   6896 Oct 2025 Anonymous
835 (43 • 222900 − 1) / 3   6895 Apr 2018 Dennis Sydekum
836 (234401 + 1) / (211467 + 1) / 2087558910291   6892 Oct 2019 Anonymous Generalized Wagstaff cofactor
837 5372522 + 2522537   6885 Jul 2017 Richard Dickerson Leyland plus-form
838 (7 • 106877 − 27 • 103438 − 7) / 9   6877 Nov 2020 Anonymous Near repdigit
839 (122549 • 68818 + 1) / 5   6867 Apr 2018 Edwin Hall
840 (1293251 + 23251) / 131   6860 May 2022 Kevin Thompson
841 (106886 + 7) / 113633811387830296970154515359   6857 Jun 2019 Alfred Reich
842 See complete expression   6849 Aug 2025 Martin Hopf
843 Φ(18170,10) / 1767137880005589811   6846 Dec 2014 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(18170)
844 (48473931024 + 1) / 2   6846 Feb 2023 Matteo D'Aniello Generalized half-Fermat
845 Φ(20682,10) / 2798692082737973027123183549209   6846 Aug 2013 Alfred Reich Cyclotomic polynomial cofactor
  of R(20682)
846 411366 + 3   6844 Mar 2012 Frank Schickel Dual Williams
847 Φ(10887,10)   6841 May 2005 Raffi Chaglassian Cyclotomic polynomial cofactor
  of R(10887)
848 (873527 + 23527) / 89   6839 May 2022 Kevin Thompson
849 97166 + 71669   6839 Nov 2010 Andrey V. Kulsha Leyland plus-form
850 (68783 + 58783) / 11   6834 Feb 2017 Ray Chandler
851 (244951 + 1) / 25   6833 Jul 2017 Ray Chandler Generalized Wagstaff
852 ⌊(√10 • 106831)⌋ % 106831   6831 Jan 2025 Jason Yuen first 6831 digits of √10
853 See complete expression   6831 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 262590 + 1
854 (226551 + 1) / (23793 + 1) / 3718455069228610594056419   6827 Oct 2019 Anonymous Wagstaff cofactor
855 See complete expression   6823 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 266290 + 1
856 (1051061361 − 1) / 1864200403065   6823 Oct 2018 Richard Dickerson Generalized repunit cofactor
857 primU(58773)   6822 Apr 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
858 (19 • 106816 − 73) / 27   6816 Jun 2022 Alfred Reich
859 18032092 + 20921803   6812 Sep 2012 Andrey V. Kulsha Leyland plus-form
860 primV(33142)   6802 May 2013 David Broadhurst; Bouk de Water Lucas primitive part
861 15767# / 2310 + 147162   6800 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 318876
862 15767# / 2310 − 171714   6800 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 318876
863 15761# / 210 + 198546   6797 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 326404
864 15761# / 210 − 127858   6797 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 326404
865 (73 • 106788 + 89) / 9   6789 Nov 2020 Anonymous
866 (78011 + 28011) / 9   6770 Jul 2017 Ray Chandler
867 See complete expression   6764 Mar 2012 Ted Burton
868 14742133 + 21331474   6759 Sep 2012 Andrey V. Kulsha Leyland plus-form
869 (222483 + 211242 + 1) / 9651623917997   6756 May 2019 Anonymous Cyclotomic polynomial cofactor
  of 244966 + 1
870 See complete expression   6743 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 284330 + 1
871 (223083 + 1) / (2563 + 1) / 93358674556312409508751149713207142593   6742 Oct 2019 Anonymous Generalized Wagstaff cofactor
872 See complete expression   6740 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 279086 + 1
873 257 • (223288 + 1) / (2568 + 1) / (2328 + 1) / 465761   6738 Sep 2019 Will Edgington Proth cofactor
874 (106737 − 97) / 3   6737 Feb 2017 Serge Batalov
875 106725 − 1000000001   6725 Sep 2025 Anonymous Near repdigit
876 (106733 − 3) / 6253887456762001   6718 Apr 2022 Anonymous
877 (77933 + 37933) / 10   6704 Jul 2017 Ray Chandler
878 22582235875 • 222224 + 13   6701 Oct 2019 Gerd Lamprecht Part of sexy prime triple
879 22582235875 • 222224 + 7   6701 Oct 2019 Gerd Lamprecht Part of sexy prime triple
880 (19 • 106721 + 773) / 9062651391188862989799   6701 Jul 2024 Alfred Reich
881 See complete expression   6698 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 267182 + 1
882 16722075 + 20751672   6689 Sep 2012 Andrey V. Kulsha Leyland plus-form
883 See complete expression   6685 Nov 2018 Serge Batalov Part of CHG proof of Generalized
  Lucas U(1064, − 1065, 8311)
884 (106743 + 7) / 14863466332495969797611135224375193989475653765199677556291621   6682 Jun 2019 Alfred Reich
885 1962914 + 195   6680 Oct 2023 Alfred Reich Dual Williams
886 5352448 + 2448535   6680 Jul 2017 Richard Dickerson Leyland plus-form
887 See complete expression   6676 May 2019 Anonymous Cyclotomic polynomial cofactor
  of 268226 + 1
888 See complete expression   6676 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 269078 + 1
889 (106729 + 3) / 14559547600622029476183905215000331740787128910418365291   6674 May 2019 Alfred Reich
890 Fib(32077)/153087505413829037510511957221947361   6669 May 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
891 (19 • 106677 + 287) / 1063976575491   6667 Jul 2024 Alfred Reich
892 See complete expression   6665 Aug 2019 Will Edgington Mersenne cofactor of M(33909)
893 See complete expression   6663 Nov 2025 Jason Yuen
894 6622361 + 2361662   6661 Jan 2013 Youcef Lemsafer Leyland plus-form
895 (195209 − 55209) / 14   6660 Jul 2017 Ray Chandler
896 4142543 + 2543414   6656 Jul 2017 Richard Dickerson Leyland plus-form
897 (106655 − 6 • 104147 − 1) / 3   6655 Jan 2015 Serge Batalov Part of a prime twin
  Near repdigit
898 (106655 − 6 • 104147 − 7) / 3   6655 Jan 2015 Serge Batalov Part of a prime twin
899 See complete expression   6652 Apr 2018 Edwin Hall
900 Φ(16898,10) /  
814823906115239146435608781127077031373697040944185947532896577230713013096247491  		 6640 Dec 2024 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(16898)
901 6 • Bern(2974) / 19622040971147542470479091157507   6637 Mar 2013 David Broadhurst; Bouk de Water Irregular
902 (106660 − 10667 + 9) • 10641 / (9 • 10666 − 9) + 1   6635 Sep 2025 Jason Yuen
903 See complete expression   6625 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of M(67854)
904 M(22193) / 273863039317330926278125662736759272602922587295756460195087   6622 Apr 2018 Serge Batalov Mersenne cofactor
905 2982675 + 2675298   6619 Jul 2017 Richard Dickerson Leyland plus-form
906 M(22327) / M(269) / M(83)   6616 Oct 2018 Anonymous Mersenne cofactor
907 Φ(59220 [C-D], 10) / ​23988304621   6614 Nov 2014 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(59220)
908 221961 − 25   6611 Mar 2025 Jason Yuen
909 (106648 + 7) / 304209266558387244456676872896373826423   6610 Jul 2020 Alfred Reich
910 (62 • 613698 + 1) / 3   6604 Apr 2018 Dennis Sydekum Williams Primes cofactor
911 7121 • 15319# / 210 + 95668   6600 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 303670
912 7121 • 15319# / 210 − 208002   6600 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 303670
913 (106600 − 1) / 9 − 1026   6600 Feb 2023 Tengfei Wang Near repunit
914 379 • 106595 + 9   6598 Nov 2024 Jason Yuen
915 Sm10(1927) / 637 ; See complete expression   6598 Dec 2021 Youcef Lemsafer Smarandache base 10 cofactor
916 primV(50046)   6591 Apr 2013 David Broadhurst; Bouk de Water Lucas primitive part
917 2082843 + 2843208   6591 Oct 2017 Richard Dickerson Leyland plus-form
918 (77793 + 57793) / 12   6585 Jul 2017 Ray Chandler
919 See complete expression   6584 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 282230 + 1
920 See complete expression   6583 Apr 2018 Edwin Hall
921 See complete expression   6583 Jul 2019 Serge Batalov Part of BLS proof of Lehmer number
  U(23396,1,6615)+U(23396,1,6614)
922 (106623 + 7) / 22277182204821459414822475234404388371777756088223   6574 Jun 2019 Alfred Reich
923 See complete expression   6559 Nov 2018 Serge Batalov Part of BLS proof of Lehmer number
  U(13084, − 13085, 6151)
924 (106590 + 7) / 205046428684143227065656872150429   6558 Jul 2020 Alfred Reich
925 See complete expression   6545 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 265502 + 1
926 (106572 + 7) / 782334190678439520683183800481   6543 Jun 2019 Alfred Reich
927 (19 • 106548 + 287) / 1153276249941   6538 Jul 2024 Alfred Reich
928 (19 • 106536 + 539) / 9   6537 Jun 2024 Alfred Reich
929 See complete expression   6532 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 289310 + 1
930 (106531 + 62) / 18   6530 Apr 2026 Anonymous Near repdigit
931 (106552 + 7) / 140603343167194885797204709   6526 Jun 2019 Alfred Reich
932 (19 • 106516 + 287) / 5391   6514 Jun 2022 Alfred Reich
933 (221628 + 1) / 4412129   6505 Oct 2019 Anonymous
934 primA(123405)   6502 Apr 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
935 (19 • 106521 − 73) / 101239118583762106035221823   6497 Jun 2024 Alfred Reich
936 (155521 + 45521) / 19   6492 Jul 2017 Ray Chandler
937 13822067 + 20671382   6492 Jul 2021 Oliver Kruse Leyland plus-form
938 (106548 + 7) / 176130556534185844998374676192215498979421567624706937331781   6489 Jun 2019 Alfred Reich
939 (19 • 106509 + 287) / 10050172858512444043783720179279   6480 Jul 2024 Alfred Reich
940 (221613 + 1) / 103598477510408143808118186891   6478 Sep 2018 Anand S Nair Wagstaff cofactor
941 Φ(51300 [C+D],10) / ​513001   6475 Nov 2014 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(51300)
942 See complete expression   6471 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 250302 + 1
943 (19 • 106469 + 647) / 243   6468 Jun 2024 Alfred Reich
944 135794 − 12   6455 Oct 2023 Tengfei Wang Dual Williams
945 5962325 + 2325596   6453 Feb 2013 Youcef Lemsafer Leyland plus-form
946 (106499 + 7) / 82978315411247268087379625769952463936618495376059   6450 Jun 2019 Alfred Reich
947 (83 • 106448 − 11) / 9   6449 Oct 2025 Jason Yuen
948 (106486 + 3) / 4453798899002925919492911741492193477267   6447 May 2019 Alfred Reich
949 (19 • 106444 + 539) / 9   6445 Jun 2024 Alfred Reich
950 (106458 + 1) / 403471822956421   6444 Apr 2013 Alfred Reich
951 (19 • 106442 + 359) / 117   6442 Jun 2024 Alfred Reich
952 1592925 + 158   6440 Apr 2024 Dylan Delgado Dual Williams
953 (19 • 106441 + 773) / 74129814369   6432 Jun 2022 Alfred Reich
954 See complete expression   6430 Apr 2018 Edwin Hall
955 See complete expression   6428 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 264090 + 1
956 (19 • 106427 + 593) / 27   6427 Jun 2024 Alfred Reich
957 633571 − 623571   6426 Jul 2017 Ray Chandler Generalized Mersenne
958 See complete expression   6425 Jun 2013 David Broadhurst; Bouk de Water Lucas(31547) cofactor
959 See complete expression   6416 Nov 2018 Anonymous Cyclotomic polynomial cofactor
  of 274718 + 1
960 1603353405 • 221282 + 24167   6416 Oct 2013 Anonymous Part of CPAP-3; d = 12084
961 1603353405 • 221282 + 12083   6416 Oct 2013 Predrag Minovic Part of CPAP-3; d = 12084
962 (1382999 + 1372999) / 275   6416 Jun 2017 Ray Chandler
963 See complete expression   6415 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 265514 + 1
964 (88 • 106407 − 259) / 9   6408 Nov 2020 Masaki UKAI
965 (37 • 106411 + 17) / 5825763   6406 Oct 2020 Masaki UKAI
966 (13 • 106405 +71) / 3   6406 Nov 2020 Masaki UKAI
967 (19 • 106406 + 701) / 189   6406 Jun 2024 Alfred Reich
968 ((210642 +1)2 +3) / 292   6405 Oct 2019 Anonymous
969 (106405 − 382) / 6   6405 Nov 2020 Masaki UKAI
970 (8 • 106404 − 89) / 9   6404 Nov 2020 Masaki UKAI
971 (26 • 106403 + 67) / 3   6404 Nov 2020 Masaki UKAI
972 (67 • 106403 +239) / 9   6404 Nov 2020 Masaki UKAI
973 (58 • 106408 − 31) / 10194147   6403 Oct 2020 Masaki UKAI
974 (8 • 106415 − 3) / 56694981404831   6403 Oct 2020 Masaki UKAI
975 2432683 + 242   6401 Apr 2024 Dylan Delgado Dual Williams
976 Fib(30727) / 2281521813578534245193   6400 May 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
977 (77573 − 57573) / 2   6400 Jun 2017 Ray Chandler
978 (76 • 106398 + 113) / 9   6399 Nov 2020 Masaki UKAI
979 (86 • 106415 − 23) / 1711357298232410529   6399 Oct 2020 Masaki UKAI
980 (115 • 106396 − 1) / 3   6398 Nov 2020 Masaki UKAI
981 (14 • 106398 − 11) / 69   6398 Sep 2020 Masaki UKAI
982 4183191138 + 418318   6398 Nov 2023 Alfred Reich Dual Williams
983 394021 − 38   6398 Nov 2020 Masaki UKAI Dual Williams
984 (73 • 106398 71) / 2457   6397 Sep 2020 Masaki UKAI
985 See complete expression   6397 Oct 2019 Anonymous
986 (11 • 106396 + 349) / 9   6397 Nov 2020 Masaki UKAI
987 (313418 + 1) / 1610170   6396 Sep 2020 Masaki UKAI
988 6262287 − 2287626   6396 Nov 2020 Masaki UKAI Leyland minus-form
989 (29 • 106394 + 259) / 9   6395 Sep 2020 Masaki UKAI
990 (106401 + 7) / 14776043   6394 Jun 2019 Alfred Reich
991 (106394 + 191) / 3   6394 Nov 2020 Masaki UKAI
992 (4 • 106397 + 41) / 13311   6394 Sep 2020 Masaki UKAI
993 (653412 • 341265 + 1) / 7639426886319358247777   6394 Oct 2020 Masaki UKAI Generalized Hyper-Cullen cofactor
994 (206 • 106391 − 17) / 9   6393 Nov 2020 Masaki UKAI
995 (52 • 1063901 − 583) / 9   6391 Nov 2020 Masaki UKAI
996 (106399 + 7) / 435483457   6391 Jun 2019 Alfred Reich
997 7 • 106389 − 9   6390 Sep 2020 Masaki UKAI
998 (6 • 106395 − 7) / 10751879   6389 Oct 2020 Masaki UKAI
999 (73 • 106392 +17) / 168291   6389 Oct 2020 Masaki UKAI
1000 8792170 + 2170879   6389 Sep 2012 Andrey V. Kulsha Leyland plus-form
1001 (106400 − 85) / 549303586995   6389 Sep 2020 Masaki UKAI
1002 (22 • 106386 + 17) / 3   6387 Sep 2020 Masaki UKAI
1003 (41 • 106386 + 211) / 9   6387 Nov 2020 Masaki UKAI
1004 (106395 + 9) / 246600263   6387 Oct 2020 Masaki UKAI
1005 (41 • 10^6385 − 203) / 9   6386 Nov 2020 Masaki UKAI
1006 89 • 106383 − 7   6385 Nov 2020 Masaki UKAI
1007 (19 • 106387 + 341) / 6741   6385 Jul 2024 Alfred Reich
1008 (19 • 106384 − 1) / 9   6385 Sep 2020 Masaki UKAI
1009 (29 • 106383 + 439) / 9   6384 Nov 2020 Masaki UKAI
1010 See complete expression   6384 Nov 2024 Jason Yuen
1011 (527 • 106379 + 13) / 9   6381 Nov 2020 Masaki UKAI
1012 (21225 • 221226 + 1) / 54435768066251   6381 Oct 2020 Masaki UKAI Near Cullen cofactor
1013 (58 • 106379 + 131) / 9   6380 Nov 2020 Masaki UKAI
1014 ((177 • 221222 + 1) / 81546809 + 1) / 2118   6380 Mar 2015 Anonymous
1015 (14 • 106378 − 83) / 3   6379 Nov 2020 Masaki UKAI
1016 (14 • 106381 +1) / 8853   6379 Oct 2020 Masaki UKAI
1017 (21200 • 221199 + 1) / 74853661   6378 Sep 2020 Masaki UKAI Near Cullen cofactor
1018 (106381 − 28) / 1836   6378 Sep 2020 Masaki UKAI
1019 (4 • 106394 + 17) / 638158379191613365269   6374 Oct 2020 Masaki UKAI
1020 (76 • 106374 + 41) / 621   6374 Nov 2020 Masaki UKAI
1021 (34 • 106378 − 61) / 5549823   6373 Oct 2020 Masaki UKAI
1022 (2509 • 221206 + 1) / 208315384258859   6373 Nov 2020 Masaki UKAI
1023 (47 • 106372 − 83) / 9   6373 Nov 2020 Masaki UKAI
1024 14827# / 11# + 133436   6373 Nov 2013 Dana Jacobsen Part of proven prime gap; d = 294642
1025 14827# / 11# − 161206   6373 Nov 2013 Dana Jacobsen Part of proven prime gap; d = 294642
1026 (73 • 106381 − 1) / 19139714361   6373 Oct 2020 Masaki UKAI
1027 (21216 • 221216 + 1) / 4881423234461281949   6373 Oct 2020 Masaki UKAI Cullen cofactor
1028 (4785 • 221203 + 1) / 205752807906287   6373 Nov 2020 Masaki UKAI
1029 18811946 + 19461881   6372 Jul 2021 Oliver Kruse Leyland plus-form
1030 (28 • 106370 + 647) / 9   6371 Nov 2020 Masaki UKAI
1031 (73 • 221171 + 1) / 52065   6371 Nov 2020 Masaki UKAI Proth cofactor
1032 (28 • 106369 − 79) / 3   6370 Nov 2020 Masaki UKAI
1033 (58 • 106370 + 23) / 603   6369 Oct 2020 Masaki UKAI
1034 (19331940 − 19401933) / 3064243   6369 Nov 2020 Masaki UKAI Leyland minus-form cofactor
1035 (19 • 106373 + 611) / 516177   6369 Jun 2024 Alfred Reich
1036 (63 • 221246 + 1) / 85628634509082201129332146103   6369 Nov 2020 Masaki UKAI Proth cofactor
1037 89 • 106366 − 3   6368 Nov 2020 Masaki UKAI
1038 (64 • 106375 + 53) / 58642808697   6367 Oct 2020 Masaki UKAI
1039 (77577 + 1) / 25503753010544086902592043488124072824   6366 Nov 2024 Jiahao He Generalized Wagstaff cofactor
1040 19111940 + 19401911   6366 Jul 2021 Oliver Kruse Leyland plus-form
1041 (106373 + 53) / 80500707   6366 Sep 2020 Masaki UKAI
1042 (116113 + 1) / 12   6365 Jun 2017 Ray Chandler Generalized Wagstaff
1043 (28 • 106364 + 251) / 9   6365 Nov 2020 Masaki UKAI
1044 Fib(31049) / Fib(509) / 1555390225712923741   6365 Mar 2017 Jonathan A. Zylstra Fibonacci cofactor
1045 (89 • 106363 − 17) / 9   6364 Sep 2020 Masaki UKAI
1046 (62 • 106363 − 773) / 9   6364 Nov 2020 Masaki UKAI
1047 2 • 106363 + 87   6364 Nov 2020 Masaki UKAI
1048 (5 • 106373 + 7) / 74973957801   6363 Oct 2020 Masaki UKAI
1049 (39 • 221164 + 1) / 8941665175   6363 Nov 2020 Masaki UKAI Proth cofactor
1050 (3 • 5882300 − 1) / 26103337   6363 Oct 2020 Masaki UKAI
1051 (106364 + 68) / 3396   6361 Oct 2020 Masaki UKAI
1052 (32 • 106371 − 23) / 1115519619159   6361 Sep 2020 Masaki UKAI
1053 See complete expression   6360 Apr 2018 Edwin Hall
1054 (109 • 106358 − 7) / 3   6360 Nov 2020 Masaki UKAI
1055 (106360 − 19) / 9   6360 Nov 2020 Masaki UKAI
1056 (76 • 10sup>6364 − 13) / 203090751   6358 Sep 2020 Masaki UKAI
1057 (59 • 106356 + 31) / 9   6357 Sep 2020 Masaki UKAI
1058 (38 • 106356 + 349) / 9   6357 Nov 2020 Masaki UKAI
1059 (41 • 106358 + 31) / 1629   6357 Sep 2020 Masaki UKAI
1060 (85 • 106363 − 13) / 878911677   6356 Oct 2020 Masaki UKAI
1061 (28 • 106355 + 191) / 3   6356 Nov 2020 Masaki UKAI
1062 (53 • 106355 − 161) / 9   6356 Nov 2020 Masaki UKAI
1063 (29 • 106355 + 511) / 9   6356 Nov 2020 Masaki UKAI
1064 12202059 − 20591220   6355 Nov 2020 Masaki UKAI Leyland minus-form
1065 See complete expression   6355 Apr 2018 Edwin Hall
1066 (53 • 106371 + 1) / 7153541762489102169   6354 Oct 2020 Masaki UKAI
1067 (79 • 106360 − 43) / 1276589169   6353 Oct 2020 Masaki UKAI
1068 34 • 106351 − 3   6353 Nov 2020 Masaki UKAI
1069 (116101 + 26101) / 13   6353 Jun 2017 Ray Chandler
1070 (38 • 106359 + 43) / 325440999   6353 Oct 2020 Masaki UKAI
1071 9 • 106351 − 73   6352 Nov 2020 Masaki UKAI
1072 (14 • 106351 + 193) / 9   6352 Nov 2020 Masaki UKAI
1073 (19 • 106354 + 53) / 52119   6351 Sep 2020 Masaki UKAI
1074 (7 • 106350 − 439) / 9   6350 Nov 2020 Masaki UKAI
1075 (2 • 106366 − 3) / 48165027727350077   6350 Sep 2020 Masaki UKAI
1076 7 • 106348 + 57   6349 Nov 2020 Masaki UKAI
1077 (55 • 106348 + 287) / 9   6349 Nov 2020 Masaki UKAI
1078 13942019 − 20191394   6349 Nov 2020 Masaki UKAI Leyland minus-form
1079 (21092 • 221093 − 1) / 17950947   6347 Oct 2020 Masaki UKAI Near Woodall cofactor
1080 (4 • 106358 + 7) / 1114221372077   6347 Oct 2020 Masaki UKAI
1081 106344 + 7   6345 Jun 2019 Alfred Reich
1082 (67 • 106343 + 131) / 9   6344 Nov 2020 Masaki UKAI
1083 (28 • 106342 + 629) / 9   6343 Nov 2020 Masaki UKAI
1084 (14 • 106343 − 41) / 99   6343 Sep 2020 Masaki UKAI Palindrome
1085 (31 • 106355 − 13) / 381785370876261   6342 Nov 2020 Masaki UKAI
1086 (58 • 106341 + 401) / 9   6342 Nov 2020 Masaki UKAI
1087 (231764 + 1) / (210588 + 1) / 954481623980101611778469638877713   6342 Oct 2019 Anonymous
1088 (4 • 106341 − 19) / 3   6342 Nov 2020 Masaki UKAI
1089 (88 • 106348 − 61) / 1076451633   6341 Nov 2020 Masaki UKAI
1090 (502 • 106339 − 61) / 9   6341 Nov 2020 Masaki UKAI
1091 (19 • 106348 + 341) / 1051999551   6341 Jun 2024 Alfred Reich
1092 primV(53256)   6340 Apr 2013 David Broadhurst; Bouk de Water Lucas primitive part
1093 (21129 • 221130 − 1) / 119567947314953666511889465   6340 Oct 2020 Masaki UKAI Near Woodall cofactor
1094 (106349 − 7) / 21198273567   6339 Oct 2020 Masaki UKAI
1095 (26 • 106338 − 71) / 1503   6337 Sep 2020 Masaki UKAI
1096 (29 • 106339 − 11) / 50751   6336 Oct 2020 Masaki UKAI
1097 4 • 106335 − 87   6336 Nov 2020 Masaki UKAI
1098 (29 • 106340 − 17) / 2573097   6336 Oct 2020 Masaki UKAI
1099 (17 • 106334 + 67) / 3   6335 Nov 2020 Masaki UKAI
1100 (55 • 106340 + 53) / 53761491   6335 Oct 2020 Masaki UKAI
1101 (77 • 106336 + 13) / 42507   6334 Sep 2020 Masaki UKAI
1102 (47 • 106332 − 173) / 9   6333 Nov 2020 Masaki UKAI
1103 5 • 106331 − 3   6332 Sep 2020 Masaki UKAI
1104 (17 • 106336 − 53) / 1918503   6331 Sep 2020 Masaki UKAI
1105 314245 + 134245 + 3   6331 Mar 2020 Robert Gelhar
1106 (106331 + 63 • 103165 − 1) / 9   6331 Sep 2020 Masaki UKAI Near repunit
1107 9 • 106329 − 53   6330 Nov 2020 Masaki UKAI
1108 (19 • 106333 + 593) / 35847   6330 Jun 2024 Alfred Reich
1109 (106331 − 964) / 36   6330 Nov 2020 Masaki UKAI
1110 106329 + 97   6330 Nov 2020 Masaki UKAI
1111 (19 • 106328 + 137) / 3   6329 Nov 2020 Masaki UKAI
1112 (79 • 106335 + 11) / 145768707   6329 Sep 2020 Masaki UKAI
1113 (19 • 106328 + 287) / 9   6329 Nov 2020 Masaki UKAI
1114 (17 • 106328 − 269) / 9   6329 Nov 2020 Masaki UKAI
1115 (88 • 106327 − 529) / 9   6328 Nov 2020 Masaki UKAI
1116 See complete expression   6327 Apr 2013 Alfred Reich
1117 See complete expression   6327 Oct 2019 Anonymous
1118 (38 • 106325 + 583) / 9   6326 Nov 2020 Masaki UKAI
1119 106325 − 40000001   6325 Nov 2020 Masaki UKAI Near repdigit
1120 (2 • 106332 + 1) / 62525289   6325 Oct 2020 Masaki UKAI
1121 (19371937 + 19361936) / 5396953152136760478399384554086891606519029   6325 Jul 2013 Richard Dickerson Lifchitz plus-form cofactor
1122 (214 • 106323 − 7) / 9   6325 Nov 2020 Masaki UKAI
1123 See complete expression   6325 Sep 2020 Masaki UKAI Generalized repunit
1124 12 • 106323 − 7   6325 Nov 2020 Masaki UKAI
1125 8 • 106323 + 99   6324 Nov 2020 Masaki UKAI
1126 (21017 • 221018 + 1) / 141158919   6324 Sep 2020 Masaki UKAI Near Cullen cofactor
1127 4 • 106322 − 99   6323 Nov 2020 Masaki UKAI
1128 (82 • 106321 + 737) / 9   6322 Nov 2020 Masaki UKAI
1129 (695 • 106320 + 61) / 9   6322 Nov 2020 Masaki UKAI
1130 (41 • 106321 + 157) / 9   6322 Nov 2020 Masaki UKAI
1131 (106340 + 71) / 2571114751174595169   6322 Oct 2020 Masaki UKAI
1132 (86 • 106330 + 13) / 27280422873   6322 Oct 2020 Masaki UKAI
1133 (718 • 106319 − 7) / 9   6321 Nov 2020 Masaki UKAI
1134 17341951 − 19511734   6320 Nov 2020 Masaki UKAI Leyland minus-form
1135 (35 • 106321 − 17) / 1521   6320 Sep 2020 Masaki UKAI
1136 (221011 − 210506 + 1) / 2101105   6319 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 242022 + 1
1137 14731# / 11# + 117772   6319 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 324618
1138 14731# / 11# − 206846   6319 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 324618
1139 (34 • 106325 − 7) / 330746589   6319 Oct 2020 Masaki UKAI
1140 (35 • 106316 − 449) / 9   6317 Nov 2020 Masaki UKAI
1141 (25 • 106336 + 17) / 1011186629785525216233   6317 Oct 2020 Masaki UKAI
1142 (86 • 106314 − 113) / 9   6315 Nov 2020 Masaki UKAI
1143 10232098 − 20981023   6315 Nov 2020 Masaki UKAI Leyland minus-form
1144 (26 • 106315 +7) / 51   6315 Sep 2020 Masaki UKAI
1145 (315315 − 1) / (311063 − 1) / 674782775530207301190162655   6315 Nov 2020 Masaki UKAI Generalized repunit cofactor
1146 (20978 • 220977 + 1) / 68681   6315 Sep 2020 Masaki UKAI Near Cullen cofactor
1147 (106320 − 7) / 1891119   6314 Oct 2020 Masaki UKAI
1148 (3 • 106314 + 1) / 7   6314 Sep 2020 Masaki UKAI
1149 (21008 • 221007 − 1) / 356675446900911   6314 Oct 2020 Masaki UKAI Near Woodall cofactor
1150 (11 • 106320 + 61) / 46035513   6314 Oct 2020 Masaki UKAI
1151 (13 • 106313 − 121) / 9   6314 Nov 2020 Masaki UKAI
1152 (58 • 106318 + 23) / 6633981   6313 Oct 2020 Masaki UKAI
1153 (29 • 106335 + 43) / 2171896829864065427941179   6313 Oct 2020 Masaki UKAI
1154 (76 • 106311 + 77) / 9   6312 Nov 2020 Masaki UKAI
1155 (194 • 106310 − 11) / 3   6312 Nov 2020 Masaki UKAI
1156 3 • 106310 − 79   6311 Nov 2020 Masaki UKAI
1157 8 • (106310 − 59) / 3   6311 Nov 2020 Masaki UKAI
1158 (737 • 106307 − 71) / 9   6309 Nov 2020 Masaki UKAI
1159 (58 • 106313 + 41) / 1040121   6309 Oct 2020 Masaki UKAI
1160 106308 + 39   6309 Nov 2020 Masaki UKAI
1161 See complete expression   6308 Apr 2018 Edwin Hall
1162 See complete expression   6308 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 267218 + 1
1163 See complete expression   6308 Apr 2018 Edwin Hall
1164 (13 • 106307 + 473) / 9   6308 Nov 2020 Masaki UKAI
1165 3 • 106306 + 17   6307 Nov 2020 Masaki UKAI
1166 (75591627 − 1) / 7558   6307 Jan 2019 Richard Dickerson Generalized repunit
1167 (29 • 106306 + 61) / 171   6306 Sep 2020 Masaki UKAI
1168 (17 • 106323 − 53) / 66555878580551841309   6305 Oct 2020 Masaki UKAI
1169 (19 • 106303 + 161) / 9   6304 Nov 2020 Masaki UKAI
1170 See complete expression   6304 Jun 2019 Anonymous Mersenne cofactor of M(65046)
1171 (73 • 106304 − 1) / 513   6304 Sep 2020 Masaki UKAI
1172 (62 • 106309 − 71) / 66353301   6303 Sep 2020 Masaki UKAI
1173 (9 • 106316 − 7) / 196112134251283   6303 Oct 2020 Masaki UKAI
1174 (14 • 106305 + 13) / 9027   6303 Oct 2020 Masaki UKAI
1175 (19271927 + 19261926) / 54737319267339125070567643537   6302 Jul 2013 Richard Dickerson Lifchitz plus-form cofactor
1176 (17 • 106300 + 1) / 9   6301 Sep 2020 Masaki UKAI
1177 (87531601 − 1) / 156821775536   6301 Jan 2019 Richard Dickerson Generalized repunit cofactor
1178 (79 • 106301 − 43) / 603   6301 Sep 2020 Masaki UKAI
1179 (107357 + 1) / (101051 + 1) / 909091   6301 Jan 2013 Ray Chandler Generalized Wagstaff cofactor
1180 7 • 106299 − 83   6300 Nov 2020 Masaki UKAI
1181 (106300 − 1) / 9 − 101604   6300 Mar 2023 Tengfei Wang Near repunit
1182 (106300 − 73) / 9   6300 Jan 2018 Haran
1183 (88 • 106298 + 29) / 9   6299 Nov 2020 Masaki UKAI
1184 (20930 • 220929 + 1) / 14879203   6298 Oct 2020 Masaki UKAI Near Cullen cofactor
1185 (226155 + 213078 + 1) / (25231 − 22616 + 1) / 41   6298 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 252310 + 1
1186 (56 • 106310 + 61) / 407372647071447   6298 Oct 2020 Masaki UKAI
1187 (89 • 106296 − 791) / 9   6297 Nov 2020 Masaki UKAI
1188 633499 − 623499   6296 Jun 2017 Ray Chandler Generalized Mersenne
1189 (4 • 106295 + 47) / 3   6296 Nov 2020 Masaki UKAI
1190 (64 • 106305 + 53) / 981228391803   6295 Sep 2020 Masaki UKAI
1191 (106301 − 8 • 103150 − 1) / 1768531   6295 Sep 2020 Masaki UKAI
1192 (463789 + 378946) / 301411   6295 Sep 2020 Masaki UKAI Leyland plus-form cofactor
1193 (88 • 106292 − 349) / 9   6293 Nov 2020 Masaki UKAI
1194 (76 • 106292 + 311) / 9   6293 Nov 2020 Masaki UKAI
1195 (116043 − 76043) / 4   6293 Jun 2017 Ray Chandler
1196 (43 • 106289 + 173) / 9   6290 Nov 2020 Masaki UKAI
1197 6 • 106288 + 91   6289 Nov 2020 Masaki UKAI
1198 (3960 • 2102713 + 1) / 1567415245756807   6289 Oct 2020 Masaki UKAI
1199 9 • 106287 − 19   6288 Nov 2020 Masaki UKAI
1200 5 • 106287 − 27   6288 Nov 2020 Masaki UKAI
1201 (17 • 106294 + 7) / 36954201   6288 Oct 2020 Masaki UKAI
1202 (9 • 106289 − 1) / 359   6288 Sep 2020 Masaki UKAI
1203 (71 • 106286 − 773) / 9   6287 Nov 2020 Masaki UKAI
1204 (23 • 106285 − 137) / 3   6286 Nov 2020 Masaki UKAI
1205 (29 • 106289 + 7) / 446391   6285 Sep 2020 Masaki UKAI
1206 (499 • 106283 + 23) / 9   6285 Nov 2020 Masaki UKAI
1207 (74 • 106283 − 83) / 9   6284 Nov 2020 Masaki UKAI
1208 (64 • 106283 + 107) / 9   6284 Nov 2020 Masaki UKAI
1209 (733373 + 23373) / 75   6284 May 2022 Kevin Thompson
1210 (71 • 106286 + 1) / 62163   6284 Oct 2020 Masaki UKAI
1211 (39 • 220893 + 1) / 231361087   6283 Nov 2020 Masaki UKAI Proth cofactor
1212 (49 • 106281 + 221) / 9   6282 Nov 2020 Masaki UKAI
1213 (11 • 106281 − 131) / 3   6282 Nov 2020 Masaki UKAI
1214 (64 • 106287 + 53) / 19292823   6282 Sep 2020 Masaki UKAI
1215 (106289 − 34) / 505915926   6281 Sep 2020 Masaki UKAI
1216 (47 • 220872 + 1) / 50529   6281 Nov 2020 Masaki UKAI Proth cofactor
1217 (1402927 + 1392927) / 279   6280 Jun 2017 Ray Chandler
1218 See complete expression   6279 Mar 2023 Matteo D'Aniello
1219 (209 • 106277 + 61) / 9   6279 Nov 2020 Masaki UKAI
1220 (518 • 106276 − 41) / 9   6278 Nov 2020 Masaki UKAI
1221 (46 • 106277 − 73) / 9   6278 Nov 2020 Masaki UKAI
1222 (9435 • 220887 + 1) / 192405527170463   6278 Nov 2020 Masaki UKAI Proth cofactor
1223 (17 • 220856 + 1) / 297   6278 Nov 2020 Masaki UKAI Proth cofactor
1224 (65 • 106296 + 61) / 647808701923262400903   6278 Oct 2020 Masaki UKAI
1225 (595 • 106275 + 71) / 9   6277 Nov 2020 Masaki UKAI
1226 11372054 + 20541137   6277 Jul 2021 Oliver Kruse Leyland plus-form
1227 (77 • 106275 + 337) / 9   6276 Nov 2020 Masaki UKAI
1228 (13 • 106283 − 1) / 464515179   6276 Oct 2020 Masaki UKAI
1229 (106276 − 1) / 9 − 1046   6276 Feb 2023 Tengfei Wang Near repunit
1230 (74 • 106288 + 61) / 1151205248673531   6275 Oct 2020 Masaki UKAI
1231 9882095 + 2095988   6275 Sep 2012 Andrey V. Kulsha Leyland plus-form
1232 (83 • 106285 + 7) / 25117718599503   6274 Oct 2020 Masaki UKAI
1233 (68 • 106272 + 1) / 3   6274 Nov 2020 Masaki UKAI
1234 (22 • 106286 + 23) / 258860285799741   6273 Oct 2020 Masaki UKAI
1235 (43 • 106272 − 133) / 9   6273 Nov 2020 Masaki UKAI
1236 (20901 • 220901 + 1) / 340539394086849763010597   6273 Oct 2020 Masaki UKAI Cullen cofactor
1237 13342007 + 20071334   6273 Jul 2021 Oliver Kruse Leyland plus-form
1238 (85 • 106281 − 31) / 386087996709   6272 Oct 2020 Masaki UKAI
1239 (85 • 106272 + 41) / 1521   6271 Sep 2020 Masaki UKAI
1240 3 • 106270 + 29   6271 Nov 2020 Masaki UKAI
1241 (4 • 106285 + 17) / 53596859046637413   6269 Oct 2020 Masaki UKAI
1242 (14 • 106279 − 41) / 392281290819   6269 Oct 2020 Masaki UKAI
1243 (19041913 − 19131904) / 1109141   6268 Nov 2020 Masaki UKAI Leyland minus-form cofactor
1244 (22 • 106267 − 7) / 3   6268 Sep 2020 Masaki UKAI
1245 (7 • 106271 − 9 • 103135 − 7) / 12609   6268 Sep 2020 Masaki UKAI
1246 (79 • 106266 − 1) / 3   6268 Nov 2020 Masaki UKAI
1247 (88 • 106265 − 241) / 9   6266 Nov 2020 Masaki UKAI
1248 (19 • 106269 − 7) / 51531   6266 Sep 2020 Masaki UKAI
1249 (89 • 106264 − 377) / 9   6265 Nov 2020 Masaki UKAI
1250 (68 • 106289 − 23) / 341689515162735885425466867   6265 Oct 2020 Masaki UKAI
1251 See complete expression   6265 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 253746 + 1
1252 (91 • 220803 + 1) / 3   6264 Nov 2020 Masaki UKAI Proth cofactor
1253 5 • 106262 − 43   6263 Nov 2020 Masaki UKAI
1254 (43 • 106264 − 7) / 1791   6263 Sep 2020 Masaki UKAI
1255 (9 • 106265 − 1) / 3881   6263 Sep 2020 Masaki UKAI
1256 9502103 + 2103950   6263 Sep 2012 Andrey V. Kulsha Leyland plus-form
1257 (28 • 106266 + 11) / 451641   6262 Sep 2020 Masaki UKAI
1258 (11 • 220815 + 1) / 341137   6262 Nov 2020 Masaki UKAI Proth cofactor
1259 (14 • 106260 − 221) / 9   6261 Nov 2020 Masaki UKAI
1260 (44 • 106263 − 53) / 102789   6260 Oct 2020 Masaki UKAI
1261 primV(60333)   6260 Apr 2013 David Broadhurst; Bouk de Water Lucas primitive part
1262 9812092 − 2092981   6259 Nov 2020 Masaki UKAI Leyland minus-form
1263 (106259 − 292) / 12   6258 Nov 2020 Masaki UKAI
1264 (11 • 106260 + 61) / 3483   6258 Sep 2020 Masaki UKAI
1265 (13 • 106261 + 23) / 1384137   6256 Oct 2020 Masaki UKAI
1266 (14 • 106255 − 191) / 3   6256 Nov 2020 Masaki UKAI
1267 (7 • 106255 − 691) / 9   6255 Nov 2020 Masaki UKAI
1268 (56 • 106254 + 403) / 9   6255 Nov 2020 Masaki UKAI
1269 (4 • 106267 − 13) / 75871955488437   6254 Oct 2020 Masaki UKAI
1270 (773319 − 1) / 60538636   6254 May 2020 Richard Dickerson Generalized repunit cofactor
1271 (22 • 106265 − 1) / 9012339439377   6254 Sep 2020 Masaki UKAI
1272 (4 • 106253 + 11) / 3   6254 Sep 2020 Masaki UKAI
1273 (58 • 106255 + 23) / 5103   6254 Oct 2020 Masaki UKAI
1274 (31 • 106252 − 103) / 9   6253 Nov 2020 Masaki UKAI
1275 (19091909 + 19081908) / 439039871365   6252 Jul 2013 Richard Dickerson Lifchitz plus-form cofactor
1276 (67 • 106250 + 41) / 9   6251 Sep 2020 Masaki UKAI
1277 13781991 + 19911378   6251 Sep 2012 Andrey V. Kulsha Leyland plus-form
1278 (19 • 106260 − 1) / 557120885661   6250 Oct 2020 Masaki UKAI
1279 220757 − 3   6249 Feb 2023 Matteo D'Aniello Dual Williams
1280 primU(5239,1,7350)   6249 Jun 2017 Serge Batalov Fibonacci primitive part
1281 (4 • 106263 − 9) / 5836528073156947   6248 Oct 2020 Masaki UKAI
1282 3 • 106247 + 79   6248 Nov 2020 Masaki UKAI
1283 (13 • 106246 − 61) / 3   6247 Nov 2020 Masaki UKAI
1284 (313093 + 1) / 4   6247 Jun 2017 Ray Chandler Generalized Wagstaff
1285 (17 • 106247 − 53) / 117   6247 Sep 2020 Masaki UKAI
1286 (403914 + 391440) / 2032769984481541996150784   6247 Sep 2020 Masaki UKAI Leyland plus-form cofactor
1287 (11 • 106245 − 17) / 3   6246 Sep 2020 Masaki UKAI
1288 (65 • 106244 − 47) / 9   6245 Nov 2020 Masaki UKAI
1289 ⌊(π • 106281)⌋ / 5922775598388224687518158431211504334   6244 Aug 2016 Anonymous String in Pi cofactor
1290 (14 • 106248 − 23) / 798417   6244 Sep 2020 Masaki UKAI
1291 (85 • 106242 + 347) / 9   6243 Nov 2020 Masaki UKAI
1292 (28 • 106245 − 1) / 3141   6243 Sep 2020 Masaki UKAI
1293 (793 • 106241 − 1) / 9   6243 Nov 2020 Masaki UKAI
1294 (29 • 220745 + 1) / 7349   6243 Nov 2020 Masaki UKAI
1295 (64 • 106241 + 287) / 9   6242 Nov 2020 Masaki UKAI
1296 (22 • 106255 − 1) / 1676719843159371   6242 Oct 2020 Masaki UKAI
1297 See complete expression   6241 Mar 2013 Alfred Reich
1298 (316355 + 1) / (33271 + 1) / 61   6241 Sep 2020 Masaki UKAI Generalized Wagstaff cofactor
1299 5 • 106240 + 89   6241 Nov 2020 Masaki UKAI
1300 (4 • 106240 + 11) / 3   6241 Sep 2020 Masaki UKAI
1301 (76 • 106245 − 31) / 7397091   6241 Oct 2020 Masaki UKAI
1302 9 • (106437 − ) / (10157 − 1) / (1041 − 1)   6240 Jan 2012 Ray Chandler Repunit cofactor
1303 (106240 − 61) / 3   6240 Nov 2020 Masaki UKAI
1304 (17 • 106250 + 1) / 739964781387   6240 Oct 2020 Masaki UKAI
1305 (43 • 106245 − 61) / 44666559   6239 Sep 2020 Masaki UKAI
1306 (11 • 106238 − 197) / 3   6239 Nov 2020 Masaki UKAI
1307 410362 + 3   6239 Mar 2012 Frank Schickel Dual Williams
1308 (88 • 106237 + 83) / 9   6238 Nov 2020 Masaki UKAI
1309 (26 • 106236 − 11) / 3   6237 Sep 2020 Masaki UKAI
1310 (106245 − 9) / 178647523   6237 Sep 2020 Masaki UKAI
1311 (79 • 106240 − 43) / 156879   6237 Sep 2020 Masaki UKAI
1312 (11 • 106236 + 241) / 9   6237 Nov 2020 Masaki UKAI
1313 (22 • 106235 − 229) / 9   6236 Nov 2020 Masaki UKAI
1314 (13 • 106235 + 419) / 9   6236 Nov 2020 Masaki UKAI
1315 See complete expression   6235 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 248566 + 1
1316 (106264 + 3) / 967117413128374343189913775927   6235 May 2019 Alfred Reich
1317 6 • 106232 + 17   6233 Nov 2020 Masaki UKAI
1318 (106242 + 53) / 2393738091   6233 Oct 2020 Masaki UKAI
1319 (106233 − 34) / 6   6233 Sep 2020 Masaki UKAI
1320 (17 • 106231 + 7) / 3   6232 Sep 2020 Masaki UKAI
1321 (14 • 106231 + 139) / 9   6232 Nov 2020 Masaki UKAI
1322 (19 • 106236 + 11) / 4730817   6231 Oct 2020 Masaki UKAI
1323 2 • 106230 − 63   6231 Nov 2020 Masaki UKAI
1324 (203 • 106228 + 1) / 3   6230 Nov 2020 Masaki UKAI
1325 (144111499 − 1) / 14410   6230 Oct 2022 Richard Dickerson Generalized repunit
1326 (3 • 106230 + 1) / 7   6230 Sep 2020 Masaki UKAI
1327 M(20887) / 118421949251433453827857391594130772157699369945439163022281   6229 Aug 2009 David Broadhurst Mersenne cofactor
1328 (38 • 106227 + 637) / 9   6228 Nov 2020 Masaki UKAI
1329 See complete expression   6225 Jun 2019 Anonymous Cofactor of 222672 + 1
1330 (44 • 106236 − 17) / 63035656767189   6224 Oct 2020 Masaki UKAI
1331 (32 • 106232 + 13) / 5218973469   6224 Sep 2020 Masaki UKAI
1332 (106233 + 45 • 103116 − 1) / 1773608301   6224 Oct 2020 Masaki UKAI
1333 (166 • 106222 − 7) / 3   6224 Nov 2020 Masaki UKAI
1334 (14 • 106223 − 149) / 9   6224 Nov 2020 Masaki UKAI
1335 5612052289 • 14500# / 5 + 5   6223 Jan 2008 Norman Luhn Part of a prime triplet
  First Primo (3.0.4) multicore certificate
1336 135586 − 18   6223 Jul 2026 Richard Dickerson
    new  
1337 (47 • 106233 − 11) / 1687376618739   6223 Oct 2020 Masaki UKAI
1338 (64 • 106233 + 71) / 3382066611873   6223 Sep 2020 Masaki UKAI
1339 8 • 106221 + 27   6222 Nov 2020 Masaki UKAI
1340 (2372621 − 1) / 236   6222 May 2020 Richard Dickerson Generalized repunit
1341 5 • 106221 + 11   6222 Nov 2020 Masaki UKAI
1342 (38651779821 − 1) / 38651778   6222 Oct 2022 Richard Dickerson Generalized repunit
1343 8 • 106219 + 3   6220 Sep 2020 Masaki UKAI
1344 (43 • 106231 − 61) / 16363332999351   6220 Oct 2020 Masaki UKAI
1345 3132492 − 2492313   6219 Nov 2020 Masaki UKAI Leyland minus-form
1346 5372278 + 2278537   6219 Jan 2013 Youcef Lemsafer Leyland plus-form
1347 (19 • 106217 − 7) / 3   6218 Sep 2020 Masaki UKAI
1348 (67 • 106228 − 13) / 2201825528631   6218 Oct 2020 Masaki UKAI
1349 (17 • 106216 + 7) / 3   6217 Sep 2020 Masaki UKAI
1350 (49 • 106216 − 31) / 9   6217 Sep 2020 Masaki UKAI
1351 (68 • 106214 + 7) / 3   6216 Nov 2020 Masaki UKAI
1352 9 • 106214 + 91   6215 Nov 2020 Masaki UKAI
1353 (185 • 106213 − 17) / 3   6215 Nov 2020 Masaki UKAI
1354 (73 • 106219 + 71) / 1216143   6215 Oct 2020 Masaki UKAI
1355 (22 • 106217 − 1) / 3723   6215 Sep 2020 Masaki UKAI
1356 (43 • 220641 + 1) / 3   6215 Nov 2020 Masaki UKAI
1357 (79 • 106224* −61) / 11169054860301   6213 Oct 2020 Masaki UKAI
1358 (61 • 220636 + 1) / 77   6212 Nov 2020 Masaki UKAI
1359 (49 • 106211 − 337) / 9   6212 Nov 2020 Masaki UKAI
1360 106211 + 73   6212 Nov 2020 Masaki UKAI
1361 (85 • 106214 + 23) / 155583   6211 Oct 2020 Masaki UKAI
1362 (4 • 106227 − 31) / 79507865238285681   6211 Oct 2020 Masaki UKAI
1363 See complete expression   6210 Apr 2013 Alfred Reich
1364 (106210 − 1) / 9 − 1040   6210 Apr 2023 Tengfei Wang Near repunit
1365 (49 • 106221 − 13) / 71648314437771   6209 Oct 2020 Masaki UKAI
1366 (20621 • 220620 − 1) / 1165   6209 Sep 2020 Masaki UKAI Near Woodall cofactor
1367 (79 • 106216 + 11) / 12366249633   6208 Oct 2020 Masaki UKAI
1368 (56 • 106217 + 43) / 436473829629   6208 Sep 2020 Masaki UKAI
1369 See complete expression   6208 Mar 2013 Alfred Reich Repunit cofactor
1370 (106215 − 244) / 230843988   6207 Sep 2020 Masaki UKAI
1371 See complete expression   6206 Dec 2020 Metin Sariyar Smallest prime formed from composite
  digits of Pi in order of appearence
1372 (35 • 106212 − 71) / 238167081   6206 Oct 2020 Masaki UKAI
1373 See complete expression   6204 May 2012 Anonymous Generalized repunit
1374 (19 • 106207 + 737) / 201447   6203 Jun 2024 Alfred Reich
1375 (1744 • 106199 − 1747) / 3   6202 Nov 2020 Masaki UKAI
1376 (106223 + 3) / 64864921317031957898153   6201 May 2019 Alfred Reich
1377 (67 • 106212 + 41) / 514479320537679   6200 Oct 2020 Masaki UKAI
1378 (59 • 106206 − 41) / 552190527   6200 Oct 2020 Masaki UKAI
1379 (109 • 106197 + 11) / 3   6199 Nov 2020 Masaki UKAI
1380 (61 • 106197 − 421) / 9   6198 Nov 2020 Masaki UKAI
1381 (49 • 106197 + 221) / 9   6198 Nov 2020 Masaki UKAI
1382 106197 + 31   6198 Nov 2020 Masaki UKAI
1383 (518 • 106195 − 23) / 9   6197 Nov 2020 Masaki UKAI
1384 (49 • 106196 − 319) / 9   6197 Nov 2020 Masaki UKAI
1385 (55 • 106210 + 17) / 2030926213230669   6197 Nov 2020 Masaki UKAI
1386 See complete expression   6196 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 285410 + 1
1387 823237 + 323782   6196 Oct 2012 Youcef Lemsafer Leyland plus-form
1388 (153 • 220571 + 1) / 35   6194 Nov 2020 Masaki UKAI
1389 (106194 + 83) / 3   6194 Nov 2020 Masaki UKAI
1390 (106212 + 53) / 10776712640597347797   6193 Oct 2020 Masaki UKAI
1391 (29 • 106190 + 19) / 3   6191 Nov 2020 Masaki UKAI
1392 (23 • 106189 − 53) / 3   6190 Nov 2020 Masaki UKAI
1393 See complete expression   6190 Sep 2020 Masaki UKAI
1394 (20602 • 220603 − 1) / 66791240226218485   6190 Oct 2020 Masaki UKAI Near Woodall cofactor
1395 (37 • 106199 + 71) / 220118975181   6190 Sep 2020 Masaki UKAI
1396 8 • 106188 − 13   6189 Nov 2020 Masaki UKAI
1397 (19 • 106188 + 131) / 3   6189 Nov 2020 Masaki UKAI
1398 3 • 106188 − 59   6189 Nov 2020 Masaki UKAI
1399 (77 • 106193 − 41) / 3771927   6189 Sep 2020 Masaki UKAI
1400 11062033 − 20331106   6188 Nov 2020 Masaki UKAI Leyland minus-form
1401 (35 • 106187 − 197) / 9   6188 Nov 2020 Masaki UKAI
1402 (86 • 106187 + 319) / 9   6188 Nov 2020 Masaki UKAI
1403 (106190 + 14) / 77514   6186 Sep 2020 Masaki UKAI
1404 (4 • 106185 + 149) / 9   6185 Nov 2020 Masaki UKAI
1405 (178 • 106183 − 7) / 9   6185 Nov 2020 Masaki UKAI
1406 (2 • 106196 + 3) / 18354310446079   6184 Sep 2020 Masaki UKAI
1407 (8 • 106182 − 377) / 9   6182 Nov 2020 Masaki UKAI
1408 (7 • 106186 + 3) / 100351   6182 Sep 2020 Masaki UKAI
1409 (37 • 106183 − 1) / 4959   6181 Sep 2020 Masaki UKAI
1410 (34 • 106183 − 61) / 22059   6181 Oct 2020 Masaki UKAI
1411 (56 • 106193 + 43) / 1002142323814347   6180 Oct 2020 Masaki UKAI
1412 (32 • 106179 + 157) / 9   6180 Nov 2020 Masaki UKAI
1413 (25 • 106191 + 11) / 23803589997801   6180 Oct 2020 Masaki UKAI
1414 (44 • 106178 − 719) / 9   6179 Nov 2020 Masaki UKAI
1415 (7 • 106189 − 27 • 103094 − 7) / 177012786051   6179 Oct 2020 Masaki UKAI
1416 (17 • 220531 + 1) / 2627   6179 Nov 2020 Masaki UKAI
1417 (755 • 106176 − 17) / 9   6178 Nov 2020 Masaki UKAI
1418 (43 • 106177 + 191) / 9   6178 Nov 2020 Masaki UKAI
1419 See complete expression   6178 Jun 2019 Anonymous Mersenne cofactor of M(27797)
1420 (2450! / 2450#) − 1) / 1570913260852841563681   6178 Oct 2020 Masaki UKAI
1421 (106177 − 103088 − 1) / 3   6177 Sep 2020 Masaki UKAI Near repdigit
1422 (189 • 220520 + 1) / 2185   6177 Nov 2020 Masaki UKAI
1423 (85 • 106190 + 23) / 65718663467675499   6176 Oct 2020 Masaki UKAI
1424 (16 • 106174 + 197) / 3   6175 Nov 2020 Masaki UKAI
1425 (20523 • 220524 + 1) / 169975627   6175 Oct 2020 Masaki UKAI Near Cullen cofactor
1426 Φ(7745,10) / 3903193020638579197801   6175 Sep 2014 Maksym Voznyy Repunit cofactor
1427 (106183 + 17) / 505833129   6175 Sep 2020 Masaki UKAI
1428 (19 • 106176 + 431) / 2331   6174 Jun 2024 Alfred Reich
1429 (299 • 106171 − 11) / 9   6173 Nov 2020 Masaki UKAI
1430 17571902 + 19021757   6172 May 2010 Andrey V. Kulsha Leyland plus-form
1431 (20575 • 220575 + 1) / 323522931032013163369411347   6172 Oct 2020 Masaki UKAI Cullen cofactor
1432 (20560 • 220559 − 1) / 12705769344449958893291   6172 Oct 2020 Masaki UKAI Near Woodall cofactor
1433 (7 • 106171 − 43) / 261   6170 Sep 2020 Masaki UKAI
1434 primA(118275)   6170 Mar 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
1435 (106170 − 1) / 9 − 1063   6170 Apr 2023 Tengfei Wang Near repunit
1436 (44 • 106169 + 1) / 63   6169 Sep 2020 Masaki UKAI
1437 (17 • 106168 + 7) / 3   6169 Sep 2020 Masaki UKAI
1438 214665 + 20   6169 Nov 2020 Masaki UKAI Dual Williams
1439 (17 • 220491 + 1) / 49   6168 Nov 2020 Masaki UKAI
1440 6 • 106167 − 53   6168 Nov 2020 Masaki UKAI
1441 (203 • 106166 + 13) / 9   6168 Nov 2020 Masaki UKAI
1442 (283 • 106165 − 1) / 3   6167 Nov 2020 Masaki UKAI
1443 (83 • 106180 − 11) / 1033249926242997   6167 Oct 2020 Masaki UKAI
1444 (44 • 106167 − 71) / 333   6167 Sep 2020 Masaki UKAI
1445 (29 • 106164 + 67) / 3   6165 Nov 2020 Masaki UKAI
1446 (64 • 106165 + 71) / 189   6165 Oct 2020 Masaki UKAI
1447 (71 • 106171 + 1) / 471044763   6165 Oct 2020 Masaki UKAI
1448 14761945 − 19451476   6164 Nov 2020 Masaki UKAI Leyland minus-form
1449 (83 • 106162 + 43) / 63   6163 Sep 2020 Masaki UKAI
1450 (106165 + 45) / 935   6163 Sep 2020 Masaki UKAI
1451 (61 • 106161 − 178) / 18   6162 Apr 2015 Anonymous
1452 (205 • 106160 − 61) / 9   6162 Nov 2020 Masaki UKAI
1453 (106163 − 865) / 45   6162 Nov 2020 Masaki UKAI
1454 See complete expression   6161 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 265094 + 1
1455 (76 • 106164 + 23) / 241857   6161 Oct 2020 Masaki UKAI
1456 (62 • 106159 + 91) / 9   6160 Nov 2020 Masaki UKAI
1457 106159 − 107 − 1   6159 Oct 2020 Masaki UKAI Near repdigit
1458 (53 • 106164 − 71) / 129172743   6158 Oct 2020 Masaki UKAI
1459 (221127 + 1) / (2571 + 1) / 11560208901425446018211784037729   6157 Jun 2019 Anonymous Wagstaff cofactor
1460 (16 • 106156 − 91) / 3   6157 Nov 2020 Masaki UKAI
1461 (7 • 106156 + 23) / 3   6157 Nov 2020 Masaki UKAI
1462 (79 • 106158 + 11) / 5373   6157 Oct 2020 Masaki UKAI
1463 (11 • 106156 + 547) / 9   6157 Nov 2020 Masaki UKAI
1464 (56 • 106155 + 241) / 9   6156 Nov 2020 Masaki UKAI
1465 (62 • 106155 − 71) / 81   6155 Sep 2020 Masaki UKAI
1466 (56 • 106154 + 367) / 9   6155 Nov 2020 Masaki UKAI
1467 (106166 − 3) / 217965571993   6155 Sep 2020 Masaki UKAI
1468 (20504 • 220505 + 1) / 24011202099183516464089   6155 Oct 2020 Masaki UKAI Near Cullen cofactor
1469 (16 • 106163 + 11) / 8012592909   6155 Sep 2020 Masaki UKAI
1470 lucas(29476) / 2888641   6154 Oct 2020 Masaki UKAI Lucas cofactor
1471 184902 − 17   6154 Nov 2020 Masaki UKAI Dual Williams
1472 (26 • 106158 + 7) / 112337247   6152 Sep 2020 Masaki UKAI
1473 (31 • 106162 + 23) / 1857151349181   6152 Oct 2020 Masaki UKAI
1474 (49 • 106170 − 13) / 356301451013555305989   6152 Oct 2020 Masaki UKAI
1475 (34 • 106161 − 61) / 389553326181   6151 Oct 2020 Masaki UKAI
1476 (67 • 106150 − 31) / 9   6151 Sep 2020 Masaki UKAI
1477 (34 • 106157 − 43) / 661915287   6150 Sep 2020 Masaki UKAI
1478 (20424 • 220423 − 1) / 1433   6150 Sep 2020 Masaki UKAI Near Woodall cofactor
1479 (61 • 106147 + 11) / 9   6148 Sep 2020 Masaki UKAI
1480 (19 • 106151 + 467) / 72207   6148 Jun 2024 Alfred Reich
1481 (20430 • 220429 + 1) / 24074191   6147 Oct 2020 Masaki UKAI Near Cullen cofactor
1482 (709 • 106144 + 11) / 9   6146 Nov 2020 Masaki UKAI
1483 373919 − 363919   6146 Jun 2017 Ray Chandler Generalized Mersenne
1484 (41 • 106145 − 149) / 9   6146 Nov 2020 Masaki UKAI
1485 9 • 106144 + 67   6145 Nov 2020 Masaki UKAI
1486 (4 • 106151 + 7) / 6419681   6145 Oct 2020 Masaki UKAI
1487 (83 • 106142 − 29) / 9   6143 Nov 2020 Masaki UKAI
1488 8022115 + 2115802   6143 Jul 2021 Oliver Kruse Leyland plus-form
1489 (106147 − 4 • 103073 − 1) / 108367   6142 Sep 2020 Masaki UKAI
1490 (22 • 106141 + 179) / 3   6142 Nov 2020 Masaki UKAI
1491 (62 • 106141 − 773) / 9   6142 Nov 2020 Masaki UKAI
1492 Fib(44139) / Fib(14713) / 144952474   6142 Mar 2017 Jonathan A. Zylstra Fibonacci cofactor
1493 (106142 + 182) / 6   6142 Oct 2020 Masaki UKAI
1494 (106149 − 172) / 224446284   6141 Oct 2020 Masaki UKAI
1495 (29 • 106139 + 79) / 9   6140 Nov 2020 Masaki UKAI
1496 primV(35483)   6140 Mar 2013 David Broadhurst; Bouk de Water Lucas primitive part
1497 (14 • 106141 + 13) / 39771   6138 Oct 2020 Masaki UKAI
1498 (23 • 106140 + 31) / 240093   6136 Oct 2020 Masaki UKAI
1499 (586 • 106134 − 1) / 9   6136 Nov 2020 Masaki UKAI
1500 (101 • 106133 + 1) / 3   6135 Nov 2020 Masaki UKAI
1501 3 • 106134 + 73   6135 Nov 2020 Masaki UKAI
1502 (38 • 106134 + 43) / 63   6134 Sep 2020 Masaki UKAI
1503 (4 • 106139 − 9) / 978283   6134 Sep 2020 Masaki UKAI
1504 1992668 + 2668199   6134 Oct 2012 Youcef Lemsafer Leyland plus-form
1505 (106133 − 202) / 6   6133 Nov 2020 Masaki UKAI
1506 (46 • 106131 + 269) / 9   6132 Nov 2020 Masaki UKAI
1507 (28 • 106145 + 71) / 3316445128749519   6131 Oct 2020 Masaki UKAI
1508 9212068 − 2068921   6131 Nov 2020 Masaki UKAI Leyland minus-form
1509 5 • 106128 + 77   6129 Nov 2020 Masaki UKAI
1510 (19 • 106141 + 71) / 205595673307011   6128 Oct 2020 Masaki UKAI
1511 (32 • 106142 + 13) / 5345763796755999   6128 Oct 2020 Masaki UKAI
1512 (77 • 106126 + 229) / 9   6127 Nov 2020 Masaki UKAI
1513 (13 • 106136 − 7) / 36687610119   6127 Oct 2020 Masaki UKAI
1514 1972670 − 2670197   6127 Mar 2023 Tengfei Wang Leyland minus-form
1515 (83 • 106125 + 673) / 9   6126 Nov 2020 Masaki UKAI
1516 (4 • 106133 + 7) / 46878697   6126 Sep 2020 Masaki UKAI
1517 (52 • 106125 − 331) / 9   6126 Nov 2020 Masaki UKAI
1518 (403829 + 382940) / 406651571   6126 Oct 2020 Masaki UKAI Leyland plus-form cofactor
1519 Φ(7337,10) / 273287484696172037653382515011257293   6125 Aug 2023 Alfred Reich Cyclotomic polynomial cofactor
  of R(7337)
1520 (19 • 106142 − 7) / 4912459205777694201   6125 Oct 2020 Masaki UKAI
1521 (43 • 220349 + 1) / 2091   6124 Nov 2020 Masaki UKAI
1522 M(20521) / 608119009370976921889134572555529165644264883363881113   6124 Oct 2017 Paul Underwood Mersenne cofactor
1523 (34 • 106122 − 421) / 9   6123 Nov 2020 Masaki UKAI
1524 See complete expression   6123 Apr 2013 Alfred Reich Cyclotomic polynomial cofactor
  of 1010752 + 1
1525 (4 • 106127 + 1) / 1017691   6122 Oct 2020 Masaki UKAI
1526 (74 • 106122 + 7) / 261   6122 Sep 2020 Masaki UKAI
1527 (111 • 103062 + 106126 + 1) / 1011101   6120 Sep 2020 Masaki UKAI
1528 p(30248445)   6119 Feb 2011 Bernardo Boncompagni Partitions
1529 (295 • 106117 − 7) / 9   6119 Nov 2020 Masaki UKAI
1530 (38 • 106126 + 61) / 1305673281   6119 Oct 2020 Masaki UKAI
1531 p(30245335)   6119 Feb 2011 Bernardo Boncompagni Partitions
1532 p(30244992)   6119 Feb 2011 Bernardo Boncompagni Partitions
1533 (20338 • 220338 − 1) / 701702751   6118 Sep 2020 Masaki UKAI Woodall cofactor
1534 (37 • 106126 − 1) / 15070657779   6118 Oct 2020 Masaki UKAI
1535 (1273 • 220354 + 1) / 181482015990731   6117 Nov 2020 Masaki UKAI
1536 (73 • 106120 + 17) / 763551   6116 Oct 2020 Masaki UKAI
1537 (44 • 106125 − 71) / 57018679911   6116 Oct 2020 Masaki UKAI
1538 20730011943 • 14221# + 344243   6116 Aug 2019 Gerd Lamprecht Part of sexy prime triple
1539 20730011943 • 14221# + 344237   6116 Aug 2019 Gerd Lamprecht Part of sexy prime triple
1540 20730011943 • 14221# + 344231   6116 Aug 2019 Gerd Lamprecht Part of sexy prime triple
1541 (76 • 106114 − 283) / 9   6115 Nov 2020 Masaki UKAI
1542 (41 • 106118 + 31) / 283293   6115 Sep 2020 Masaki UKAI
1543 751 • 58743 + 2   6114 Jul 2026 Jason Yuen
    new  
1544 (18641871 − 18711864) / 125991   6114 Nov 2020 Masaki UKAI Leyland minus-form cofactor
1545 (6 • 106124 + 7) / 104697785063   6114 Oct 2020 Masaki UKAI
1546 (44 • 106113 − 557) / 9   6114 Nov 2020 Masaki UKAI
1547 7 • 106112 − 53   6113 Nov 2020 Masaki UKAI
1548 p(30191251)   6113 Feb 2011 Bernardo Boncompagni Partitions
1549 (35 • 106112 − 71) / 9   6113 Sep 2020 Masaki UKAI
1550 (71 • 106121 + 1) / 18553121721   6113 Sep 2020 Masaki UKAI
1551 (195 • 220307 + 1) / 1127   6113 Nov 2020 Masaki UKAI
1552 15541915 + 19151554   6112 May 2010 Andrey V. Kulsha Leyland plus-form
1553 (77 • 106110 − 401) / 9   6111 Nov 2020 Masaki UKAI
1554 13961943 + 19431396   6111 May 2010 Andrey V. Kulsha Leyland plus-form
1555 (58 • 106118 + 23) / 2645374257   6111 Oxt 2020 Masaki UKAI
1556 (82 • 106115 + 17) / 4494393   6111 Sep 2020 Masaki UKAI
1557 (20310 • 220310 + 1) / 117107153   6111 Oct 2020 Masaki UKAI
1558 92 • 106108 − 7   6110 Nov 2020 Masaki UKAI
1559 (185 • 106108 + 7) / 3   6110 Nov 2020 Masaki UKAI
1560 (2 • 106117 − 7) / 43962041   6110 Sep 2020 Masaki UKAI
1561 14249# / 13# + 221394   6110 Nov 2013 Dana Jacobsen Part of proven prime gap;d = 296318
1562 14249# / 13# − 74924   6110 Nov 2013 Dana Jacobsen Part of proven prime gap;d = 296318
1563 (37 • 106130 + 71) / 20359945940017801019643   6110 Oct 2020 Masaki UKAI
1564 (79 • 106121 + 11) / 48190068663903   6110 Sep 2020 Masaki UKAI
1565 p(30147428)   6109 Feb 2011 Bernardo Boncompagni Partitions
1566 (220464 + 1) / 9627536066166717125670988878111459105486883131074689   6109 Jun 2019 Anonymous
1567 (11 • 106108 + 511) / 9   6109 Nov 2020 Masaki UKAI
1568 (82 • 106107 + 341) / 9   6108 Nov 2020 Masaki UKAI
1569 (43 • 220292 + 1) / 193   6108 Nov 2020 Masaki UKAI
1570 (11 • 106107 − 131) / 3   6108 Nov 2020 Masaki UKAI
1571 (106108 − 238) / 6   6108 Nov 2020 Masaki UKAI
1572 (9 • 106115 − 1) / 622836209   6108 Sep 2020 Masaki UKAI
1573 (6 • 106108 − 1) / 139   6107 Sep 2020 Masaki UKAI
1574 (19 • 106114 + 359) / 962277813   6107 Jun 2024 Alfred Reich
1575 (7 • 106106 + 137) / 9   6106 Nov 2020 Masaki UKAI
1576 p(30117142)   6106 Feb 2011 Bernardo Boncompagni Partitions
1577 (22 • 106114 + 23) / 44688277143   6105 Oct 2020 Masaki UKAI
1578 (19 • 106118 + 521) / 16860721205984553   6104 Jun 2024 Alfred Reich
1579 (28 • 106124 + 53) / 31273903207342848673053   6103 Oct 2020 Masaki UKAI
1580 (418 • 106101 − 13) / 9   6103 Nov 2020 Masaki UKAI
1581 p(30086830)   6103 Feb 2011 Bernardo Boncompagni Partitions
1582 (225495 + 1) / (25099 + 1) / 93723388146978051031527687870710349131   6102 Jun 2019 Anonymous Wagstaff cofactor
1583 (79 • 106107 + 11) / 107496963   6101 Oct 2020 Masaki UKAI
1584 (19 • 106111 − 91) / 507446180901   6101 Dec 2022 Alfred Reich
1585 (106101 − 1) / 9 − 103433   6101 Jan 2023 Youcef Lemsafer Near repunit
1586 (41 • 106111 + 13) / 9420350350761   6100 Oct 2020 Masaki UKAI
1587 (23 • 106109 + 13) / 111466041273   6100 Oct 2019 Nathan Pakaran
1588 p(30054586)   6099 Apr 2011 Bernardo Boncompagni Partitions
1589 (41 • 106104 + 31) / 11410551   6099 Oct 2020 Masaki UKAI
1590 primV(43773)   6099 Mar 2013 David Broadhurst; Bouk de Water Lucas primitive part
1591 (3532402 + 1) / 6701332315160576231290   6098 Oct 2020 Masaki UKAI
1592 (74 • 106097 + 511) / 9   6098 Nov 2020 Masaki UKAI
1593 (106102 − 5) / 15305   6098 Sep 2020 Masaki UKAI
1594 (67 • 106121 + 41) / 14174406865392622934733027   6098 Oct 2020 Masaki UKAI
1595 (106120 + 3) / 24373937407515233467123   6098 May 2019 Alfred Reich
1596 115855 − 10   6098 Nov 2020 Masaki UKAI Dual Williams
1597 p(30037918)   6098 Jul 2012 Bernardo Boncompagni Partitions
1598 (4 • 106097 + 17) / 3   6098 Sep 2020 Masaki UKAI
1599 (16 • 106099 + 11) / 11259   6097 Oct 2020 Masaki UKAI
1600 14197# / 210 + 226378   6095 Nov 2013 Dana Jacobsen Part of proven prime gap;d = 303276
1601 14197# / 210 − 76898   6095 Nov 2013 Dana Jacobsen Part of proven prime gap;d = 303276
1602 (14 • 106094 + 73) / 3   6095 Nov 2020 Masaki UKAI
1603 (4 • 106097 − 3) / 5513   6094 Oct 2020 Masaki UKAI
1604 (26 • 106104 − 53) / 6361920764037   6093 Oct 2020 Masaki UKAI
1605 (11 • 106092 + 133) / 9   6093 Nov 2020 Masaki UKAI
1606 (83 • 106098 + 43) / 92105127   6092 Oct 2020 Masaki UKAI
1607 (74 • 106091 − 191) / 9   6092 Nov 2020 Masaki UKAI
1608 (82 • 106106 + 17) / 40687586423338437   6092 Sep 2020 Masaki UKAI
1609 913109 − 903109   6091 Jun 2017 Ray Chandler Generalized Mersenne
1610 (38 • 106108 − 11) / 30686189446590803523   6091 Oct 2020 Masaki UKAI
1611 (46 • 106089 + 737) / 9   6090 Nov 2020 Masaki UKAI
1612 See complete expression   6089 Jun 2019 Anonymous Mersenne cofactor
1613 (19 • 106122 − 73) / 85457773113744374914461702090249537   6089 Jun 2024 Alfred Reich
1614 (32 • 106090 − 41) / 5823   6088 Sep 2020 Masaki UKAI
1615 (34 • 106088 − 7) / 333   6088 Sep 2020 Masaki UKAI
1616 (29 • 106100 + 61) / 1075667585180247   6087 Oct 2020 Masaki UKAI
1617 (6713 • 220249 + 1) / 10099088985803   6087 Nov 2020 Masaki UKAI
1618 (4 • 106095 − 13) / 2754985653   6087 Sep 2020 Masaki UKAI
1619 (4 • 106086 + 191) / 3   6087 Nov 2020 Masaki UKAI
1620 (7 • 106088 + 3) / 541   6087 Sep 2020 Masaki UKAI
1621 (49 • 106085 + 41) / 9   6086 Sep 2020 Masaki UKAI
1622 (8 • 106102 − 71) / 253637988730466319   6086 Oct 2020 Masaki UKAI
1623 (85 • 106097 + 41) / 60359111344719   6086 Sep 2020 Masaki UKAI
1624 1362852 + 17136 + 285217   6085 Feb 2023 Tengfei Wang
1625 6 • 106084 + 41   6085 Nov 2020 Masaki UKAI
1626 (547 • 106082 − 7) / 9   6084 Nov 2020 Masaki UKAI
1627 (38 • 106083 + 421) / 9   6084 Nov 2020 Masaki UKAI
1628 (2 • 106083 − 41) / 3   6083 Nov 2020 Masaki UKAI
1629 (lucas(29102) − 1) / 2   6082 Nov 2020 Masaki UKAI
1630 (14 • 106088 − 11) / 1211894349   6081 Sep 2020 Masaki UKAI
1631 (79 • 106079 + 11) / 9   6080 Sep 2020 Masaki UKAI
1632 (312743 + 1) / 4   6080 Jun 2017 Ray Chandler Generalized Wagstaff
1633 (13 • 106090 + 41) / 801013529871   6080 Oct 2020 Masaki UKAI
1634 (73 • 106081 − 1) / 5283   6080 Sep 2020 Masaki UKAI
1635 5 • 106078 − 81   6079 Nov 2020 Masaki UKAI
1636 8 • 106077 + 71   6078 Nov 2020 Masaki UKAI
1637 (7 • 106081 + 18 • 103040 − 7) / 17937   6078 Sep 2020 Masaki UKAI
1638 (35 • 106077 − 359) / 9   6078 Nov 2020 Masaki UKAI
1639 (106082 − 7) / 35337   6078 Sep 2020 Masaki UKAI
1640 (8 • 106089 + 9) / 5603410776481   6078 Oct 2020 Masaki UKAI
1641 (56 • 106088 + 61) / 4427619439401   6078 Oct 2020 Masaki UKAI
1642 106074 − 109 − 1   6074 Feb 2023 Tengfei Wang Near repdigit
1643 11001997 − 10991997   6074 Feb 2023 Tengfei Wang Generalized Mersenne
1644 (19 • 106073 + 179) / 9   6074 Nov 2020 Masaki UKAI
1645 89 • 106071 − 7   6073 Nov 2020 Masaki UKAI
1646 (115839 + 1) / 58436724   6073 Sep 2020 Masaki UKAI Generalized Wagstaff cofactor
1647 (64 • 106072 − 19) / 9   6073 Nov 2020 Masaki UKAI
1648 (13 • 106072 − 7) / 3   6073 Sep 2020 Masaki UKAI
1649 (88 • 106069 − 43) / 9   6070 Sep 2020 Masaki UKAI
1650 See complete expression   6070 Apr 2018 Edwin Hall
1651 (59 • 106069 − 311) / 9   6070 Nov 2020 Masaki UKAI
1652 (157 • 106068 − 1) / 3   6070 Nov 2020 Masaki UKAI
1653 (44 • 106069 − 629) / 9   6070 Nov 2020 Masaki UKAI
1654 (68 • 106068 + 157) / 9   6069 Nov 2020 Masaki UKAI
1655 (65 • 106071 + 7) / 15471   6069 Oct 2020 Masaki UKAI
1656 (29 • 106090 + 43) / 80155770486953163193431   6069 Oct 2020 Masaki UKAI
1657 (203 • 106067 − 23) / 9   6069 Nov 2020 Masaki UKAI
1658 (79 • 106088 − 43) / 97623437864585101366779   6067 Oct 2020 Masaki UKAI
1659 (29 • 106065 − 107) / 3   6066 Nov 2020 Masaki UKAI
1660 (106083 + 3) / 103928860125455317   6066 Sep 2020 Masaki UKAI
1661 (2 • 106067 + 7) / 27   6066 Sep 2020 Masaki UKAI
1662 (9 • 106079 − 1) / 123766628434987   6066 Sep 2020 Masaki UKAI
1663 (106074 − 46) / 197629686   6066 Sep 2020 Masaki UKAI
1664 (28 • 106075 − 1) / 2469487909023   6065 Oct 2020 Masaki UKAI
1665 (182 • 106062 + 1) / 3   6064 Nov 2020 Masaki UKAI
1666 See complete expression   6064 Jun 2019 Anonymous Wagstaff cofactor
1667 (35 • 106063 − 107) / 9   6064 Nov 2020 Masaki UKAI
1668 (8 • 106069 − 11) / 2424327   6064 Sep 2020 Masaki UKAI
1669 (663376 + 337666) / 2264   6064 Sep 2020 Masaki UKAI Leyland plus-form cofactor
1670 M(20591) / M(349) / M(59) / 4797979248857   6064 Apr 2019 Will Edgington Mersenne cofactor
1671 See complete expression   6063 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 242274 + 1
1672 (220201 + 1) / 12726155157218710881   6063 Sep 2018 Anand S Nair Generalized Wagstaff cofactor
1673 (245 • 106060 + 43) / 9   6062 Nov 2020 Masaki UKAI
1674 (58 • 106068 + 41) / 4844955753   6061 Oct 2020 Masaki UKAI
1675 106060 + 13941   6061 Dec 2025 Anonymous
1676 (418 • 106058 + 23) / 9   6060 Nov 2020 Masaki UKAI
1677 (59 • 106065 + 31) / 16535889   6060 Sep 2020 Masaki UKAI
1678 (74 • 106065 − 11) / 114094161   6059 Sep 2020 Masaki UKAI
1679 (106065 − 35) / 6701455   6059 Sep 2020 Masaki UKAI
1680 (106065 − 7 • 103032 − 1) / 34502761   6058 Sep 2020 Masaki UKAI
1681 (14 • 106056 − 419) / 9   6057 Nov 2020 Masaki UKAI
1682 (8 • 106056 − 53) / 9   6056 Sep 2020 Masaki UKAI
1683 (73 • 220136 + 1) / 210981227   6056 Nov 2020 Masaki UKAI
1684 (701 • 106053 + 1) / 9   6055 Nov 2020 Masaki UKAI
1685 (41 • 106054 + 373) / 9   6055 Nov 2020 Masaki UKAI
1686 2182589 + 2589218   6055 Jul 2021 Anonymous Leyland plus-form
1687 (82 • 106053 + 233) / 9   6054 Nov 2020 Masaki UKAI
1688 (111 • 220130 + 1) / 69737815   6054 Nov 2020 Masaki UKAI
1689 6 • 106053 + 11   6054 Nov 2020 Masaki UKAI
1690 (13 • 106066 + 23) / 25608057902019   6054 Oct 2020 Masaki UKAI
1691 (14 • 106053 − 191) / 3   6054 Nov 2020 Masaki UKAI
1692 6442155 − 2155644   6054 Nov 2020 Masaki UKAI Leyland minus-form
1693 (20128 • 220129 − 1) / 50522625665   6054 Oct 2020 Masaki UKAI Near Woodall cofactor
1694 9682027 − 2027968   6053 Nov 2020 Masaki UKAI Leyland minus-form
1695 (26 • 106053 − 11) / 147   6053 Oct 2020 Masaki UKAI
1696 (4 • 106053 + 7) / 703   6051 Oct 2020 Masaki UKAI
1697 (410071 + 3) / 17930222248591   6051 Nov 2020 Masaki UKAI Dual Williams cofactor
1698 (28 • 106062 + 17) / 61955368708437   6050 Sep 2020 Masaki UKAI
1699 (55 • 106048 + 503) / 9   6049 Nov 2020 Masaki UKAI
1700 (13 • 106048 + 83) / 3   6049 Nov 2020 Masaki UKAI
1701 13461933 − 19331346   6049 Nov 2020 Masaki UKAI Leyland minus-form
1702 106048 − 93   6048 Nov 2020 Masaki UKAI
1703 (4 • 106059 + 41) / 1151767494567   6048 Oct 2020 Masaki UKAI
1704 (106048 − 745) / 15   6047 Nov 2020 Masaki UKAI
1705 (4 • 106058 + 11) / 715192826241   6047 Oct 2020 Masaki UKAI
1706 (15 • 220114 + 1) / 68251302467   6046 Nov 2020 Masaki UKAI
1707 (68 • 106044 + 121) / 9   6045 Nov 2020 Masaki UKAI
1708 (4 • 106048 + 9) / 17953   6045 Sep 2020 Masaki UKAI
1709 (83 • 106044 − 11) / 81   6045 Sep 2020 Masaki UKAI
1710 (106069 + 3) / 66665910323621681180406731   6044 May 2019 Alfred Reich
1711 (721 • 106041 − 1) / 9   6043 Nov 2020 Masaki UKAI
1712 (2 • 106049 − 3) / 25807003   6042 Sep 2020 Masaki UKAI
1713 (174916 + 1) / 821271826   6040 Oct 2020 Masaki UKAI
1714 (53 • 106039 − 449) / 9   6040 Nov 2020 Masaki UKAI
1715 (13 • 106038 + 11) / 3   6039 Sep 2020 Masaki UKAI
1716 (79 • 106066 − 43) / 428035017369116663999159803821   6039 Oct 2020 Masaki UKAI
1717 5382211 − 2211538   6038 Feb 2023 Tengfei Wang Leyland minus-form
1718 14033# / 330 + 72508   6037 Nov 2013 Dana Jacobsen Part of proven prime gap;d = 283266
1719 14033# / 330 − 210758   6037 Nov 2013 Dana Jacobsen Part of proven prime gap;d = 283266
1720 (19 • 106035 + 593) / 9   6036 Nov 2020 Masaki UKAI
1721 (29 • 174904 − 1) / 4   6035 Mar 2018 Dennis Sydekum
1722 106034 − 100001   6034 Nov 2020 Masaki UKAI Near repdigit
1723 95 • 106032 − 9   6034 Nov 2020 Masaki UKAI
1724 (295 106032 − 7) / 9   6034 Nov 2020 Masaki UKAI
1725 12821941 − 19411282   6033 Nov 2020 Masaki UKAI Leyland minus-form
1726 primV(57270)   6033 Mar 2013 David Broadhurst; Bouk de Water Lucas primitive part
1727 (23 • 106037 + 31) / 1328517   6033 Oct 2020 Masaki UKAI
1728 (32 • 106046 − 41) / 3203016883196679   6032 Oct 2020 Masaki UKAI
1729 (14 • 106042 + 31) / 245811350601   6032 Oct 2020 Masaki UKAI
1730 (413746 + 40) / 9088461853   6032 Apr 2024 Alfred Reich Dual Williams cofactor
1731 (106038 + 1) / 18295241   6031 Mar 2013 Alfred Reich
1732 10409207693 • 220000 + 11   6031 May 2019 Peter Kaiser Part of sexy prime triplet
1733 10409207693 • 220000 + 5   6031 May 2019 Peter Kaiser Part of sexy prime triplet
1734 8704161957 • 220000 + 11   6031 May 2019 Peter Kaiser Part of sexy prime triplet
1735 8704161957 • 220000 + 5   6031 May 2019 Peter Kaiser Part of sexy prime triplet
1736 (27 • 220072 + 1) / 18002331239161   6031 Oct 2020 Masaki UKAI
1737 88 • 106028 + 3   6030 Nov 2020 Masaki UKAI
1738 (79 • 106029 − 61) / 9   6030 Sep 2020 Masaki UKAI
1739 (23 • 106029 + 97) / 3   6030 Nov 2020 Masaki UKAI
1740 (106036 − 55) / 18720315   6029 Sep 2020 Masaki UKAI
1741 (106046 − 1) / 130050682735329948069   6028 Oct 2020 Masaki UKAI
1742 Φ(49020 [C-D], 10) / ​3855521041/​575447936881   6027 Sep 2013 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(49020)
1743 (86 • 106025 − 437) / 9   6026 Nov 2020 Masaki UKAI
1744 (536 • 106023 + 31) / 9   6025 Nov 2020 Masaki UKAI
1745 (46 • 106024 + 503) / 9   6025 Nov 2020 Masaki UKAI
1746 (3 • 106030 + 1) / 87390463   6023 Nov 2020 Masaki UKAI
1747 3 • 106022 − 31   6023 Nov 2020 Masaki UKAI
1748 (95 • 220000 + 1) / 3   6023 Jun 2020 Anonymous
1749 (79 • 106027 − 7) / 11410353   6022 Sep 2020 Masaki UKAI
1750 (19998 • 219997 + 1) / 157   6022 Sep 2020 Masaki UKAI Near Cullen cofactor
1751 (19 • 106024 + 197) / 5589   6022 Jun 2024 Alfred Reich
1752 See complete expression   6021 Jun 2019 Anonymous Mersenne cofactor
1753 (106025 − 6) / 23182   6021 May 2020 Anonymous
1754 4 • 106020 + 99   6021 Nov 2020 Masaki UKAI
1755 See complete expression   6021 Jun 2023 Anonymous
1756 2 • 106020 + 93   6021 Nov 2020 Masaki UKAI
1757 219999 + 5127869884053   6021 Jan 2026 Oliver Kruse Part of smallest 20000-bit
  prime triplet
1758 (2094! − 1) / 826223266804653141128873107   6020 Sep 2020 Masaki UKAI
1759 (13 • 106019 + 197) / 3   6020 Nov 2020 Masaki UKAI
1760 primU(70455)   6019 Mar 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
1761 (103 • 106017 − 1) / 3   6019 Nov 2020 Masaki UKAI
1762 219993 − 531   6019 Nov 2020 Masaki UKAI
1763 (413747 + 40) / 26955936417995369917756077   6018 Apr 2024 Alfred Reich Dual Williams cofactor
1764 (7 • 106031 − 9) / 1203013167002149   6017 Oct 2020 Masaki UKAI
1765 (464 • 106015 + 31) / 9   6017 Oct 2020 Masaki UKAI
1766 (39 • 220003 + 1) / 2707207   6017 Oct 2020 Masaki UKAI
1767 219986 − 275   6017 Nov 2020 Masaki UKAI
1768 (86 • 106020 + 13) / 368577   6017 Sep 2020 Masaki UKAI
1769 (34 • 106023 − 7) / 183829491   6017 Oct 2020 Masaki UKAI
1770 219985 + 11   6017 Nov 2020 Masaki UKAI
1771 106016 + 37   6017 Aug 2015 Anonymous
1772 5802177 + 2177580   6016 Jul 2021 Oliver Kruse Leyland plus-form
1773 (5 • 220024 + 1) / 6384877242261   6016 Oct 2020 Masaki UKAI
1774 219983 − 135   6016 Nov 2020 Masaki UKAI
1775 219981 − 403   6015 Nov 2020 Masaki UKAI
1776 (3 • 106017 − 7) / 1753   6015 Sep 2020 Masaki UKAI
1777 8 • 106013 − 49   6014 Oct 2020 Masaki UKAI
1778 (134 • 106012 − 11) / 3   6014 Nov 2020 Masaki UKAI
1779 (45 • 219981 − 1) / 14827   6013 Oct 2020 Masaki UKAI
1780 (17 • 106012 − 431) / 9   6013 Oct 2020 Masaki UKAI
1781 (79 • 106011 − 457) / 9   6012 Oct 2020 Masaki UKAI
1782 (34 • 106011 − 259) / 9   6012 Oct 2020 Masaki UKAI
1783 94 • 106009 − 3   6011 Nov 2020 Masaki UKAI
1784 E(2220) / 392431891068600713525   6011 Feb 2013 David Broadhurst; Bouk de Water Euler irregular
1785 (35 • 106010 + 19) / 9   6011 Nov 2020 Masaki UKAI
1786 (79 • 106031 − 43) / 99009862783913076614271   6010 Oct 2020 Masaki UKAI
1787 (58 • 106009 − 121) / 9   6010 Nov 2020 Masaki UKAI
1788 See complete expression   6010 Nov 2016 Jared M. Polzer
1789 (7 • 106009 + 113) / 3   6010 Oct 2020 Masaki UKAI
1790 (59 • 106013 + 13) / 701721   6009 Sep 2020 Masaki UKAI
1791 (2 • 106019 − 3) / 54017352713   6009 Sep 2020 Masaki UKAI
1792 (106009 − 1) / 9 − 102989   6009 Jun 2024 Alfred Reich Near repunit
1793 (29 • 106007 + 241) / 9   6008 Oct 2020 Masaki UKAI
1794 (83 • 106005 + 493) / 9   6006 Oct 2020 Masaki UKAI
1795 (46 • 106017 + 17) / 188908243134579   6005 Nov 2020 Masaki UKAI
1796 (34 • 106013 − 43) / 36692294463   6004 Sep 2020 Masaki UKAI
1797 (106021 + 9) / 148174762442801383   6004 Oct 2020 Masaki UKAI Dual Williams cofactor
1798 (59 • 106018 + 31) / 10987041644852499   6004 Sep 2020 Masaki UKAI
1799 (74 • 106004 + 7) / 387   6004 Sep 2020 Masaki UKAI
1800 See complete expression   6003 Apr 2021 Matteo D'Aniello
1801 (327 • 220000 + 1) / 411191250638478413971   6003 Jun 2020 Anonymous
1802 (22085 + 2085! − 1) / 527426466015967   6003 Apr 2021 Anonymous
1803 (62 • 106004 − 71) / 4761   6003 Oct 2020 Masaki UKAI
1804 219937 + 4149   6002 Mar 2024 Anonymous Next prime of M(19937)
1805 219937 − 20023   6002 Jan 2023 Anonymous Largest prime less than M(19937)
1806 (6 • 106009 + 1) / 431585993   6002 Apr 2012 Youcef Lemsafer
1807 86645 − 457   6002 Nov 2020 Masaki UKAI
1808 (7252099 − 1) / 724   6001 Dec 2018 Richard Dickerson Generalized repunit
1809 (79 • 106000 − 97) / 9   6001 Oct 2020 Masaki UKAI
1810 6 • 106000 + 47   6001 Oct 2020 Masaki UKAI
1811 49967 + 13   6001 Nov 2020 Masaki UKAI
1812 (106001 − 106) / 6   6001 Oct 2020 Masaki UKAI
1813 106000 − 11213   6000 Aug 2023 U.N.Owen Largest 6000-digit prime
1814 (57981597 + 1) / 17225471379   6000 Jan 2023 Markus Tervooren Generalized Wagstaff cofactor
1815 (75121549 − 1) / 7511   6000 Dec 2020 Anonymous Generalized repunit
1816 See complete expression   6000 Jun 2023 Anonymous
1817 (75101549 + 1) / 7511   6000 May 2023 Anonymous Generalized Wagstaff
1818 (127 • 219965 + 1) / 4877321704785   6000 Sep 2019 Geoffrey Yeung
1819 (17 • 219933 − 1) / 183   6000 May 2019 Geoffrey Yeung
1820 See complete expression   6000 Mar 2018 Edwin Hall
1821 600 • (5992257 + 1) / (59961 + 1) / (59937 + 1)   6000 Jun 2023 Anonymous Generalized Wagstaff cofactor
1822 See complete expression   6000 Mar 2018 Edwin Hall
1823 See complete expression   6000 Aug 2020 Paul S. Vanderveen
1824 See complete expression   6000 Apr 2018 Edwin Hall
1825 (93 • 219937 + 1) / 30277   6000 May 2019 Geoffrey Yeung
1826 105999 + 835812013687   6000 Mar 2022 Oliver Kruse Smallest 6000-digit prime triplet
1827 105999 + 835812013683   6000 Mar 2022 Oliver Kruse Smallest 6000-digit prime triplet
1828 105999 + 835812013681   6000 Mar 2022 Oliver Kruse Smallest 6000-digit prime triplet
1829 105999 + 634115091753   6000 Mar 2022 Oliver Kruse Smallest 6000-digit prime triplet
1830 105999 + 634115091751   6000 Mar 2022 Oliver Kruse Smallest 6000-digit prime triplet
1831 105999 + 634115091747   6000 Mar 2022 Oliver Kruse Smallest 6000-digit prime triplet
1832 105999 + 242051193   6000 May 2021 Norman Luhn Smallest 6000-digit twin prime
1833 105999 + 242051191   6000 May 2021 Norman Luhn Smallest 6000-digit twin prime
1834 105999 + 29379   6000 Jan 2020 Geoffrey Yeung Smallest 6000-digit prime