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 number
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 number
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 UnderwoodM; Henri Lifchitz Lucas number
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 number
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 number
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 primV(123573)   16198 May 2019 Serge Batalov Lucas primitive part
82 Φ(10356,50091) / 10304269521936621850713514888196023221889   16165 Nov 2016 Tom Wu Part of BLS primality proof of
  (5009110357 − 1) / 50090
83 Lucas(77417) / 313991497376559420151   16159 Aug 2020 Serge Batalov Lucas cofactor
84 Φ(64410,10) / 89083940360761   16115 Nov 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(64410)
85 M(53381) / 94649555180092174344611143949332081125424867221122582640412951   16008 Mar 2017 Paul Underwood Mersenne cofactor
86 − E(5186) / 295970922359784619239409649676896529941379763   15954 Mar 2018 Thomas Ritschel Euler irregular
87 primV(121227)   15890 May 2019 Serge Batalov Lucas primitive part
88 Φ(7545,9082) / 268247497918471   15882 Oct 2014 Tom Wu Part of BLS primality proof of
  (908215091 − 1) / 9081
89 See complete expression   15721 Apr 2014 Anonymous -
90 718582 − 185827   15704 Dec 2023 Tengfei Wang Leyland minus-form
91 primU(131481)   15695 Mar 2019 Serge Batalov Fibonacci primitive part
92 Φ(34474,10) / ​404621339   15652 Oct 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(34474)
93 primV(120258)   15649 May 2019 Serge Batalov Lucas primitive part
94 Φ(32302,10) / 1451105224587147287   15582 Oct 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(32302)
95 M(51487) / 992759464401015098867323676444574243990277591   15455 Nov 2018 Serge Batalov Mersenne cofactor
96 primB(183835)   15368 Mar 2019 Serge Batalov Lucas Aurifeuillian primitive part
97 Φ(71400,10) / ​176358001   15352 Dec 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(71400)
98 primU(77387)   15319 Mar 2019 Serge Batalov Fibonacci primitive part
99 (42244224 + 42234223) / 43228896852681817   15299 Mar 2016 Richard Dickerson Lifchitz plus cofactor
100 Φ(285,− 2637124) / 13082397832081   15267 Feb 2012 Tom Wu Part of BLS primality proof of
  (2637113681 − 1) / 26370
101 728192 + 438192   15216 Oct 2012 Youcef Lemsafer -
102 primB(181705)   15189 Feb 2012 Serge Batalov Lucas Aurifeuillian primitive part
103 4183192700 + 418318   15179 Dec 2023 Alfred Reich -
104 Φ(10092,44497)   15098 Jun 2016 Tom Wu Part of BLS primality proof of
  (4449710093 − 1) / 44496
105 1015093 + 7   15094 Apr 2021 Alfred Reich -
106 249989 − 499892   15049 Oct 2023 Tengfei Wang Leyland minus-form
107 Fib(71983) / 2043438054776977   15028 Dec 2018 Serge Batalov Fibonacci cofactor
108 2494779036241 • 249800 + 13   15004 Apr 2022 Serge Batalov Part of a CPAP-3
109 2494779036241 • 249800 + 7   15004 Apr 2022 Serge Batalov Part of a CPAP-3
110 1015000 − 8621   15000 Jan 2025 U.N.Owen -
111 primB(268665)   14972 Apr 2019 Serge Batalov Lucas Aurifeuillian primitive part
112 primV(75316)   14897 Dec 2015 Charles H (Chuck) Lasher;
  Harvey Dubner		 Lucas primitive part
113 Φ(5015, − 10000)   14848 Apr 2013 Ray Chandler Unique
114 primV(91322)   14847 Feb 2016 Charles H (Chuck) Lasher;
  Harvey Dubner		 Lucas primitive part
115 Φ(13476,1852) / 38475181770440710933448053   14640 Aug 2015 Tom Wu Part of BLS primality proof of
  (185213477 − 1) / 1851
116 primA(284895)   14626 Apr 2019 Serge Batalov Lucas Aurifeuillian primitive part
117 1014600 + 7   14601 Jul 2020 Alfred Reich -
118 Φ(30452,10) / 9702901620338905487971475229839576180195475686611321   14469 Jul 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(30452)
119 Fib(69239) / 1384781   14464 Sep 2018 Serge Batalov Fibonacci cofactor
120 M(48617) / M(797) / M(61)   14377 May 2019 Anonymous Mersenne cofactor
121 1014357 − 2 • 1013570 − 3   14357 Mar 2022 Ray Chandler -
122 Φ(9336,42417) / 46299256179289281554796097   14339 Jun 2024 Tom Wu Part of BLS primality proof of
  (424179337 − 1) / 42416
123 primA(170575)   14258 Jan 2019 Serge Batalov Lucas Aurifeuillian primitive part
124 Lucas(68213) / 7290202116115634431   14237 Aug 2018 Serge Batalov Lucas cofactor
125 R(16597) / R(2371) / 29505775938311   14213 Jun 2016 Ray Chandler Repunit cofactor
126 Φ(43566,10) / ​130699   14139 Aug 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(43566)
127 Φ(9318,36210) / 4494536789839233596781125043007   14130 Jun 2024 Tom Wu Part of BLS primality proof of
  (362109319 − 1) / 36209
128 See complete expression   14078 Aug 2019 Serge Batalov -
129 R(14011) / 3122892204966673507876545735955200724341171845519631387   13957 Jun 2016 Ray Chandler Repunit cofactor
130 Φ(11490,38284) / 266998459447149619398404835337978513293521552530531   13956 Mar 2013 Tom Wu Part of BLS primality proof of
  (3828411491 − 1) / 38283
131 Fib(67703) / Fib(857) / 14472334024676221   13954 Jul 2018 Serge Batalov Fibonacci cofactor
132 Fib(66947) / 12485272838388758877279873712131648167413   13951 Apr 2017 Serge Batalov Fibonacci cofactor
133 Lucas(66533) / 2128184670585621839884209100279   13875 Dec 2018 Serge Batalov Lucas cofactor
134 6 • Bern(5534) / 226840561549600012633271691723599339   13862 Feb 2014 David Metcalfe; Thomas Ritschel;
  Jens Kruse Andersen		 Irregular
135 B(66242)   13847 Apr 2018 Jared M. Polzer Brady number
136 4410546 • Bern(5526) / 9712202742835546740714595866405369616019   13840 Apr 2018 Thomas Ritschel Irregular
137 1013820 − 3   13820 Jun 2022 Markus Tervooren Near repdigit
138 1013807 + 13807    13808 Nov 2023 Anonymous Dual Cullen prime
139 (1013784 + 7) / 27771161176334419   13768 Mar 2021 Alfred Reich -
140 4715140 + 5140471    13740 Mar 2023 Tengfei Wang Leyland plus-form
141 1013726 − 5 • 1013419 − 3   13726 Mar 2022 Ray Chandler -
142 1013681 − 5 • 102824 − 1   13681 Mar 2022 Ray Chandler Part of a twin prime
143 1013681 − 5 • 102824 − 3   13681 Feb 2022 Ray Chandler Part of a twin prime
144 primB(163595)   13675 Jul 2018 Serge Batalov Lucas Aurifeuillian primitive part
145 4250! + 850! + 1   13578 Feb 2020 Peter Košinár -
146 (418388 + 40) / 6353091241359073016116549653451   13498 May 2024 Alfred Reich Dual Williams cofactor
147 Φ(41470,10) / ​1658801   13434 Apr 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(41470)
148 (37593759 + 37583758) / 8408153197032643414637   13417 Apr 2015 Richard Dickerson Lifchitz plus cofactor
149 56667641271 • 244441 + 5   13389 Apr 2022 Oliver Kruse; Stephan Schöler Part of a prime triplet
150 p(140380916)   13191 May 2022 Chuck Lasher Partitions
151 p(140303751)   13187 May 2022 Chuck Lasher Partitions
152 primU(94551)   13174 Apr 2018 Serge Batalov Fibonacci primitive part
153 1013069 − 5 • 1012385 − 3   13069 Feb 2022 Ray Chandler -
154 (1013023 + 7) / 6453389   13017 Mar 2021 Alfred Reich -
155 primB(242295)   13014 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part
156 See complete expression   12998 Dec 2018 Serge Baralov -
157 Φ(26008,10) / 4216522190067097972291840975367635579445657   12958 Apr 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(26008)
158 Φ(75740 [C+D] ,10) / ​204043561   12953 Apr 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(75740)
159 Φ(28455,10) / 5258291515652656797947926184778372614764081094641   12912 Mar 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(28455)
160 Φ(12972,1549) / 33320592661   12903 Sep 2011 Tom Wu Part of BLS primality proof of
  (154912973 − 1) / 1548
161 Fib(61813) / 2236143226659081266701   12897 Dec 2018 Serge Batalov Fibonacci cofactor
162 Φ(64060 [C-D] ,10)   12809 Mar 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(64060)
163 (1012817 + 7) / 3030281866046117   12802 Feb 2021 Alfred Reich -
164 primU(62771)   12791 Apr 2018 Serge Batalov Fibonacci primitive part
165 (1012809 + 7) / 34790386359869004143   12790 Oct 2020 Alfred Reich -
166 Φ(27472,10) / 4532606311701334388113   12779 Mar 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(27472)
167 p(131328565)   12758 Mar 2017 Serge Batalov Partitions
168 primA(154415)   12728 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part
169 (1012602 − 1) / 9 − 106301   12602 Mar 2023 Tengfei Wang Near repunit
170 primA(263865)   12570 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part
171 6 • Bern(5078) / 643283455240626084534218914061   12533 May 2013 Thomas Ritschel Irregular
172 M(41681) / 50021504124824209998331027904313150125767065389449583   12495 Apr 2015 Serge Batalov Mersenne cofactor
173 M(41521) / 41602235382028197528613357724450752065089   12459 Aug 2012 Tom Wu Mersenne cofactor
174 (1012454 + 7) / 465514545959   12443 Aug 2020 Alfred Reich -
175 (22 • 268773+ 53) / 25   12414 Feb 2015 Anonymous -
176 M(41263) / 1379707143199991617049286121   12395 Oct 2012 David Metcalfe Mersenne cofactor
177 R(12413) / 71981093659479847827654672018603   12382 Feb 2016 Ray Chandler Repunit cofactor
178 Φ(93420 [C-D] ,10) / 5026930200001   12372 Feb 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(93420)
179 Fib(59369) / 24424236691484660394583037561699885688092693836440759407570209763004757   12337 Apr 2015 Serge Batalov Fibonacci cofactor
180 p(122110618)   12302 Apr 2015 Serge Batalov Partitions
181 Φ(24832,10) / 216817628929793   12274 Jan 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(24832)
182 See complete expression   12266 Jan 2021 Paul S. Vanderveen -
183 Φ(30650,10) / 55082730049767601   12224 Jan 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(30650)
184 primU(809,1,8662)   12214 Jul 2019 Serge Batalov Fibonacci primitive part
185 p(120052058)   12198 Dec 2012 David Metcalfe Partitions
186 (8008450840 • 240501 + 1) / 14886194409995637157139753229   12174 May 2017 Anonymous Proth cofactor
187 Φ(5655,34120) / 2271359859904984234411620898291   12155 Mar 2012 Tom Wu Part of BLS primality proof of
  (3412011311− 1) / 34119
188 (1012143 + 7) / 42686281893173706680658963579615275995302772319   12097 Sep 2020 Alfred Reich -
189 (1012092 + 7) / 17674680705494895280031   12070 Sep 2020 Alfred Reich -
190 (1012036 + 7) / 34769374508226918531515812507   12008 Mar 2024 Alfred Reich -
191 664342014133 • 239840 − 29   12005 Mar 2020 Serge Batalov Part of a CPAP-3
192 664342014133 • 239840 − 59   12005 Apr 2020 Serge Batalov Part of a CPAP-3
193 (25153532 + 35322515) / 58788056567   12000 Oct 2018 Edwin Hall Leyland plus-form cofactor
194 (200602792 − 200601396 + 1) / 6978841365608175696640474868614878036235777   11970 May 2015 Serge Batalov Cyclotomic polynomial cofactor
195 (33773377 + 33763376) / 10748454158666113155842929899   11888 Aug 2013 Richard Dickerson Lifchitz plus cofactor
196 R(14825) / R(2965) / 2385593169023127848787616597709045781314051389601   11812 Jan 2016 Ray Chandler Repunit cofactor
197 See complete expression   11811 Dec 2021 Youcef Lemsafer -
198 Φ(27496,10) / 168030249266363848764289   11737 Jan 2016 Ray Chandler Cyclotomic polynomial cofactor
  of R(27496)
199 primA(143705)   11703 Apr 2017 Serge Batalov Lucas Aurifeuillian primitive part
200 1011659 − 5 • 101092 − 1   11659 Feb 2022 Ray Chandler Part of a prime twin; near repdigit
201 1011659 − 5 • 101092 − 3   11659 Feb 2022 Ray Chandler Part of a prime twin
202 4207993863 • 238624 + 5   11637 Jun 2021 Frank Doornink Part of a prime triplet
203 primV(83481)   11631 May 2015 Chuck Lasher Lucas primitive part
204 primU(73025)   11587 Apr 2015 Serge Batalov Fibonacci primitive part
205 primU(67781)   11587 Apr 2015 Serge Batalov Fibonacci primitive part
206 (32953295 + 32943294) / 12740953   11585 Jun 2013 Richard Dickerson Lifchitz plus cofactor
207 R(14485) / R(2897) / 51188280415874381036921   11566 Dec 2015 Ray Chandler Repunit cofactor
208 primB(219165)   11557 May 2015 Serge Batalov Lucas Aurifeuillian primitive part
209 primV(56356)   11557 Jun 2022 Chuck Lasher Lucas primitive part
210 primV(58672)   11557 Jun 2022 Chuck Lasher Lucas primitive part
211 primV(58672)   11557 Jun 2022 Chuck Lasher Lucas primitive part
212 Φ(57740 [C+D] ,10)   11545 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(57740)
213 1011504 − 5 • 1010085 − 3   11504 Feb 2022 Ray Chandler -
214 Φ(47520,10) / ​11493924613839361   11504 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(47520)
215 Φ(35712,10) / ​5391064400230083022849   11499 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(35712)
216 Φ(86340 [C+D] ,10) / 32427678822181   11491 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(86340)
217 238090 + 47269   11467 Feb 2012 Norman Luhn Dual Sierpinski Problem
218 Φ(23572,10) / ​243203586324449   11466 Nov 2015 Ray Chandler Repunit cofactor of R(23572)
219 Fib(54799) / 4661437953906084533621577211561   11422 Jan 2015 David Broadhurst; Bouk de Water Fibonacci cofactor
220 (26 • 1011373 minus; 449) / 9   11374 Jan 2021 Thomas Ritschel -
221 Fib(54521) / 6403194135342743624071073   11370 Jan 2015 David Broadhurst; Bouk de Water Fibonacci cofactor
222 327511 − 751132   11306 Nov 2023 Tengfei Wang Leyland minus-form
223 (19 • 1011286 − 91) / 32297260888735659   11271 Nov 2023 Alfred Reich -
224 Φ(24466,10) / ​1312096417987559179   11262 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(24466)
225 1011225 − 8 • 109840 − 3   11225 Feb 2022 Ray Chandler -
226 p(100077222)   11136 Nov 2012 David Metcalfe Partitions
227 Fib(53189) / 69431662887136064191105625570683133711989   11075 Dec 2014 David Broadhurst; Bouk de Water Fibonacci cofactor
228 primU(61733)   11058 Mar 2015 Serge Batalov Fibonacci primitive part
229 14059969053 • 236672 − 5   11050 Jun 2018 Serge Batalov Part of a prime triplet
230 Φ(41550,10) / ​2659201   11034 Nov 2015 Ray Chandler Repunit cofactor of R(41550)
231 Lucas(52859) / 1124137922466041911   11029 Oct 2014 David Broadhurst; Bouk de Water Lucas cofactor
232 1011021 + 3   11022 Oct 2023 Alfred Reich -
233 (145 • 236579 + 1) / 80640950291793   11000 May 2021 Anonymous Proth cofactor
234 See complete expression   11000 May 2018 Edwin Hall -
235 Φ(28952,10) / 6252357514486529280922692142551049114423577   10998 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(28952)
236 (11 • 1010981 + 3 • 1010965 + 2 • 109715 + 107314 + 102593 − 3 • 103218 − 51) / 9   10982 Oct 2025 Jason Yuen - (new)
237 (31413141 + 31403140) / 508719649   10976 May 2013 Richard Dickerson Lifchitz plus cofactor
238 Φ(34278,10) / 1678861663294594133263   10955 Oct 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(34278)
239 (1010903 + 7) / 70972859   10896 Aug 2020 Alfred Reich -
240 5553964 − 3964555   10879 Dec 2023 Tengfei Wang Leyland minus-form
241 Φ(23698,10) / ​11095752925475302853   10861 Aug 2016 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(23698)
242 Lucas(52201) / 70585804042896975505694709575919458733851279868446609   10857 Mar 2015 David Broadhurst; Bouk de Water Lucas cofactor
243 Lucas(52009) / 39772636393178951550299332730909   10838 Mar 2015 David Broadhurst; Bouk de Water Lucas cofactor
244 19803281 − 32811980   10817 Dec 2023 Tengfei Wang Leyland minus-form
245 Lucas(51941) / 2808052157610902114547210696868337380250300924116591143641642866931   10789 Jan 2015 David Broadhurst; Bouk de Water Lucas cofactor
246 3554226 − 4226355   10778 Dec 2023 Tengfei Wang Leyland minus-form
247 1554914 − 4914155   10764 Dec 2023 Tengfei Wang Leyland minus-form
248 417877 + 3   10764 Sep 2015 Frank Schickel Dual Williams prime
249 745755 − 575574   10758 Nov 2023 Tengfei Wang Leyland minus-form
250 3428602715439 • 235678 + 13   10753 Apr 2020 Serge Batalov Part of a sexy prime triplet
251 3428602715439 • 235678 + 7   10753 Apr 2020 Serge Batalov Part of a sexy prime triplet
252 (235851 + 1) / 270128075618416280186665624066753024458414196059   10745 Aug 2019 Paul Underwood Wagstaff cofactor
253 811889 + 118898   10737 Feb 2012 Andrey V. Kulsha Leyland plus-form
254 2394506 + 2384505   10718 Nov 2024 Jason Yuen -
255 Lucas(51349) / 224417260052884218046541   10708 Sep 2014 David Broadhurst; Bouk de Water Lucas cofactor
256 (235677 + 1) / 15923710079918268519082938436557873216969746649   10694 Feb 2020 Anand S Nair Wagstaff cofactor
257 Φ(21368,10) / 27699508108389263492021113   10659 May 2013 Alfred Reich Cyclotomic polynomial cofactor
  of R(21368)
258 188489 − 848918   10657 Oct 2023 Tengfei Wang Leyland minus-form
259 Fib(51031) / 95846689435051369   10648 Sep 2014 David Broadhurst; Bouk de Water Lucas cofactor
260 322316 + 2   10648 Oct 2015 Frank Schickel Dual Williams prime
261 Lucas(50989) / 69818796119453411   10640 Aug 2014 David Broadhurst; Bouk de Water Lucas cofactor
262 (245363571 • 235426 − 3) / 4840728260155155493606341384372091137139023   10630 Jun 2010 Tom Wu Part of sequence of four
  consecutively factored integers
263 (1010647 + 7) / 582839970850610767067   10627 Aug 2020 Alfred Reich -
264 Φ(26570,10)   10625 Dec 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(26570)
265 φ(32184,10) / 149901609248398286998426345085780865697841494496161969   10603 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(32184)
266 2683143625525 • 235176 + 13   10602 Dec 2019 Gerd Lamprecht; Norman Luhn Part of a sexy prime triplet
267 2683143625525 • 235176 + 7   10602 Dec 2019 Gerd Lamprecht; Norman Luhn Part of a sexy prime triplet
268 5223899 − 3899522   10597 Jan 2024 Tengfei Wang Leyland minus-form
269 p(90048122)   10563 Oct 2012 David Metcalfe Partitions
270 M(35339) / 49098843038498904028395440486235033667674267835480981233904512709297747031041   10562 Apr 2015 Serge Batalov Mersenne cofactor
271 1213266377 • 235000 + 4859   10546 Mar 2014 David Broadhurst Part of a CPAP-3; d = 2430
272 1213266377 • 235000 + 2429   10546 Mar 2014 David Broadhurst Part of a CPAP-3; d = 2430
273 1043085905 • 235000 + 18197   10546 Feb 2014 David Broadhurst Part of a CPAP-3; d = 18198
274 1043085905 • 235000 − 18199   10546 Feb 2014 David Broadhurst Part of a CPAP-3; d = 18198
275 109061779 • 235003 + 11855   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 5928
276 109061779 • 235003 + 5927   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 5928
277 350049825 • 235000 + 7703   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 3852
278 350049825 • 235000 + 3851   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 3852
279 146462479 • 235001 − 8767   10545 Dec 2013 David Broadhurst Part of a CPAP-3; d = 8766
280 (19 • 1010515 + 287) / 9   10516 Jul 2022 Alfred Reich -
281 primU(55297)   10483 Sep 2014 David Broadhurst; Bouk de Water Fibonacci primitive part
282 Φ(561,43669) / 361212114583   10472 Jun 2012 Andrew A. D. Steward -
283 (234772 + 1) / 24665523763537   10455 Feb 2020 Anonymous -
284 1215018 − 5018121   10452 Nov 2023 Tengfei Wang Leyland minus-form
285 21213140 − 31402121   10446 Nov 2023 Tengfei Wang Leyland minus-form
286 (19 • 1010435 + 521) / 9   10436 Jul 2024 Alfred Reich -
287 234653 + 346532   10432 Sep 2010 Andrey V. Kulsha Leyland plus-form
288 3221449497221499 • 234567 + 5   10422 Aug 2015 Peter Kaiser Part of a prime triplet
289 1288726869465789 • 234567 − 5   10421 Apr 2014 Peter Kaiser Part of a prime triplet
290 Φ(31254,10) / ​1531447   10410 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(31254)
291 Φ(10679,10) / 2801351900096504446401206289755362971854729   10398 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor
  of R(10679)
292 (1010393 + 7) / 96851   10389 May 2021 Alfred Reich -
293 8733530 − 3530873   10382 Dec 2023 Tengfei Wang Leyland minus-form
294 Φ(4641,32556) / 21822667391000664007   10378 Jul 2012 Tom Wu Part of BLS primality proof of
  of (325569283 − 1) / 32555
295 See complete expression   10376 Nov 2018 Serge Batalov -
296 417226 − 3   10372 Dec 2023 Matteo D'Aniello Dual Williams prime
297 Φ(34386,10) / 6573271911379053751098633975048464359927832533   10355 Oct 2023 Alfred Reich Cyclotomic polynomial cofactor
  of R(34386)
298 ( 19 • 1010338 + 719) / 9   10339 Jun 2024 Alfred Reich -
299 See complete expression   10313 May 2025 Anonymous -
300 Lucas(49391) / 298414424560419239   10305 Jun 2013 David Broadhurst; Bouk de Water Lucas cofactor
301 (19 • 1010296 − 1) / 9   10297 Feb 2012 Markus Tervooren -
302 379 • 1010274 + 9   10277 Jan 2025 Jason Yuen -
303 (234127 − 2) / 34127 + 1   10269 Mar 2025 Jason Yuen -
304 26802987 + 29872680   10240 Oct 2017 Richard Dickerson Leyland plus-form
305 27352974 + 29742735   10222 Sep 2017 Richard Dickerson Leyland plus-form
306 ⌊(√42 • 1010212)⌋ % 1010212   10212 Jan 2016 Anonymous first 10212 digits of √42
307 613030 + 5   10140 Aug 2015 Frank Schickel Dual Williams prime
308 647935598824239 • 233619 + 5   10136 May 2019 Peter Kaiser Part of a prime triplet
309 209102639346537 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet
310 185353103135997 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet
311 162615027598677 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet
312 667674063382677 • 233608 + 7   10132 Feb 2019 Peter Kaiser Part of first known
  gigantic prime quadruplet
313 667674063382677 • 233608 + 5   10132 Feb 2019 Peter Kaiser Part of first known
  gigantic prime quadruplet
314 primV(77292)   10112 Jun 2014 Charles H (Chuck) Lasher; Harvey Dubner Lucas primitive part
315 p(82479677)   10109 Sep 2012 David Metcalfe Partitions
316 621988357825221 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet
317 489294113456196 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet
318 p(82352631)   10101 Sep 2012 Larry Soule Partitions
319 429915684905751 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet
320 79417260617886 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet
321 68048224519176 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet
322 56107655772636 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet
323 50917051471806 • 233505 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
324 90585694774959 • 233503 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
325 633669130955577 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
326 596754028175112 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
327 558173000087697 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
328 551381480912562 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
329 13994628271791 • 233505 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
330 442066703275842 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
331 405970802435022 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
332 356410982223402 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet
333 233548 + 4471   10099 Jul 2012 Norman Luhn Dual Sierpinski Problem
334 171013289842167 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet
335 145360980646197 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet
336 140892134560437 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet
337 28387857090561 • 233501 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet
338 81505264551807 • 233444 + 5   10082 Jul 2012 Peter Kaiser Part of a prime triplet
339 296886 + 688629   10071 Jul 2021 Oliver Kruse Leyland plus-form
340 See complete expression   10066 Feb 2013 Rocke Verser Cyclotomic polynomial cofactor
  of (569300 − 1) / 4
341 φ(22575,10) / 567394760213977999801   10060 Oct 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(22575)
342 1191713 • 233337 − 6269   10042 Nov 2013 Pierre Cami Part of a CPAP-3; d = 6270
343 1191713 • 233337 − 12539   10042 Nov 2013 Pierre Cami Part of a CPAP-3; d = 6270
344 5073712 + 3712507   10041 Aug 2019 Dylan Delgado Leyland plus-form
345 18416522281203 • 233222 + 11   10015 Jan 2020 Peter Kaiser Part of a sexy prime triplet
346 18416522281203 • 233222 + 5   10015 Jan 2020 Peter Kaiser Part of a sexy prime triplet
347 (7 • 1010014 + 11) / 9 + 2 • 103046   10014 Jan 2015 Serge Batalov Part of a prime twin
348 (7 • 1010014 - 7) / 9 + 2 • 103046   10014 Jan 2015 Serge Batalov Part of a prime twin; near repdigit
349 1010010 + 1392367683   10011 Oct 2025 Stephan Schöler Reversible prime (emirp) (new)
350 (1010002 − 1) / 9 − 102872   10002 Feb 2023 Tengfei Wang Near repunit
351 See complete expression   10001 Sep 2012 Anonymous -
352 956157 • 109994 + 711826   10000 Dec 2014 Anonymous -
353 905832 • 109994 + 711826   10000 Mar 2018 Ben Chaffin -
354 840879 • 109994 + 711826   10000 May 2023 Anonymous -
355 See complete expression   10000 Jun 2018 Dennis Sydekum -
356 1524583 − 1514583   10000 Sep 2012 Mike Oakes Oakes number
357 (7863457 + 3457786) / 14356930135   10000 May 2018 Edwin Hall Leyland plus-form cofactor
358 Fib(47848)+87736   10000 Mar 2024 Anonymous -
359 ((11476 • 1035 + 9731)256 + 1) / 2   10000 Jul 2020 Anonymous Generalized half-Fermat
360 109999 + 2421018649   10000 Jun 2021 Norman Luhn Part of smallest
  10000-digit prime twin
361 109999 + 2421018651   10000 Jun 2021 Norman Luhn Part of smallest
  10000-digit prime twin
362 109999 + 131673   10000 May 2024 Mohammad Raja -
363 109999 + 33603   10000 Apr 2013 Alfred Reich Smallest giantic prime
  re-certified via Primo
364 109999 − 11333   9999 Feb 2021 Robert Gelhar -
365 1654504 + 4504165   9988 Jul 2021 Oliver Kruse Leyland plus-form
366 17813070 + 30701781   9980 Jul 2021 Oliver Kruse Leyland plus-form
367 711796 + 117967   9969 Mar 2012 Richard Dickerson Leyland plus-form
368 (241365 + 1) / (28273 + 1) / 11   9961 Feb 2020 Anonymous Wagstaff cofactor
369 See complete expression   9952 Aug 2020 Serge Batalov -
370 416514 + 3   9943 Feb 2024 Tengfei Wang Dual Williams prime
371 M(35737) / M(2749) / M(13)   9927 Jan 2020 Anonymous Mersenne cofactor
372 (19 • 109909 + 593) / 63   9909 Jun 2024 Alfred Reich -
373 320746 − 2   9899 Aug 2015 Frank Schickel Dual Williams prime
374 (19 • 109892 +359) / 27261   9889 Jun 2024 Alfred Reich -
375 (109893 + 7) / 6100427   9887 Jul 2019 Alfred Reich -
376 Φ(21148,10) / ​45666649764820374459170799717852031321   9883 Jul 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(21148)
377 (19 • 109885 − 73) / 713739951   9878 Jun 2024 Alfred Reich -
378 Φ(4575,13117) / 12217779064071806064220724881552951   9849 Jun 2024 Tom Wu Part of BLS primality proof of
  (131179151 − 1) / 13116
379 15683081 + 30811568   9845 Jul 2021 Oliver Kruse Leyland plus-form
380 (19 • 109839 + 107) / 2871   9837 Jun 2024 Alfred Reich -
381 (19 • 109830 − 91) / 19791   9827 Nov 2022 Alfred Reich -
382 12563171 + 31711256   9827 Jul 2021 Oliver Kruse Leyland plus-form
383 (19 • 109827 + 611) / 49383   9824 Jun 2024 Alfred Reich -
384 (8 • 109812 + 1) / 9   9812 Aug 2011 Markus Tervooren Near repdigit
385 11823185 + 31851182   9787 Jul 2021 Oliver Kruse Leyland plus-form
386 M(32531) / 1641222175081417   9778 Sep 2012 Youcef Lemsafer Mersenne cofactor
387 (19 • 109765 − 91) / 59499   9762 Nov 2022 Alfred Reich -
388 (109771 + 3) / 1085352492397   9759 May 2019 Alfred Reich -
389 715270 + 175270 + 3   9757 Mar 2020 Robert Gelhar -
390 (19 • 109757 − 91) / 88973127714315781233   9739 Jan 2023 Alfred Reich -
391 M(32611) /  
1514800731246429921091778748731899943932296901864652928732838910515860494755367311  		 9736 Jul 2018 Serge Batalov Mersenne cofactor
392 (232369 + 1) / 2925639699   9735 Jul 2019 Dylan Delgado Wagstaff cofactor
393 (19 • 109735 + 737) / 12717   9733 Jun 2024 Alfred Reich -
394 (19 • 109737 + 719) / 75927861   9731 Jun 2024 Alfred Reich -
395 Φ(19498,10) / ​1101686465944145927   9730 Jul 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(19498)
396 (232377 + 1) / 2420521622843587873017149019102968542017   9708 Jul 2019 Dylan Delgado Wagstaff cofactor
397 (19 • 109701 − 73) / 77298343045960041   9686 Jun 2024 Alfred Reich -
398 (19 • 109673 + 161) / 1053   9672 Jun 2024 Alfred Reich -
399 Φ(19472,10) / 1274145536668918929792263564476755419924398647986993990507235313   9665 Jul 2023 Alfred Reich Cyclotomic polynomial cofactor
  of R(19472)
400 1214638 − 4638121   9660 Oct 2023 Tengfei Wang Leyland minus-form
401 (109664 + 7) / 964073303341887456654835974225343680123715736108858219   9611 Jul 2020 Alfred Reich -
402 Lucas(45953) / 4561241750239   9591 Mar 2012 Larry Soule; Predrag Minovic Lucas cofactor
403 (19 • 109585 + 449) / 9   9586 Jun 2024 Alfred Reich -
404 15632996 + 29961563   9570 Sep 2017 Richard Dickerson Leyland plus-form
405 20352892 + 28922035   9569 Sep 2017 Richard Dickerson Leyland plus-form
406 M(32551) / M(757) / M(43) / 585919   9553 Jun 2022 Will Edgington Mersenne cofactor
407 (109584 + 3) / 839195807458860335859628417958089   9552 May 2019 Alfred Reich -
408 10053178 + 31781005   9541 Jul 2021 Oliver Kruse Leyland plus-form
409 2523967 − 3967252   9527 Nov 2023 Tengfei Wang Leyland minus-form
410 E(3308) / 39308792292493140803643373186476368389461245   9516 Jun 2014 David Broadhurst; Bouk de Water Euler irregular
411 Φ(20644,10)   9505 Dec 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(20644)
412 231544 + 19081   9496 May 2012 Ivan Panchenko -
413 (231601 + 1) / 1485259667656431321   9495 Jul 2019 Dylan Delgado -
414 26402771 + 27712640   9482 Jan 2016 Richard Dickerson Leyland plus-form
415 25602779 + 27792560   9472 Jan 2016 Richard Dickerson Leyland plus-form
416 (79 • 1214545 − 1) / 6   9468 Apr 2018 Dennis Sydekum -
417 3153784 + 3784315   9454 Jul 2021 Oliver Kruse Leyland plus-form
418 See complete expression   9453 Oct 2023 Alfred Reich Cyclotomic polynomial cofactor of
  R(29382)
419 3153782 + 3782315   9449 Jul 2021 Oliver Kruse Leyland plus-form
420 (19 • 109432 − 73) / 29248838887212027   9417 Jun 2024 Alfred Reich -
421 (19 • 109420 + 773) / 19638051717439496545083   9399 Jun 2024 Alfred Reich -
422 10783099 + 30991078   9399 Jul 2021 Oliver Kruse Leyland plus-form
423 (233167 + 1) / (21951 + 1) / 11592838867   9387 Jan 2020 Anonymous Wagstaff cofactor
424 Fib(49313) / Fib(4483) / 26333053   9362 Mar 2017 Jonathan A. Zylstra Fibonacci cofactor
425 &Phi(70740 [C-D] ,10)   9361 Jul 2015 Maksym Voznyy Cyclotomic polynomial cofactor of
  R(70740)
426 379 • 109318 + 9   9321 Jan 2025 Jason Yuen -
427 16712890 + 28901671   9315 Aug 2017 Richard Dickerson Leyland plus-form
428 (19 • 109303 + 233) / 477   9302 Jun 2024 Alfred Reich -
429 Lucas(44507)   9302 May 2017 Jonathan A. Zylstra Lucas number
430 705041 + 71140   9302 Jul 2021 Oliver Kruse -
431 148115 − 811514   9301 Oct 2023 Tengfei Wang Leyland minus-form
432 8883151 − 3151888   9291 Dec 2023 Tengfei Wang Leyland minus-form
433 (19 • 109290 + 791) / 117   9290 Jun 2024 Alfred Reich -
434 (19 • 109260 + 773) / 24965206284135720119751685856774259   9227 Jun 2024 Alfred Reich -
435 24452722 + 27222445   9223 Jan 2016 Richard Dickerson Leyland plus-form
436 22002759 + 27592200   9222 Jan 2016 Richard Dickerson Leyland plus-form
437 (109240 + 7) / 3774896489708919206291732878054783   9207 May 2019 Alfred Reich -
438 3033710 + 3710303   9207 Jul 2021 Oliver Kruse Leyland plus-form
439 Lucas(43987) / 175949   9188 May 2014 David Broadhurst; Bouk de Water Lucas cofactor
440 (109206 + 7) / 688048921992466924229853435833   9177 Jun 2019 Alfred Reich -
441 319217 − 2   9169 Jul 2015 Frank Schickel Dual Williams prime
442 24512696 + 26962451   9138 May 2015 Richard Dickerson Leyland plus-form
443 p(67230446)   9126 Mar 2012 Richard Dickerson Partitions
444 See complete expression   9124 May 2022 Serge Batalov Mersenne cofactor of M(33511)
445 26582659 + 26592658   9106 Nov 2021 Oliver Kruse Leyland plus-form
446 (19 • 109082 + 413) / 9   9083 Jul 2024 Alfred Reich -
447 21972716 + 27162197   9077 Dec 2021 Oliver Kruse Leyland plus-form
448 (19 • 109083 + 107) / 1342008931131   9073 Jun 2024 Alfred Reich -
449 (341 • 109065 − 71) / 9   9067 Feb 2024 Martin J. Weiss -
450 (235147 + 1) / (25021 + 1) / 59023130377   9059 Dec 2019 Anonymous Wagstaff cofactor
451 (109076 + 7) / 24950192569182005996168561   9051 Jun 2019 Alfred Reich -
452 (109094 + 7) / 8489726252769008928210183216883736569138799459   9049 Jun 2019 Alfred Reich -
453 See complete expression   9048 Jul 2019 Serge Batalov -
454 (145 • 229996 − 1) / 264953075691   9021 Nov 2016 Jared M. Polzer -
455 23192680 + 26802319   9020 Nov 2021 Oliver Kruse Leyland plus-form
456 Fib(43399) / 470400609575881344601538056264109423291827366228494341196421   9010 Sep 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
457 (23772667 − 26672377) / 58   9003 Sep 2019 Geoffrey Yeung Leyland minus-form cofactor
458 (109002 − 1) / 9 − 10480   9002 Mar 2023 Tengfei Wang Near repunit
459 See complete expression   9000 May 2018 Edwin Hall -
460 (109000 − 1) / 9 − 10417   9000 Feb 2023 Tengfei Wang Near repunit
461 (109000 − 1) / 9 − 102917   9000 Sep 2023 U.N.Owen Near repunit
462 108999 + 13215873   9000 Jun 2021 Robert Gelhar Smallest 9000-digit twin prime
463 108999 + 13215871   9000 Jun 2021 Robert Gelhar Smallest 9000-digit twin prime
464 108999 + 3541   9000 Jun 2021 Robert Gelhar Smallest 9000-digit prime
465 379 • 108984 + 9   8987 Dec 2024 Jason Yuen -
466 (230907 + 1) / (2997 + 1) / 42859523044179292792213494693982721   8970 Dec 2019 Anonymous -
467 Φ(26982,10) / 11907299538316246497415769818288592371   8951 Jun 2015 Maksym Voznyy Cyclotomic polynomial cofactor of
  R(26982)
468 229727 + 20273   8949 May 2012 Ivan Panchenko -
469 16322779 + 27791632   8929 Jan 2016 Richard Dickerson Leyland plus-form
470 (19 • 108929 + 503) / 693   8928 Jun 2024 Alfred Reich -
471 (19 • 108941 − 37) / 2056436134208397   8927 Jun 2024 Alfred Reich -
472 primU(44113)   8916 Apr 2014 David Broadhurst; Bouk de Water Fibonacci primitive part
473 Fib(42829) / 107130175995197969243646842778153077   8916 Apr 2014 David Broadhurst; Bouk de Water Fibonacci number cofactor
474 (108911 + 7) / 106949069752220901578580747713983   8879 May 2019 Alfred Reich -
475 20532680 + 26802053   8878 Dec 2015 Richard Dickerson Leyland plus-form
476 (19 • 108877 + 791) / 359019   8873 Jun 2024 Alfred Reich -
477 7123107 + 3107712   8863 Jul 2021 Oliver Kruse Leyland plus-form
478 (19 • 108844 + 341) / 9   8845 Jul 2024 Alfred Reich -
479 (19 • 108856 − 91) / 1260316013443551   8843 Dec 2022 Alfred Reich -
480 5533222 + 3222553   8838 Jul 2021 Oliver Kruse Leyland plus-form
481 229355 + 293552   8837 Sep 2012 Andrey V. Kulsha Leyland plus-form
482 M(29473) / 139640239316440423720389373549494109943   8835 Sep 2012 David Metcalfe Mersenne cofactor
483 (229437 + 1) / 85458319381840924489296618274137   8830 Nov 2018 Anand S Nair Wagstaff cofactor
484 primV(44914)   8828 Apr 2024 Matteo D'Aniello Lucas primitive part
485 (415486 + 40) / 8034382267731461503032440850084487   8814 May 2024 Alfred Reich Dual Williams cofactor
486 11362883 + 28831136   8809 Sep 2017 Richard Dickerson Leyland plus-form
487 (108839 + 7) / 2921645850231053827524861183061   8809 Jul 2019 Alfred Reich -
488 23482613 + 26132348   8808 Jun 2015 Richard Dickerson Leyland plus-form
489 19042685 + 26851904   8806 May 2015 Richard Dickerson Leyland plus-form
490 12892826 + 28261289   8790 Aug 2017 Richard Dickerson Leyland plus-form
491 (19 • 108802 − 37) / 85824491234507973    8787 Jun 2024 Alfred Reich -
492 Fib(42043) / 1681721   8780 Jan 2012 Larry Soule; Predrag Minovic Fibonacci cofactor
493 714716 + 471671   8731 Aug 2019 Dylan Delgado Leyland plus-form
494 21292622 + 26222129   8727 Dec 2015 Richard Dickerson Leyland plus-form
495 (229027 + 1) / 478164532867998705699   8718 Oct 2018 Anand S Nair Wagstaff cofactor
496 3 • (229441 + 1) / (2499 + 1) / (259 + 1)   8696 Dec 2019 Anonymous Wagstaff cofactor
497 (108708 + 7) / 2307119749003201816349   8687 May 2019 Alfred Reich -
498 (914421 − 1) / 90   8659 May 2020 Robert Gelhar Generalized repunit
499 (19 • 108655 + 287) / 207   8654 Oct 2021 Alfred Reich -
500 M(28771) / 104726441   8653 Jun 2012 Larry Soule; Predrag Minovic Mersenne cofactor
501 M(28759) / 226160777   8649 Sep 2012 Youcef Lemsafer Mersenne cofactor
502 Φ(36630,10)   8641 Feb 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(36630)
503 (19 • 108629 + 683) / 9   8630 Jun 2024 Alfred Reich -
504 Φ(30744,10) / ​547933679497   8629 Jun 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(30744)
505 (108658 + 7) / 4339830274468560950273475329301323   8625 Jun 2019 Alfred Reich -
506 See complete expression   8614 Jul 2018 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(23290)
507 17022665 + 26651702   8611 May 2015 Richard Dickerson Leyland plus-form
508 Φ(18668,10)   8593 Feb 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(18668)
509 (19 • 108587 − 37) / 26148303   8581 Jun 2024 Alfred Reich -
510 See complete expression   8575 Oct 2011 Anonymous -
511 See complete expression   8574 Jan 2024 Anonymous Mersenne cofactor of M(36127)
512 (108591 + 7) / 1572804278963514505019413   8567 Jun 2019 Alfred Reich -
513 Φ(25722,10) / ​77167   8564 Jun 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(25722)
514 415298 + 145298 + 2   8545 Mar 2020 Robert Gelhar -
515 B(40850)   8541 Apr 2018 Jared M. Polzer Brady number
516 (108555 + 7) / 2055629930687439450115007   8531 Jun 2019 Alfred Reich -
517 (25212521 + 25202520) / 30494403934443087995870273408919980828188816057   8529 Dec 2012 Richard Dickerson Lifchitz plus-form cofactor
518 Fib(40763) / 643247084652261620737   8498 Nov 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
519 18672596 + 25961867   8492 Dec 2015 Richard Dickerson Leyland plus-form
520 24242495 + 24952424   8445 Jun 2017 Richard Dickerson Leyland plus-form
521 B(40313)   8429 Apr 2018 Jared M. Polzer Brady number
522 M(28381) / M(281) / M(101) / 44274361   8421 Apr 2021 Will Edgington Mersenne cofactor
523 (107 • 227929 − 1) / 21   8409 Jun 2024 Alfed Reich -
524 (108443 + 1) / 49968217602794509828532608066556122847   8406 Jul 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(16886)
525 24322481 + 24812432   8401 Jul 2017 Richard Dickerson Leyland plus-form
526 primU(46711)   8367 Oct 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
527 20312528 + 25282031   8362 Jun 2017 Richard Dickerson Leyland plus-form
528 Φ(16815,10) / ​1015928671   8343 Jun 2015 Maksym Voznyy Repunit cofactor of R(16815)
529 (19 • 375310 + 1) / 4   8328 Mar 2018 Dennis Sydekum -
530 M(34585) / M(6917) / M(5)   8328 Nov 2019 Anonymous Mersenne cofactor
531 See complete expression   8312 Apr 2020 Alfred Reich -
532 (24542454 + 24532453) / 52030091043857   8306 Nov 2012 Richard Dickerson Lifchitz plus-form cofactor
533 9162803 + 2803916   8303 Aug 2017 Richard Dickerson Leyland plus-form
534 Lucas(39769) / 18139109172816581   8295 Nov 2013 David Broadhurst; Bouk de Water Lucas cofactor
535 604663 − 594663   8292 May 2020 Robert Gelhar Oakes number
536 20170108 • 108283 + 39   8291 Oct 2015 Peter Kaiser -
537 903445893 • 610628 + 5   8280 Oct 2013 Serge Batalov Part of a prime triplet
538 Lucas(39607) / 158429   8273 Dec 2011 Bernardo Boncompagni Lucas cofactor
539 (108286 + 3) / 645296960632812487   8269 May 2019 Alfred Reich -
540 68 • (108264 − 1) / 99 − 1   8264 Sep 2020 Robert Gelhar -
541 Φ(10703,10) / ​19187781833404031   8264 May 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(10703)
542 See complete expression   8259 Jun 2019 Will Edgington Wagstaff cofactor
543 8362823 + 2823836   8250 Aug 2017 Richard Dickerson Leyland plus-form
544 Φ(24792,10) / ​133631136073   8245 May 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(24792)
545 108239 − 8 • 108026 − 3   8239 Feb 2022 Ray Chandler -
546 (108248 + 7) / 912402062635530228013600567   8222 Apr 2020 Alfred Reich -
547 19 • (108210 − 37) / 81   8210 Jun 2024 Alfred Reich -
548 (108235 + 3) / 633967301273017126240803413322378221077   8197 May 2019 Alfred Reich -
549 5552986 − 2986555   8195 Oct 2023 Tengfei Wang Leyland minus-form
550 (30852351 − 1) / 45252716055747420588   8184 Nov 2011 Anonymous Generalized repunit cofactor
551 primU(62373)   8173 Oct 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
552 See complete expression   8166 May 2015 Jared M. Polzer Mersenne cofactor of M(51375)
553 (108209 − 1) / 387027639720180030671334569044632439433106097191   8162 Aug 2023 Alfred Reich Repunit cofactor
554 (24132413 + 24122412) / 6458645951   8153 Dec 2012 Richard Dickerson Lifchitz plus-form cofactor
555 (108165 + 7) / 153665893445225269   8148 Jul 2019 Alfred Reich -
556 20942453 + 24532094   8147 Jul 2017 Richard Dickerson Leyland plus-form
557 (19 • 108146 + 503) / 9   8147 Jul 2024 Alfred Reich -
558 18582489 + 24891858   8137 Jul 2017 Richard Dickerson Leyland plus-form
559 4833028 + 3028483   8127 Sep 2018 Anonymous Leyland plus-form
560 Φ(1887, − 11758041) / 143966737875384936289   8125 Jul 2009 Andrew A. D. Steward -
561 16472518 + 25181647   8100 Jul 2021 Oliver Kruse Leyland plus-form
562 M(28481) / M(1499) / 57795580141067427676103   8100 Nov 2021 Will Edgington Mersenne cofactor
563 (2 • 108088 − 11) / 9   8088 Dec 2020 Anonymous Near repdigit
564 (19 • 108069 + 539) / 9   8070 Jun 2024 Alfred Reich -
565 1973514 + 3514197   8063 Jul 2021 Oliver Kruse Leyland plus-form
566 M(26903) / 1113285395642134415541632833178044793   8063 Dec 2011 Alexander Gramolin Mersenne cofactor
567 (12752593 − 1) / 1274   8050 Apr 2019 Richard Dickerson Generalized repunit cofactor
568 M(29557) / M(2687) / 2551723989369899135276396114560274078129   8050 Mar 2022 Will Edgington Mersenne cofactor
569 19952438 + 24381995   8046 Jul 2021 Oliver Kruse Leyland plus-form
570 (19 • 108041 − 37) / 9   8042 Nov 2023 Alfred Reich -
571 M(29579) / M(2689) / 495557404683721214919524583128095295252776566709847213932561   8036 Apr 2022 Will Edgington Mersenne cofactor
572 (108043 + 7) / 14710149989   8033 Jun 2019 Alfred Reich -
573 79500 + 6   8029 Oct 2023 Alfred Reich Dual Williams prime
574 (19 • 108038 − 37) / 173238212493   8029 Jul 2024 Alfred Reich -
575 See complete expression   8022 May 2020 Serge Batalov Cyclotomic polynomial cofactor of
  (543200 − 1) / 4
576 108020 − 8 • 103878 − 3   8020 Feb 2022 Ray Chandler -
577 117699 − 107699   8018 Feb 2018 Ray Chandler Oakes number
578 (88 • 108012 + 101) / 9   8013 Nov 2016 Jared M. Polzer -
579 See complete expression   8012 Apr 2014 Anonymous -
580 p(51831641)   8012 Sep 2012 Larry Soule; Predrag Minovic Partitions
581 17422471 − 24711742   8009 Nov 2020 Anonymous Leyland minus-form
582 108007 + 21   8008 Nov 2022 Nathan Pakaran -
583 (108004 + 72) / 8   8004 Sep 2023 U.N.Owen -
584 (108004 − 1) / 9 − 1051   8004 Feb 2023 Tengfei Wang Near repunit
585 (108001 − 1) / 9 − 102533   8001 May 2023 Tengfei Wang Near repunit
586 (156803 − 46803) / 11   8000 Feb 2018 Ray Chandler -
587 See complete expression   8000 Mar 2018 Edwin Hall Leyland minus-form cofactor
588 (57272131 + 1) / 952102432   8000 Jan 2021 Anonymous -
589 (108000 − 1) / 9 − 10938   8000 Feb 2023 Tengfei Wang Near repunit
590 107999 + 59692204797   8000 Jul 2023 Norman Luhn Part of smallest
  8000-digit prime triplet
591 107999 + 439617141   8000 Jun 2021 Robert Gelhar Part of smallest
  8000-digit prime twin
592 107999 + 439617139   8000 Jun 2021 Robert Gelhar Part of smallest
  8000-digit prime twin
593 107999 + 35887   8000 Jun 2021 Robert Gelhar Smallest 8000-digit prime
594 (19 • 107993 + 197) / 9   7994 Jul 2024 Alfred Reich -
595 6662831 + 2831666   7994 Aug 2017 Richard Dickerson Leyland plus-form
596 (166637 + 56637) / 21   7991 Feb 2018 Ray Chandler -
597 (35 • 107982 − 521) / 9   7983 Apr 2019 Alfred Reich -
598 10942625 + 26251094   7978 Dec 2015 Richard Dickerson Leyland plus-form
599 614468 + 446861   7977 Jan 2013 Youcef Lemsafer Leyland plus-form
600 primU(43121)   7975 Aug 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
601 See complete expression   7963 Jul 2019 Serge Batalov -
602 (61 • 107959 − 133) / 9   7960 Apr 2019 Alfred Reich -
603 6 • Bern(3458) / 28329084584758278770932715893606309   7945 Feb 2013 David Broadhurst; Bouk de Water Irregular
604 413175 − 3   7933 Jul 2012 Frank Schickel Dual Williams prime
605 (107949 + 7) / 871923742919802447415612982689   7920 Jun 2019 Alfred Reich -
606 574507 − 564507   7914 Jan 2018 Ray Chandler Oakes number
607 101918 • (106660 + 9 − 10667) / (9 • 10666 − 9) + 1   7912 Sep 2025 Jason Yuen -
608 610163 − 101636   7909 Sep 2023 Tengfei Wang Leyland minus-form
609 Fib(37987) / 1832721858208455887947958246414213   7906 Sep 2012 Predrag Minovic Fibonacci cofactor
610 (19 • 107886 − 37) / 113698647   7880 May 2023 Alfred Reich -
611 p(50001890)   7869 Sep 2012 Bernardo Boncompagni Partitions
612 (107907 + 7) / 1114497964121333572948008178967784389151991   7865 Jul 2019 Alfred Reich -
613 11342573 + 25731134   7860 Jun 2017 Richard Dickerson Leyland plus-form
614 (107914 + 7) / 1396957215538716377069512578547816287966354283978705678029668659   7851 Jun 2019 Alfred Reich -
615 Φ(15728,10) / ​471841   7851 May 2015 Maksym Voznyy Repunit cofactor of R(15728)
616 primB(145545)   7824 Sep 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
617 (107847 + 7) / 577154762758672603543575847071689   7815 Jul 2020 Alfred Reich -
618 primV(56058)   7810 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part
619 (23 • 79235 − 11) / 6   7806 Apr 2022 Anonymous -
620 Lucas(37357) / 20210113386303842894568629   7782 Sep 2013 David Broadhurst; Bouk de Water Lucas cofactor
621 101788 • (106660 + 9 − 10667) / (9 • 10666 − 9) + 1   7782 Sep 2025 Jason Yuen -
622 Φ(12351,10) / 4205587422795313292495254549784912010905401815117045167041   7775 May 2015 Maksym Voznyy Repunit cofactor of R(12351)
623 Fib(37217) / 4466041   7771 Sep 2012 Bernardo Boncompagni Fibonacci cofactor
624 Φ(31590,10) / 143671321   7768 May 2015 Maksym Voznyy Repunit cofactor of R(31590)
625 (156599 + 26599) / 17   7760 Jan 2018 Ray Chandler -
626 (6832741 + 1) / 3043346368764276   7754 Oct 2011 Anonymous Generalized Wagstaff cofactor
627 M(25933) / 7509131206200733798686591313477116352684279376232375492756406796303   7740 Dec 2016 Jared M. Polzer Mersenne cofactor
628 Φ(15472,10) / ​15473   7724 May 2015 Maksym Voznyy Repunit cofactor of R(15472)
629 1013853 − 1003853   7723 Jan 2018 Ray Chandler Oakes number
630 17102383 + 23831710   7705 Jan 2015 Richard Dickerson Leyland plus-form
631 Lucas(36779)   7687 Jan 2017 Jonathan A. Zylstra Lucas number
632 107668 + 3   7669 Sep 2012 Markus Tervooren -
633 See complete expression   7668 Mar 2013 David Broadhurst; Bouk de Water -
634 primV(1624,− 1,2542) / 199516573522119490120154829286218330881   7668 Nov 2018 Serge Batalov Generalized Lucas primitive part
  cofactor
635 Φ(15934,10) / ​11704415147245823888273929   7655 May 2015 Maksym Voznyy Repunit cofactor of R(15934)
636 (19 • 107654 + 629) / 9   7655 Jul 2024 Alfred Reich -
637 (510949 − 1) / 4   7653 Jan 2018 Ray Chandler Generalized repunit
638 12492470 + 24701249   7649 Jul 2017 Richard Dickerson Leyland plus-form
639 12742463 + 24631274   7649 Jul 2017 Richard Dickerson Leyland plus-form
640 Φ(15332;comma;10) / ​275079177767470481   7647 Apr 2015 Maksym Voznyy Repunit cofactor of R(15332)
641 Lucas(36536) / 47   7634 Aug 2013 David Broadhurst; Bouk de Water Lucas cofactor
642 (2575! + 1) / 1822957061106092148747592420955933   7634 Apr 2021 Anonymous Factorial cofactor
643 17722349 + 23491772   7631 Jan 2015 Richard Dickerson Leyland plus-form
644 9742553 + 2553974   7630 Jun 2017 Richard Dickerson Leyland plus-form
645 Φ(23094,10) /  189493210241259527321974955122387292562485369077137155904951276518998525825074289   7612 Jul 2018 Maksym Voznyy Repunit cofactor of R(23094)
646 (136829 + 56829) / 18   7606 Dec 2017 Ray Chandler -
647 11882473 + 24731188   7605 Jul 2017 Richard Dickerson Leyland plus-form
648 (19 • 107607 − 37) / 192263988817251   7594 Jun 2024 Alfred Reich -
649 (97949 + 47949) / 13   7585 Dec 2017 Ray Chandler -
650 (19 • 107598 − 91) / 56919919871061230913   7580 Dec 2022 Alfred Reich -
651 (232 • 107573 − 7) / 9   7575 Nov 2021 Anonymous -
652 2546
( ∑ n! ) / 99  
n=1  		 7566 Mar 2018 Oliver Kruse Sum factorial cofactor
653 90568041 • 225077 − 4501   7557 Nov 2013 Pierre Cami Part of CPAP-3; d = 4500
654 90568041 • 225077 − 9001   7557 Nov 2013 Pierre Cami Part of CPAP-3; d = 4500
655 (22662266 + 22652265) / 869635232777587156218059188587157144905207685987   7556 Jul 2013 Richard Dickerson Lifchitz plus-form cofactor
656 M(25243) / 1970147591084230937377310265007480335495455926417   7551 Dec 2016 Paul Underwood Mersenne cofactor
657 97900 − 79009   7539 Sep 2023 Tengfei Wang Leyland minus-form
658 49787793 • 225003 + 23267   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 11634
659 49787793 • 225003 + 11633   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 11634
660 368523657 • 225000 − 7081   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7080
661 368523657 • 225000 − 14161   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7080
662 122248047 • 225001 − 7831   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7830
663 122248047 • 225001 − 15661   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7830
664 192335307 • 225000 + 5129   7535 Sep 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 5130
665 192335307 • 225000 − 5131   7535 Sep 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 5130
666 19852284 + 22841985   7533 Jan 2015 Richard Dickerson Leyland plus-form
667 27373825 • (52322162 + 1) / (523294+1) / (523246 + 1)   7527 Jun 2023 Richard G -
668 2113238 + 3238211   7527 Feb 2013 Youcef Lemsafer Leyland plus-form
669 6312 • (63112077 + 1) / (631167 + 1) / (631131 + 1)   7525 Jun 2023 Richard G. -
670 (107520 − 1) / 9 − 10396   7520 Mar 2023 Tengfei Wang Near repunit
671 (107520 − 1) / 9 − 10889   7520 Mar 2023 Tengfei Wang Near repunit
672 107510 − 5 • 103785 − 3   7510 Feb 2022 Ray Chandler -
673 (88317 + 78317) / 15   7510 Dec 2017 Ray Chandler -
674 2353167 − 2343167   7510 Sep 2019 Geoffrey Yeung Oakes number
675 (107505 − 1) / 9 − 101475   7505 Feb 2023 Tengfei Wang Near repunit
676 (107502 − 1) / 9 − 106000   7502 Feb 2023 Tengfei Wang Near repunit
677 See complete expression   7499 Jun 2024 Alex Kruppa Mersenne cofactor of M(41481)
678 Φ(24174,10)   7488 Feb 2012 Ray Chandler -
679 M(28973) / M(4139) / M(7)   7474 Nov 2019 Anonymous Mersenne cofactor
680 17383# / 5# + 307200   7473 Oct 2013 Dana Jacobsen Part of proven prime gap; d = 384902
681 17383# / 5# - 77702   7473 Oct 2013 Dana Jacobsen Part of proven prime gap; d = 384902
682 (19 • 107466 + 161) / 9   7467 Jun 2024 Alfred Reich -
683 (19 • 107464 − 37) / 9   7465 Jun 2022 Alfred Reich -
684 2113207 + 210   7454 Nov 2023 Alfred Reich Dual Williams prime
685 (117151 + 57151) / 16   7446 Dec 2017 Ray Chandler -
686 M(31105) / M(6221) / 3420629618819649442922856047138672116778344043281   7443 Apr 2022 Will Edgington Mersenne cofactor
687 (19 • 107428 + 467) / 27   7428 Jun 2024 Alfred Reich -
688 20002249 − 22492000   7425 Nov 2023 Tengfei Wang Leyland minus-form
689 19872250 − 22501987   7421 Nov 2023 Tengfei Wang Leyland minus-form
690 21342229 − 22292134   7421 Nov 2023 Tengfei Wang Leyland minus-form
691 185909 − 590918   7418 Oct 2023 Tengfei Wang Leyland minus-form
692 21302227 − 22272130   7413 Oct 2023 Tengfei Wang Leyland minus-form
693 13632362 + 23621363   7404 Jan 2013 Youcef Lemsafer Leyland plus-form
694 See complete expression   7400 Jun 2019 Luke W. Richards -
695 Φ(59340 [C+D] ,10)   7393 Apr 2015 Maksym Voznyy Repunit cofactor of R(59340)
696 (2505! + 1) / 14710497940601040326627992468585620487   7392 Apr 2021 Anonymous Factorial cofactor
697 (224746 + 212373 + 1) /  
58305854117408409487051503011082595130128879501833462550759991100000001399058265  		 7389 Jun 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(74238)
698 Φ(7597,10) / 33805865174239540227567583070254786751201   7380 Mar 2015 Maksym Voznyy Repunit cofactor of R(7597)
699 See complete expression   7378 Nov 2019 Anonymous Mersenne cofactor of M(43281)
700 (434517 + 1) / 44   7377 Nov 2017 Ray Chandler Generalized Wagstaff
701 (35 • 107362 − 53) / 9   7363 Dec 2020 Maksym Voznyy -
702 20472222 − 22222047   7358 Oct 2023 Tengfei Wang Leyland minus-form
703 (48002003 − 1) / 21173506801296313319759   7352 Jan 2012 Anonymous Generalized repunit cofactor
704 R(7871) / R(463) / R(17) / 519894821582622551617789763504983559487853   7351 Sep 2023 Alfred Reich Repunit cofactor
705 235387 − 225387   7336 Aug 2017 Ray Chandler Oakes number
706 2143147 + 3147214   7334 Aug 2019 Dylan Delgado Leyland plus-form
707 Φ(13905,10) / 27842676751   7334 Jan 2011 Tyler Cadigan; Erik Branger;
  Serge Batalov		 Repunit cofactor of R(13905)
708 19 • (107334 − 73) / 40007560889079   7322 Jun 2022 Alfred Reich -
709 Lucas(35107) / 525110138418084707309   7317 Sep 2013 David Broadhurst; Bouk de Water Lucas cofactor
710 215533 + 125533 − 4   7316 Mar 2020 Robert Gelhar -
711 (107338 + 3) / 73477406337935291661877   7316 May 2019 Alfred Reich -
712 primA(161595)   7313 Sep 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
713 (19 • 107323 − 91) / 61740619280758646811783387   7299 Dec 2022 Alfred Reich -
714 (19 • 107307 − 37) / 1826009674232161930037019   7285 Jun 2024 Alfred Reich -
715 See complete expression   7283 Nov 2019 Anonymous Wagstaff cofactor
716 (65 • 107276 + 43) / 9   7277 Dec 2020 Maksym Voznyy -
717 Φ(21858,10) / 86960501173   7276 Mar 2015 Maksym Voznyy Repunit cofactor of R(21858)
718 (107350 + 7) /  
29495606951985839674583903557445155443130918998167802152312517829085201474269  		 7274 Jun 2019 Alfred Reich -
719 Fib(34897) / 4599458691503517435329   7272 Aug 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
720 69335 − 5   7265 Mar 2012 Frank Schickel Dual Williams number
721 Lucas(34759) / 27112021   7257 Jul 2005 Raffi Chaglassian Lucas cofactor
722 2455
( ∑ n! ) / 99  
n=1  		 7257 Mar 2018 Oliver Kruse Sum factorial cofactor
723 13542317 + 23171354   7256 Jan 2015 Richard Dickerson Leyland plus-form
724 Φ(21786,10) / ​43573   7256 Mar 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(21786)
725 Fib(34807) / 551750980997908879677508732866536453   7239 Jul 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
726 13742305 + 23051374    7234 Jan 2015 Richard Dickerson Leyland plus-form
727 464349 − 454349   7232 Aug 2017 Ray Chandler Oakes number
728 (32 • 107230 − 23) / 9   7231 Dec 2020 Maksym Voznyy -
729 primV(52779)   7223 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part
730 (19 • 107224 − 91) / 1359   7223 Jun 2022 Alfred Reich -
731 (514229 − 1) / 50   7220 May 2020 Robert Gelhar Generalized repunit
732 Fib(34607) / 13088506284255296513   7213 Jul 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
733 (224088 + 1) / 132312993000865342323575550035113436747393   7211 Nov 2019 Anonymous -
734 (224853 − 1) / (2857 − 1) / 80057653377409   7210 Nov 2019 Anonymous Mersenne cofactor
735 Φ(18910,10)   7200 Jan 2013 Ray Chandler Repunit cofactor of R(18910)
736 (4392726 + 6) / 419833   7198 Apr 2024 U.N.Owen -
737 9752408 + 2408975   7198 Jan 2015 Richard Dickerson Leyland plus-form
738 (1453331 + 23331) / 147   7198 May 2022 Kevin Thompson -
739 Φ(14408,10) /​ 213275384168953   7186 Aug 2013 Alfred Reich Repunit cofactor of R(14408)
740 8912432 + 2432891   7175 Jul 2021 Oliver Kruse Leyland plus-form
741 primV(37193)   7173 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part
742 Φ(16954,10) / ​4698146048735902707099653/​19317754362871679533741980121   7172 Dec 2024 Maksym Voznyy Repunit cofactor of R(16954)
743 (883 • 225339 − 1) / 21   7169 Jul 2018 Dennis Sydekum -
744 Φ(23664,10)   7168 Oct 2009 Ray Chandler Repunit cofactor of R(23664)
745 4772674 + 2674477   7163 Jul 2021 Oliver Kruse Leyland plus-form
746 primB(134415)   7163 May 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
747 20170108 • 107145 + 39   7153 Oct 2015 Peter Kaiser -
748 (224457 − 212229 + 1) / (2661 + 2331 + 1) / 13445566669880869   7148 Nov 2019 Anonymous Cyclotomic polynomial cofactor
  of 248914 + 1
749 (394493 − 1) / 38   7148 Aug 2017 Ray Chandler Generalized repunit
750 p(41197951)   7142 Sep 2012 Larry Soule; Predrag Minovic Partitions
751 See complete expression   7138 Jan 2021 Thomas Ritschel -
752 304831 − 294831   7136 Aug 2017 Ray Chandler Oakes number
753 6222551 + 2551622   7127 Jul 2021 Oliver Kruse Leyland plus-form
754 See complete expression   7117 Nov 2019 Anonymous -
755 See complete expression   7106 Nov 2019 Anonymous -
756 primV(36647)   7067 May 2013 David Broadhurst; Bouk de Water Lucas primitive part
757 534096 + 484096   7063 Apr 2012 Youcef Lemsafer -
758 534096 + 24096   7063 Mar 2012 Youcef Lemsafer -
759 primV(34532)   7063 May 2013 David Broadhurst; Bouk de Water Lucas primitive part
760 Fib(33997) / 8119544695419968014626314520991088099382355441843013   7053 Apr 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
761 See complete expression   7047 Nov 2019 Anonymous Mersenne cofactor of M(31195)
762 p(40100918)   7047 Jun 2011 Bernardo Boncompagni Partitions
763 (107067 + 7) / 758125592247064839112927   7044 Jun 2019 Alfred Reich -
764 See complete expression   7034 Oct 2011 Anonymous Generalized Wagstaff cofactor
765 (175717 + 55717) / 22   7034 Aug 2017 Anonymous -
766 2932850 + 2922849   7031 Nov 2024 Jason Yuen Leyland plus
767 (414404 + 40) /  
60350695092366928815780335638587006683989054391150068558453391099107850642063  		 7026 May 2024 Alfred Reich Dual Williams cofactor
768 (107032 + 7) / 2033417748328019   7017 Jun 2019 Alfred Reich -
769 (14 • 107016 − 41) / 9   7017 Nov 2020 Maksym Voznyy -
770 See complete expression   7016 Nov 2019 Anonymous Cyclotomic polynomial cofactor
  of 270146 + 1
771 primU(48965)   7012 Apr 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
772 See complete expression   7010 Nov 2016 Jared M. Polzer -
773 (8 • 107010 − 71) / 1269   7008 Jan 2017 Jonathan A. Zylstra -
774 (43601641 + 32822180) / 22180 / 49   7008 May 2019 Geoffrey Yeung -
775 See complete expression   7006 Oct 2011 Anonymous -
776 (314705 + 470531) / 136602350912   7006 May 2019 Geoffrey Yeung Leyland plus-form cofactor
777 See complete expression   7006 Sep 2020 Paul S. Vanderveen -
778 (40282113 − 42262014) / 22014 / 120419623   7004 May 2019 Geoffrey Yeung -
779 (107004 − 1) / 9 − 106771   7004 Feb 2023 Tengfei Wang Near repunit
780 (22 • 107002 − 37) / 3   7003 Apr 2018 Oliver Kruse -
781 (107001 − 1) / 9 − 103729   7001 Feb 2023 Tengfei Wang Near repunit
782 p(39576498)   7000 May 2011 Larry Soule; Predrag Minovic Partitions
783 (45401229 + 24582270) / 22270 / 63714089660341   7000 Mar 2018 Edwin Hall -
784 (107000 + 683) / 9   7000 Aug 2023 U.N.Owen -
785 106999 + 151203771   7000 Jun 2021 Robert Gelhar Part of smallest 7000-digit prime twin
786 106999 + 151203769   7000 Jun 2021 Robert Gelhar Part of smallest 7000-digit prime twin
787 106999 + 33187   7000 May 2021 Norman Luhn Smallest 7000-digit prime
788 65537 • (224656+1) / (21072+1) / (2368+1)   6994 Nov 2019 Anonymous -
789 6352494 + 2494635   6991 Jul 2017 Richard Dickerson Leyland plus-form
790 (21042104 + 21032103) / 47   6991 Oct 2012 Richard Dickerson Lifchitz plus-form cofactor
791 (227188 + 1) / (23884 + 1) / 22372070323502955134415617   6990 Nov 2019 Anonymous -
792 9622343 + 2343962   6990 Jan 2015 Richard Dickerson Leyland plus-form
793 See complete expression   6986 Aug 2021 Serge Batalov -
794 See complete expression   6985 Nov 2019 Anonymous Wagstaff cofactor
795 753722 + 372275   6979 Dec 2012 Youcef Lemsafer Leyland plus-form
796 See complete expression   6975 Jun 2012 Anonymous -
797 (97297 + 87297) / 17   6962 Aug 2017 Ray Chandler -
798 See complete expression   6962 Nov 2019 Anonymous -
799 (106982 + 7) / 234851884077949231198379   6959 Jun 2019 Alfred Reich -
800 (78231 + 48231) / 11   6955 Jul 2017 Ray Chandler -
801 6712460 + 2460671   6954 Jul 2017 Richard Dickerson Leyland plus-form
802 (19 • 106970 + 773) / 715467369534808473   6954 Jun 2024 Alfred Reich -
803 (315409 − 1) / (3811 − 1) / 6536890310432543   6950 Aug 2020 Rocke Verser -
804 19 • (106967 − 73) / 150944106707308002933   6949 Jun 2024 Alfred Reich -
805 (223081 + 211541 + 1) / 5   6948 Nov 2019 Anonymous -
806 − 10365630 • Bern(3100) /  
1670366116112864481699585217650438278080436881373643007997602585219667  		 6943 Jan 2021 Thomas Ritschel Irregular
807 V(33353) / 279902102741094707003083072429   6941 May 2013 David Broadhurst; Bouk de Water Lucas cofactor
808 Φ(14582,10) / ​2611268959667064539   6934 Mar 2015 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(14582)
809 Φ(34900 [C+D] ,10) / 22642460708891182427073972175001   6929 Oct 2023 Alfred Reich Cyclotomic polynomial cofactor
  of R(34900)
810 (19 • 106925 + 197) / 9   6926 Jun 2024 Alfred Reich -
811 (19 • 106933 + 107) / 1618813340397   6923 Jun 2024 Alfred Reich -
812 ⌊(π • 107012)⌋ % (106918)   6918 Sep 2013 Dana Jacobsen String in Pi
813 See complete expression   6917 Nov 2019 Anonymous Mersenne cofactor of M(43455)
814 See complete expression   6916 Nov 2019 Anonymous Mersenne cofactor of M(38049)
815 (19 • 106914 + 287) / 243   6913 Jul 2024 Alfred Reich -
816 M(23479) / M(443) / M(53) / 3052271   6913 Nov 2019 Anonymous Mersenne cofactor of M(23479)
817 Φ(19240,10)   6912 Feb 2012 Ray Chandler Cyclotomic polynomial cofactor
  of R(19240)
818 M(24263) / M(1277) / 25442075249   6910 Aug 2019 Will Edgington Mersenne cofactor of M(24263)
819 9232328 + 2328923   6903 Jan 2015 Richard Dickerson Leyland plus-form
820 (78192 + 58192) / 3081724379019134257273143298   6896 Oct 2025 Anonymous - (new)
821 (43 • 222900 − 1) / 3   6895 Apr 2018 Dennis Sydekum -
822 (234401 + 1) / (211467 + 1) / 2087558910291   6892 Oct 2019 Anonymous Generalized Wagstaff cofactor
823 5372522 + 2522537   6885 Jul 2017 Richard Dickerson Leyland plus-form
824 (7 • 106877 − 27 • 103438 − 7) / 9   6877 Nov 2020 Anonymous Near repdigit
825 (122549 • 68818 + 1) / 5   6867 Apr 2018 Edwin Hall -
826 (1293251 + 23251) / 131   6860 May 2022 Kevin Thompson -
827 (106886 + 7) / 113633811387830296970154515359   6857 Jun 2019 Alfred Reich -
828 See complete expression   6849 Aug 2025 Martin Hopf -
829 Φ(18170,10) / 1767137880005589811   6846 Dec 2014 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(18170)
830 (48473931024 + 1) / 2   6846 Feb 2023 Matteo D'Aniello Generalized half-Fermat
831 Φ(20682,10) / 2798692082737973027123183549209   6846 Aug 2013 Alfred Reich Cyclotomic polynomial cofactor
  of R(20682)
832 411366 + 3   6844 Mar 2012 Frank Schickel Dual Williams
833 Φ(10887,10)   6841 May 2005 Raffi Chaglassian Cyclotomic polynomial cofactor
  of R(10887)
834 (873527 + 23527) / 89   6839 May 2022 Kevin Thompson -
835 97166 + 71669   6839 Nov 2010 Andrey V. Kulsha Leyland plus-form
836 (68783 + 58783) / 11   6834 Feb 2017 Ray Chandler -
837 (244951 + 1) / 25   6833 Jul 2017 Ray Chandler Generalized Wagstaff
838 ⌊(√10 • 106831)⌋ % 106831   6831 Jan 2025 Jason Yuen first 6831 digits of √10
839 See complete expression   6831 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 262590 + 1
840 (226551 + 1) / (23793 + 1) / 3718455069228610594056419   6827 Oct 2019 Anonymous Wagstaff cofactor
841 See complete expression   6823 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 266290 + 1
842 (1051061361 − 1) / 1864200403065   6823 Oct 2018 Richard Dickerson Generalized repunit cofactor
843 primU(58773)   6822 Apr 2013 David Broadhurst; Bouk de Water Fibonacci primitive part
844 (19 • 106816 − 73) / 27   6816 Jun 2022 Alfred Reich -
845 18032092 + 20921803   6812 Sep 2012 Andrey V. Kulsha Leyland plus-form
846 primV(33142)   6802 May 2013 David Broadhurst; Bouk de Water Lucas primitive part
847 15767# / 2310 + 147162   6800 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 318876
848 15767# / 2310 − 171714   6800 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 318876
849 15761# / 210 + 198546   6797 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 326404
850 15761# / 210 − 127858   6797 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 326404
851 (73 • 106788 + 89) / 9   6789 Nov 2020 Anonymous -
852 (78011 + 28011) / 9   6770 Jul 2017 Ray Chandler -
853 See complete expression   6764 Mar 2012 Ted Burton -
854 14742133 + 21331474   6759 Sep 2012 Andrey V. Kulsha Leyland plus-form
855 (222483 + 211242 + 1) / 9651623917997   6756 May 2019 Anonymous Cyclotomic polynomial cofactor
  of 244966 + 1
856 See complete expression   6743 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 284330 + 1
857 (223083 + 1) / (2563 + 1) / 93358674556312409508751149713207142593   6742 Oct 2019 Anonymous Generalized Wagstaff cofactor
858 See complete expression   6740 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 279086 + 1
859 257 • (223288 + 1) / (2568 + 1) / (2328 + 1) / 465761   6738 Sep 2019 Will Edgington Proth cofactor
860 (106737 − 97) / 3   6737 Feb 2017 Serge Batalov -
861 106725 − 1000000001   6725 Sep 2025 Anonymous Near repdigit
862 (106733 − 3) / 6253887456762001   6718 Apr 2022 Anonymous -
863 (77933 + 37933) / 10   6704 Jul 2017 Ray Chandler -
864 22582235875 • 222224 + 13   6701 Oct 2019 Gerd Lamprecht Part of sexy prime triplet
865 22582235875 • 222224 + 7   6701 Oct 2019 Gerd Lamprecht Part of sexy prime triplet
866 (19 • 106721 + 773) / 9062651391188862989799   6701 Jul 2024 Alfred Reich -
867 See complete expression   6698 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 267182 + 1
868 16722075 + 20751672   6689 Sep 2012 Andrey V. Kulsha Leyland plus-form
869 See complete expression   6685 Nov 2018 Serge Batalov Part of CHG proof of Generalized
  Lucas number U(1064, − 1065, 8311)
870 (106743 + 7) / 14863466332495969797611135224375193989475653765199677556291621   6682 Jun 2019 Alfred Reich -
871 1962914 + 195   6680 Oct 2023 Alfred Reich Dual Williams
872 5352448 + 2448535   6680 Jul 2017 Richard Dickerson Leyland plus-form
873 See complete expression   6676 May 2019 Anonymous Cyclotomic polynomial cofactor
  of 268226 + 1
874 See complete expression   6676 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 269078 + 1
875 (106729 + 3) / 14559547600622029476183905215000331740787128910418365291   6674 May 2019 Alfred Reich -
876 Fib(32077)/153087505413829037510511957221947361   6669 May 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
877 (19 • 106677 + 287) / 1063976575491   6667 Jul 2024 Alfred Reich -
878 See complete expression   6665 Aug 2019 Will Edgington Mersenne cofactor of M(33909)
879 See complete expression   6663 Nov 2025 Jason Yuen -
880 6622361 + 2361662   6661 Jan 2013 Youcef Lemsafer Leyland plus-form
881 (195209 − 55209) / 14   6660 Jul 2017 Ray Chandler -
882 4142543 + 2543414   6656 Jul 2017 Richard Dickerson Leyland plus-form
883 (106655 − 6 • 104147 − 1) / 3   6655 Jan 2015 Serge Batalov Part of a prime twin
  Near repdigit
884 (106655 − 6 • 104147 − 7) / 3   6655 Jan 2015 Serge Batalov Part of a prime twin
885 See complete expression   6652 Apr 2018 Edwin Hall -
886 Φ(16898,10) /  
814823906115239146435608781127077031373697040944185947532896577230713013096247491  		 6640 Dec 2024 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(16898)
887 6 • Bern(2974) / 19622040971147542470479091157507   6637 Mar 2013 David Broadhurst; Bouk de Water Irregular
888 (106660 − 10667 + 9) • 10641 / (9 • 10666 − 9) + 1   6635 Sep 2025 Jason Yuen -
889 See complete expression   6625 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of M(67854)
890 M(22193) / 273863039317330926278125662736759272602922587295756460195087   6622 Apr 2018 Serge Batalov Mersenne cofactor
891 2982675 + 2675298   6619 Jul 2017 Richard Dickerson Leyland plus-form
892 M(22327) / M(269) / M(83)   6616 Oct 2018 Anonymous Mersenne cofactor
893 Φ(59220 [C-D], 10) / ​23988304621   6614 Nov 2014 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(59220)
894 221961 − 25   6611 Mar 2025 Jason Yuen -
895 (106648 + 7) / 304209266558387244456676872896373826423   6610 Jul 2020 Alfred Reich -
896 (62 • 613698 + 1) / 3   6604 Apr 2018 Dennis Sydekum Williams Primes cofactor
897 7121 • 15319# / 210 + 95668   6600 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 303670
898 7121 • 15319# / 210 − 208002   6600 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 303670
899 (106600 − 1) / 9 − 1026   6600 Feb 2023 Tengfei Wang Near repunit
900 379 • 106595 + 9   6598 Nov 2024 Jason Yuen -
901 See complete expression   6598 Dec 2021 Youcef Lemsafer -
902 primV(50046)   6591 Apr 2013 David Broadhurst; Bouk de Water Lucas primitive part
903 2082843 + 2843208   6591 Oct 2017 Richard Dickerson Leyland plus-form
904 (77793 + 57793) / 12   6585 Jul 2017 Ray Chandler -
905 See complete expression   6584 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 282230 + 1
906 See complete expression   6583 Apr 2018 Edwin Hall -
907 See complete expression   6583 Jul 2019 Serge Batalov Part of BLS proof of Lehmer number
  U(23396,1,6615)+U(23396,1,6614)
908 (106623 + 7) / 22277182204821459414822475234404388371777756088223   6574 Jun 2019 Alfred Reich -
909 See complete expression   6559 Nov 2018 Serge Batalov Part of BLS proof of Lehmer number
  U(13084, − 13085, 6151)
910 (106590 + 7) / 205046428684143227065656872150429   6558 Jul 2020 Alfred Reich -
911 See complete expression   6545 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 265502 + 1
912 (106572 + 7) / 782334190678439520683183800481   6543 Jun 2019 Alfred Reich -
913 (19 • 106548 + 287) / 1153276249941   6538 Jul 2024 Alfred Reich -
914 (19 • 106536 + 539) / 9   6537 Jun 2024 Alfred Reich -
915 See complete expression   6532 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 289310 + 1
916 (106552 + 7) / 140603343167194885797204709   6526 Jun 2019 Alfred Reich -
917 (19 • 106516 + 287) / 5391   6514 Jun 2022 Alfred Reich -
918 (221628 + 1) / 4412129   6505 Oct 2019 Anonymous -
919 primA(123405)   6502 Apr 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
920 (19 • 106521 − 73) / 101239118583762106035221823   6497 Jun 2024 Alfred Reich -
921 (155521 + 45521) / 19   6492 Jul 2017 Ray Chandler -
922 13822067 + 20671382   6492 Jul 2021 Oliver Kruse Leyland plus-form
923 (106548 + 7) / 176130556534185844998374676192215498979421567624706937331781   6489 Jun 2019 Alfred Reich -
924 (19 • 106509 + 287) / 10050172858512444043783720179279   6480 Jul 2024 Alfred Reich -
925 (221613 + 1) / 103598477510408143808118186891   6478 Sep 2018 Anand S Nair Wagstaff cofactor
926 Φ(51300 [C+D],10) / ​513001   6475 Nov 2014 Maksym Voznyy Cyclotomic polynomial cofactor
  of R(51300)
927 See complete expression   6471 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 250302 + 1
928 (19 • 106469 + 647) / 243   6468 Jun 2024 Alfred Reich -
929 135794 − 12   6455 Oct 2023 Tengfei Wang Dual Williams
930 5962325 + 2325596   6453 Feb 2013 Youcef Lemsafer Leyland plus-form
931 (106499 + 7) / 82978315411247268087379625769952463936618495376059   6450 Jun 2019 Alfred Reich -
932 (83 • 106448 − 11) / 9   6449 Oct 2025 Jason Yuen - (new)
933 (106486 + 3) / 4453798899002925919492911741492193477267   6447 May 2019 Alfred Reich -
934 (19 • 106444 + 539) / 9   6445 Jun 2024 Alfred Reich -
935 (106458 + 1) / 403471822956421   6444 Apr 2013 Alfred Reich -
936 (19 • 106442 + 359) / 117   6442 Jun 2024 Alfred Reich -
937 1592925 + 158   6440 Apr 2024 Dylan Delgado Dual Williams
938 (19 • 106441 + 773) / 74129814369   6432 Jun 2022 Alfred Reich -
939 See complete expression   6430 Apr 2018 Edwin Hall -
940 See complete expression   6428 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 264090 + 1
941 (19 • 106427 + 593) / 27   6427 Jun 2024 Alfred Reich -
942 633571 − 623571   6426 Jul 2017 Ray Chandler Oakes number
943 See complete expression   6425 Jun 2013 David Broadhurst; Bouk de Water Lucas(31547) cofactor
944 See complete expression   6416 Nov 2018 Anonymous Cyclotomic polynomial cofactor
  of 274718 + 1
945 1603353405 • 221282 + 24167   6416 Oct 2013 Anonymous Part of CPAP-3; d = 12084
946 1603353405 • 221282 + 12083   6416 Oct 2013 Predrag Minovic Part of CPAP-3; d = 12084
947 (1382999 + 1372999) / 275   6416 Jun 2017 Ray Chandler -
948 See complete expression   6415 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 265514 + 1
949 (88 • 106407 − 259) / 9   6408 Nov 2020 Masaki UKAI -
950 (37 • 106411 + 17) / 5825763   6406 Oct 2020 Masaki UKAI -
951 (13 • 106405 +71) / 3   6406 Nov 2020 Masaki UKAI -
952 (19 • 106406 + 701) / 189   6406 Jun 2024 Alfred Reich -
953 ((210642 +1)2 +3) / 292   6405 Oct 2019 Anonymous -
954 (106405 − 382) / 6   6405 Nov 2020 Masaki UKAI -
955 (8 • 106404 − 89) / 9   6404 Nov 2020 Masaki UKAI -
956 (26 • 106403 + 67) / 3   6404 Nov 2020 Masaki UKAI -
957 (67 • 106403 +239) / 9   6404 Nov 2020 Masaki UKAI -
958 (58 • 106408 − 31) / 10194147   6403 Oct 2020 Masaki UKAI -
959 (8 • 106415 − 3) / 56694981404831   6403 Oct 2020 Masaki UKAI -
960 2432683 + 242   6401 Apr 2024 Dylan Delgado Dual Williams
961 Fib(30727) / 2281521813578534245193   6400 May 2013 David Broadhurst; Bouk de Water Fibonacci cofactor
962 (77573 − 57573) / 2   6400 Jun 2017 Ray Chandler -
963 (76 • 106398 + 113) / 9   6399 Nov 2020 Masaki UKAI -
964 (86 • 106415 − 23) / 1711357298232410529   6399 Oct 2020 Masaki UKAI -
965 (115 • 106396 − 1) / 3   6398 Nov 2020 Masaki UKAI -
966 (14 • 106398 − 11) / 69   6398 Sep 2020 Masaki UKAI -
967 4183191138 + 418318   6398 Nov 2023 Alfred Reich Dual Williams
968 394021 − 38   6398 Nov 2020 Masaki UKAI Dual Williams
969 (73 • 106398 71) / 2457   6397 Sep 2020 Masaki UKAI -
970 See complete expression   6397 Oct 2019 Anonymous -
971 (11 • 106396 + 349) / 9   6397 Nov 2020 Masaki UKAI -
972 (313418 + 1) / 1610170   6396 Sep 2020 Masaki UKAI -
973 6262287 − 2287626   6396 Nov 2020 Masaki UKAI Leyland minus-form
974 (29 • 106394 + 259) / 9   6395 Sep 2020 Masaki UKAI -
975 (106401 + 7) / 14776043   6394 Jun 2019 Alfred Reich -
976 (106394 + 191) / 3   6394 Nov 2020 Masaki UKAI -
977 (4 • 106397 + 41) / 13311   6394 Sep 2020 Masaki UKAI -
978 (653412 • 341265 + 1) / 7639426886319358247777   6394 Oct 2020 Masaki UKAI Generalized Hyper-Cullen cofactor
979 (206 • 106391 − 17) / 9   6393 Nov 2020 Masaki UKAI -
980 (52 • 1063901 − 583) / 9   6391 Nov 2020 Masaki UKAI -
981 (106399 + 7) / 435483457   6391 Jun 2019 Alfred Reich -
982 7 • 106389 − 9   6390 Sep 2020 Masaki UKAI -
983 (6 • 106395 − 7) / 10751879   6389 Oct 2020 Masaki UKAI -
984 (73 • 106392 +17) / 168291   6389 Oct 2020 Masaki UKAI -
985 8792170 + 2170879   6389 Sep 2012 Andrey V. Kulsha Leyland plus-form
986 (106400 − 85) / 549303586995   6389 Sep 2020 Masaki UKAI -
987 (22 • 106386 + 17) / 3   6387 Sep 2020 Masaki UKAI -
988 (41 • 106386 + 211) / 9   6387 Nov 2020 Masaki UKAI -
989 (106395 + 9) / 246600263   6387 Oct 2020 Masaki UKAI -
990 (41 • 10^6385 − 203) / 9   6386 Nov 2020 Masaki UKAI -
991 89 • 106383 − 7   6385 Nov 2020 Masaki UKAI -
992 (19 • 106387 + 341) / 6741   6385 Jul 2024 Alfred Reich -
993 (19 • 106384 − 1) / 9   6385 Sep 2020 Masaki UKAI -
994 (29 • 106383 + 439) / 9   6384 Nov 2020 Masaki UKAI -
995 See complete expression   6384 Nov 2024 Jason Yuen -
996 (527 • 106379 + 13) / 9   6381 Nov 2020 Masaki UKAI -
997 (21225 • 221226 + 1) / 54435768066251   6381 Oct 2020 Masaki UKAI Near Cullen cofactor
998 (58 • 106379 + 131) / 9   6380 Nov 2020 Masaki UKAI -
999 ((177 • 221222 + 1) / 81546809 + 1) / 2118   6380 Mar 2015 Anonymous -
1000 (14 • 106378 − 83) / 3   6379 Nov 2020 Masaki UKAI -
1001 (14 • 106381 +1) / 8853   6379 Oct 2020 Masaki UKAI -
1002 (21200 • 221199 + 1) / 74853661   6378 Sep 2020 Masaki UKAI Near Cullen cofactor
1003 (106381 − 28) / 1836   6378 Sep 2020 Masaki UKAI -
1004 (4 • 106394 + 17) / 638158379191613365269   6374 Oct 2020 Masaki UKAI -
1005 (76 • 106374 + 41) / 621   6374 Nov 2020 Masaki UKAI -
1006 (34 • 106378 − 61) / 5549823   6373 Oct 2020 Masaki UKAI -
1007 (2509 • 221206 + 1) / 208315384258859   6373 Nov 2020 Masaki UKAI -
1008 (47 • 106372 − 83) / 9   6373 Nov 2020 Masaki UKAI -
1009 14827# / 11# + 133436   6373 Nov 2013 Dana Jacobsen Part of proven prime gap; d = 294642
1010 14827# / 11# − 161206   6373 Nov 2013 Dana Jacobsen Part of proven prime gap; d = 294642
1011 (73 • 106381 − 1) / 19139714361   6373 Oct 2020 Masaki UKAI -
1012 (21216 • 221216 + 1) / 4881423234461281949   6373 Oct 2020 Masaki UKAI Cullen cofactor
1013 (4785 • 221203 + 1) / 205752807906287   6373 Nov 2020 Masaki UKAI -
1014 18811946 + 19461881   6372 Jul 2021 Oliver Kruse Leyland plus-form
1015 (28 • 106370 + 647) / 9   6371 Nov 2020 Masaki UKAI -
1016 (73 • 221171 + 1) / 52065   6371 Nov 2020 Masaki UKAI Proth cofactor
1017 (28 • 106369 − 79) / 3   6370 Nov 2020 Masaki UKAI -
1018 (58 • 106370 + 23) / 603   6369 Oct 2020 Masaki UKAI -
1019 (19331940 − 19401933) / 3064243   6369 Nov 2020 Masaki UKAI Leyland minus-form cofactor
1020 (19 • 106373 + 611) / 516177   6369 Jun 2024 Alfred Reich -
1021 (63 • 221246 + 1) / 85628634509082201129332146103   6369 Nov 2020 Masaki UKAI Proth cofactor
1022 89 • 106366 − 3   6368 Nov 2020 Masaki UKAI -
1023 (64 • 106375 + 53) / 58642808697   6367 Oct 2020 Masaki UKAI -
1024 (77577 + 1) / 25503753010544086902592043488124072824   6366 Nov 2024 Jiahao He Generalized Wagstaff cofactor
1025 19111940 + 19401911   6366 Jul 2021 Oliver Kruse Leyland plus-form
1026 (106373 + 53) / 80500707   6366 Sep 2020 Masaki UKAI -
1027 (116113 + 1) / 12   6365 Jun 2017 Ray Chandler Generalized Wagstaff
1028 (28 • 106364 + 251) / 9   6365 Nov 2020 Masaki UKAI -
1029 Fib(31049) / Fib(509) / 1555390225712923741   6365 Mar 2017 Jonathan A. Zylstra Fibonacci cofactor
1030 (89 • 106363 − 17) / 9   6364 Sep 2020 Masaki UKAI -
1031 (62 • 106363 − 773) / 9   6364 Nov 2020 Masaki UKAI -
1032 2 • 106363 + 87   6364 Nov 2020 Masaki UKAI -
1033 (5 • 106373 + 7) / 74973957801   6363 Oct 2020 Masaki UKAI -
1034 (39 • 221164 + 1) / 8941665175   6363 Nov 2020 Masaki UKAI Proth cofactor
1035 (3 • 5882300 − 1) / 26103337   6363 Oct 2020 Masaki UKAI -
1036 (106364 + 68) / 3396   6361 Oct 2020 Masaki UKAI -
1037 (32 • 106371 − 23) / 1115519619159   6361 Sep 2020 Masaki UKAI -
1038 See complete expression   6360 Apr 2018 Edwin Hall -
1039 (109 • 106358 − 7) / 3   6360 Nov 2020 Masaki UKAI -
1040 (106360 − 19) / 9   6360 Nov 2020 Masaki UKAI -
1041 (76 • 10sup>6364 − 13) / 203090751   6358 Sep 2020 Masaki UKAI -
1042 (59 • 106356 + 31) / 9   6357 Sep 2020 Masaki UKAI -
1043 (38 • 106356 + 349) / 9   6357 Nov 2020 Masaki UKAI -
1044 (41 • 106358 + 31) / 1629   6357 Sep 2020 Masaki UKAI -
1045 (85 • 106363 − 13) / 878911677   6356 Oct 2020 Masaki UKAI -
1046 (28 • 106355 + 191) / 3   6356 Nov 2020 Masaki UKAI -
1047 (53 • 106355 − 161) / 9   6356 Nov 2020 Masaki UKAI -
1048 (29 • 106355 + 511) / 9   6356 Nov 2020 Masaki UKAI -
1049 12202059 − 20591220   6355 Nov 2020 Masaki UKAI Leyland minus-form
1050 See complete expression   6355 Apr 2018 Edwin Hall -
1051 (53 • 106371 + 1) / 7153541762489102169   6354 Oct 2020 Masaki UKAI -
1052 (79 • 106360 − 43) / 1276589169   6353 Oct 2020 Masaki UKAI -
1053 34 • 106351 − 3   6353 Nov 2020 Masaki UKAI -
1054 (116101 + 26101) / 13   6353 Jun 2017 Ray Chandler -
1055 (38 • 106359 + 43) / 325440999   6353 Oct 2020 Masaki UKAI -
1056 9 • 106351 − 73   6352 Nov 2020 Masaki UKAI -
1057 (14 • 106351 + 193) / 9   6352 Nov 2020 Masaki UKAI -
1058 (19 • 106354 + 53) / 52119   6351 Sep 2020 Masaki UKAI -
1059 (7 • 106350 − 439) / 9   6350 Nov 2020 Masaki UKAI -
1060 (2 • 106366 − 3) / 48165027727350077   6350 Sep 2020 Masaki UKAI -
1061 7 • 106348 + 57   6349 Nov 2020 Masaki UKAI -
1062 (55 • 106348 + 287) / 9   6349 Nov 2020 Masaki UKAI -
1063 13942019 − 20191394   6349 Nov 2020 Masaki UKAI Leyland minus-form
1064 (21092 • 221093 − 1) / 17950947   6347 Oct 2020 Masaki UKAI Near Woodall cofactor
1065 (4 • 106358 + 7) / 1114221372077   6347 Oct 2020 Masaki UKAI -
1066 106344 + 7   6345 Jun 2019 Alfred Reich -
1067 (67 • 106343 + 131) / 9   6344 Nov 2020 Masaki UKAI -
1068 (28 • 106342 + 629) / 9   6343 Nov 2020 Masaki UKAI -
1069 (14 • 106343 − 41) / 99   6343 Sep 2020 Masaki UKAI Palindrome
1070 (31 • 106355 − 13) / 381785370876261   6342 Nov 2020 Masaki UKAI -
1071 (58 • 106341 + 401) / 9   6342 Nov 2020 Masaki UKAI -
1072 (231764 + 1) / (210588 + 1) / 954481623980101611778469638877713   6342 Oct 2019 Anonymous -
1073 (4 • 106341 − 19) / 3   6342 Nov 2020 Masaki UKAI -
1074 (88 • 106348 − 61) / 1076451633   6341 Nov 2020 Masaki UKAI -
1075 (502 • 106339 − 61) / 9   6341 Nov 2020 Masaki UKAI -
1076 (19 • 106348 + 341) / 1051999551   6341 Jun 2024 Alfred Reich -
1077 primV(53256)   6340 Apr 2013 David Broadhurst; Bouk de Water Lucas primitive part
1078 (21129 • 221130 − 1) / 119567947314953666511889465   6340 Oct 2020 Masaki UKAI Near Woodall cofactor
1079 (106349 − 7) / 21198273567   6339 Oct 2020 Masaki UKAI -
1080 (26 • 106338 − 71) / 1503   6337 Sep 2020 Masaki UKAI -
1081 (29 • 106339 − 11) / 50751   6336 Oct 2020 Masaki UKAI -
1082 4 • 106335 − 87   6336 Nov 2020 Masaki UKAI -
1083 (29 • 106340 − 17) / 2573097   6336 Oct 2020 Masaki UKAI -
1084 (17 • 106334 + 67) / 3   6335 Nov 2020 Masaki UKAI -
1085 (55 • 106340 + 53) / 53761491   6335 Oct 2020 Masaki UKAI -
1086 (77 • 106336 + 13) / 42507   6334 Sep 2020 Masaki UKAI -
1087 (47 • 106332 − 173) / 9   6333 Nov 2020 Masaki UKAI -
1088 5 • 106331 − 3   6332 Sep 2020 Masaki UKAI -
1089 (17 • 106336 − 53) / 1918503   6331 Sep 2020 Masaki UKAI -
1090 314245 + 134245 + 3   6331 Mar 2020 Robert Gelhar -
1091 (106331 + 63 • 103165 − 1) / 9   6331 Sep 2020 Masaki UKAI Near repunit
1092 9 • 106329 − 53   6330 Nov 2020 Masaki UKAI -
1093 (19 • 106333 + 593) / 35847   6330 Jun 2024 Alfred Reich -
1094 (106331 − 964) / 36   6330 Nov 2020 Masaki UKAI -
1095 106329 + 97   6330 Nov 2020 Masaki UKAI -
1096 (19 • 106328 + 137) / 3   6329 Nov 2020 Masaki UKAI -
1097 (79 • 106335 + 11) / 145768707   6329 Sep 2020 Masaki UKAI -
1098 (19 • 106328 + 287) / 9   6329 Nov 2020 Masaki UKAI -
1099 (17 • 106328 − 269) / 9   6329 Nov 2020 Masaki UKAI -
1100 (88 • 106327 − 529) / 9   6328 Nov 2020 Masaki UKAI -
1101 See complete expression   6327 Apr 2013 Alfred Reich -
1102 See complete expression   6327 Oct 2019 Anonymous -
1103 (38 • 106325 + 583) / 9   6326 Nov 2020 Masaki UKAI -
1104 106325 − 40000001   6325 Nov 2020 Masaki UKAI Near repdigit
1105 (2 • 106332 + 1) / 62525289   6325 Oct 2020 Masaki UKAI -
1106 (19371937 + 19361936) / 5396953152136760478399384554086891606519029   6325 Jul 2013 Richard Dickerson Lifchitz plus-form cofactor
1107 (214 • 106323 − 7) / 9   6325 Nov 2020 Masaki UKAI -
1108 See complete expression   6325 Sep 2020 Masaki UKAI Generalized repunit
1109 12 • 106323 − 7   6325 Nov 2020 Masaki UKAI -
1110 8 • 106323 + 99   6324 Nov 2020 Masaki UKAI -
1111 (21017 • 221018 + 1) / 141158919   6324 Sep 2020 Masaki UKAI Near Cullen cofactor
1112 4 • 106322 − 99   6323 Nov 2020 Masaki UKAI -
1113 (82 • 106321 + 737) / 9   6322 Nov 2020 Masaki UKAI -
1114 (695 • 106320 + 61) / 9   6322 Nov 2020 Masaki UKAI -
1115 (41 • 106321 + 157) / 9   6322 Nov 2020 Masaki UKAI -
1116 (106340 + 71) / 2571114751174595169   6322 Oct 2020 Masaki UKAI -
1117 (86 • 106330 + 13) / 27280422873   6322 Oct 2020 Masaki UKAI -
1118 (718 • 106319 − 7) / 9   6321 Nov 2020 Masaki UKAI -
1119 17341951 − 19511734   6320 Nov 2020 Masaki UKAI Leyland minus-form
1120 (35 • 106321 − 17) / 1521   6320 Sep 2020 Masaki UKAI -
1121 (221011 − 210506 + 1) / 2101105   6319 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 242022 + 1
1122 14731# / 11# + 117772   6319 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 324618
1123 14731# / 11# − 206846   6319 Dec 2013 Dana Jacobsen Part of proven prime gap; d = 324618
1124 (34 • 106325 − 7) / 330746589   6319 Oct 2020 Masaki UKAI -
1125 (35 • 106316 − 449) / 9   6317 Nov 2020 Masaki UKAI -
1126 (25 • 106336 + 17) / 1011186629785525216233   6317 Oct 2020 Masaki UKAI -
1127 (86 • 106314 − 113) / 9   6315 Nov 2020 Masaki UKAI -
1128 10232098 − 20981023   6315 Nov 2020 Masaki UKAI Leyland minus-form
1129 (26 • 106315 +7) / 51   6315 Sep 2020 Masaki UKAI -
1130 (315315 − 1) / (311063 − 1) / 674782775530207301190162655   6315 Nov 2020 Masaki UKAI Generalized repunit cofactor
1131 (20978 • 220977 + 1) / 68681   6315 Sep 2020 Masaki UKAI Near Cullen cofactor
1132 (106320 − 7) / 1891119   6314 Oct 2020 Masaki UKAI -
1133 (3 • 106314 + 1) / 7   6314 Sep 2020 Masaki UKAI -
1134 (21008 • 221007 − 1) / 356675446900911   6314 Oct 2020 Masaki UKAI Near Woodall cofactor
1135 (11 • 106320 + 61) / 46035513   6314 Oct 2020 Masaki UKAI -
1136 (13 • 106313 − 121) / 9   6314 Nov 2020 Masaki UKAI -
1137 (58 • 106318 + 23) / 6633981   6313 Oct 2020 Masaki UKAI -
1138 (29 • 106335 + 43) / 2171896829864065427941179   6313 Oct 2020 Masaki UKAI -
1139 (76 • 106311 + 77) / 9   6312 Nov 2020 Masaki UKAI -
1140 (194 • 106310 − 11) / 3   6312 Nov 2020 Masaki UKAI -
1141 3 • 106310 − 79   6311 Nov 2020 Masaki UKAI -
1142 8 • (106310 − 59) / 3   6311 Nov 2020 Masaki UKAI -
1143 (737 • 106307 − 71) / 9   6309 Nov 2020 Masaki UKAI -
1144 (58 • 106313 + 41) / 1040121   6309 Oct 2020 Masaki UKAI -
1145 106308 + 39   6309 Nov 2020 Masaki UKAI -
1146 See complete expression   6308 Apr 2018 Edwin Hall -
1147 See complete expression   6308 Oct 2019 Anonymous Cyclotomic polynomial cofactor
  of 267218 + 1
1148 See complete expression   6308 Apr 2018 Edwin Hall -
1149 (13 • 106307 + 473) / 9   6308 Nov 2020 Masaki UKAI -
1150 3 • 106306 + 17   6307 Nov 2020 Masaki UKAI -
1151 (75591627 − 1) / 7558   6307 Jan 2019 Richard Dickerson Generalized repunit
1152 (29 • 106306 + 61) / 171   6306 Sep 2020 Masaki UKAI -
1153 (17 • 106323 − 53) / 66555878580551841309   6305 Oct 2020 Masaki UKAI -
1154 (19 • 106303 + 161) / 9   6304 Nov 2020 Masaki UKAI -
1155 See complete expression   6304 Jun 2019 Anonymous Mersenne cofactor of M(65046)
1156 (73 • 106304 − 1) / 513   6304 Sep 2020 Masaki UKAI -
1157 (62 • 106309 − 71) / 66353301   6303 Sep 2020 Masaki UKAI -
1158 (9 • 106316 − 7) / 196112134251283   6303 Oct 2020 Masaki UKAI -
1159 (14 • 106305 + 13) / 9027   6303 Oct 2020 Masaki UKAI -
1160 (19271927 + 19261926) / 54737319267339125070567643537   6302 Jul 2013 Richard Dickerson Lifchitz plus-form cofactor
1161 (17 • 106300 + 1) / 9   6301 Sep 2020 Masaki UKAI -
1162 (87531601 − 1) / 156821775536   6301 Jan 2019 Richard Dickerson Generalized repunit cofactor
1163 (79 • 106301 − 43) / 603   6301 Sep 2020 Masaki UKAI -
1164 (107357 + 1) / (101051 + 1) / 909091   6301 Jan 2013 Ray Chandler Generalized Wagstaff cofactor
1165 7 • 106299 − 83   6300 Nov 2020 Masaki UKAI -
1166 (106300 − 1) / 9 − 101604   6300 Mar 2023 Tengfei Wang Near repunit
1167 (106300 − 73) / 9   6300 Jan 2018 Haran -
1168 (88 • 106298 + 29) / 9   6299 Nov 2020 Masaki UKAI -
1169 (20930 • 220929 + 1) / 14879203   6298 Oct 2020 Masaki UKAI Near Cullen cofactor
1170 (226155 + 213078 + 1) / (25231 − 22616 + 1) / 41   6298 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 252310 + 1
1171 (56 • 106310 + 61) / 407372647071447   6298 Oct 2020 Masaki UKAI -
1172 (89 • 106296 − 791) / 9   6297 Nov 2020 Masaki UKAI -
1173 633499 − 623499   6296 Jun 2017 Ray Chandler Oakes number
1174 (4 • 106295 + 47) / 3   6296 Nov 2020 Masaki UKAI -
1175 (64 • 106305 + 53) / 981228391803   6295 Sep 2020 Masaki UKAI -
1176 (106301 − 8 • 103150 − 1) / 1768531   6295 Sep 2020 Masaki UKAI -
1177 (463789 + 378946) / 301411   6295 Sep 2020 Masaki UKAI Leyland plus-form cofactor
1178 (88 • 106292 − 349) / 9   6293 Nov 2020 Masaki UKAI -
1179 (76 • 106292 + 311) / 9   6293 Nov 2020 Masaki UKAI -
1180 (116043 − 76043) / 4   6293 Jun 2017 Ray Chandler -
1181 (43 • 106289 + 173) / 9   6290 Nov 2020 Masaki UKAI -
1182 6 • 106288 + 91   6289 Nov 2020 Masaki UKAI -
1183 (3960 • 2102713 + 1) / 1567415245756807   6289 Oct 2020 Masaki UKAI -
1184 9 • 106287 − 19   6288 Nov 2020 Masaki UKAI -
1185 5 • 106287 − 27   6288 Nov 2020 Masaki UKAI -
1186 (17 • 106294 + 7) / 36954201   6288 Oct 2020 Masaki UKAI -
1187 (9 • 106289 − 1) / 359   6288 Sep 2020 Masaki UKAI -
1188 (71 • 106286 − 773) / 9   6287 Nov 2020 Masaki UKAI -
1189 (23 • 106285 − 137) / 3   6286 Nov 2020 Masaki UKAI -
1190 (29 • 106289 + 7) / 446391   6285 Sep 2020 Masaki UKAI -
1191 (499 • 106283 + 23) / 9   6285 Nov 2020 Masaki UKAI -
1192 (74 • 106283 − 83) / 9   6284 Nov 2020 Masaki UKAI -
1193 (64 • 106283 + 107) / 9   6284 Nov 2020 Masaki UKAI -
1194 (733373 + 23373) / 75   6284 May 2022 Kevin Thompson -
1195 (71 • 106286 + 1) / 62163   6284 Oct 2020 Masaki UKAI -
1196 (39 • 220893 + 1) / 231361087   6283 Nov 2020 Masaki UKAI Proth cofactor
1197 (49 • 106281 + 221) / 9   6282 Nov 2020 Masaki UKAI -
1198 (11 • 106281 − 131) / 3   6282 Nov 2020 Masaki UKAI -
1199 (64 • 106287 + 53) / 19292823   6282 Sep 2020 Masaki UKAI -
1200 (106289 − 34) / 505915926   6281 Sep 2020 Masaki UKAI -
1201 (47 • 220872 + 1) / 50529   6281 Nov 2020 Masaki UKAI Proth cofactor
1202 (1402927 + 1392927) / 279   6280 Jun 2017 Ray Chandler -
1203 See complete expression   6279 Mar 2023 Matteo D'Aniello -
1204 (209 • 106277 + 61) / 9   6279 Nov 2020 Masaki UKAI -
1205 (518 • 106276 − 41) / 9   6278 Nov 2020 Masaki UKAI -
1206 (46 • 106277 − 73) / 9   6278 Nov 2020 Masaki UKAI -
1207 (9435 • 220887 + 1) / 192405527170463   6278 Nov 2020 Masaki UKAI Proth cofactor
1208 (17 • 220856 + 1) / 297   6278 Nov 2020 Masaki UKAI Proth cofactor
1209 (65 • 106296 + 61) / 647808701923262400903   6278 Oct 2020 Masaki UKAI -
1210 (595 • 106275 + 71) / 9   6277 Nov 2020 Masaki UKAI -
1211 11372054 + 20541137   6277 Jul 2021 Oliver Kruse Leyland plus-form
1212 (77 • 106275 + 337) / 9   6276 Nov 2020 Masaki UKAI -
1213 (13 • 106283 − 1) / 464515179   6276 Oct 2020 Masaki UKAI -
1214 (106276 − 1) / 9 − 1046   6276 Feb 2023 Tengfei Wang Near repunit
1215 (74 • 106288 + 61) / 1151205248673531   6275 Oct 2020 Masaki UKAI -
1216 9882095 + 2095988   6275 Sep 2012 Andrey V. Kulsha Leyland plus-form
1217 (83 • 106285 + 7) / 25117718599503   6274 Oct 2020 Masaki UKAI -
1218 (68 • 106272 + 1) / 3   6274 Nov 2020 Masaki UKAI -
1219 (22 • 106286 + 23) / 258860285799741   6273 Oct 2020 Masaki UKAI -
1220 (43 • 106272 − 133) / 9   6273 Nov 2020 Masaki UKAI -
1221 (20901 • 220901 + 1) / 340539394086849763010597   6273 Oct 2020 Masaki UKAI Cullen cofactor
1222 13342007 + 20071334   6273 Jul 2021 Oliver Kruse Leyland plus-form
1223 (85 • 106281 − 31) / 386087996709   6272 Oct 2020 Masaki UKAI -
1224 (85 • 106272 + 41) / 1521   6271 Sep 2020 Masaki UKAI -
1225 3 • 106270 + 29   6271 Nov 2020 Masaki UKAI -
1226 (4 • 106285 + 17) / 53596859046637413   6269 Oct 2020 Masaki UKAI -
1227 (14 • 106279 − 41) / 392281290819   6269 Oct 2020 Masaki UKAI -
1228 (19041913 − 19131904) / 1109141   6268 Nov 2020 Masaki UKAI Leyland minus-form cofactor
1229 (22 • 106267 − 7) / 3   6268 Sep 2020 Masaki UKAI -
1230 (7 • 106271 − 9 • 103135 − 7) / 12609   6268 Sep 2020 Masaki UKAI -
1231 (79 • 106266 − 1) / 3   6268 Nov 2020 Masaki UKAI -
1232 (88 • 106265 − 241) / 9   6266 Nov 2020 Masaki UKAI -
1233 (19 • 106269 − 7) / 51531   6266 Sep 2020 Masaki UKAI -
1234 (89 • 106264 − 377) / 9   6265 Nov 2020 Masaki UKAI -
1235 (68 • 106289 − 23) / 341689515162735885425466867   6265 Oct 2020 Masaki UKAI -
1236 See complete expression   6265 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 253746 + 1
1237 (91 • 220803 + 1) / 3   6264 Nov 2020 Masaki UKAI Proth cofactor
1238 5 • 106262 − 43   6263 Nov 2020 Masaki UKAI -
1239 (43 • 106264 − 7) / 1791   6263 Sep 2020 Masaki UKAI -
1240 (9 • 106265 − 1) / 3881   6263 Sep 2020 Masaki UKAI -
1241 9502103 + 2103950   6263 Sep 2012 Andrey V. Kulsha Leyland plus-form
1242 (28 • 106266 + 11) / 451641   6262 Sep 2020 Masaki UKAI -
1243 (11 • 220815 + 1) / 341137   6262 Nov 2020 Masaki UKAI Proth cofactor
1244 (14 • 106260 − 221) / 9   6261 Nov 2020 Masaki UKAI -
1245 (44 • 106263 − 53) / 102789   6260 Oct 2020 Masaki UKAI -
1246 primV(60333)   6260 Apr 2013 David Broadhurst; Bouk de Water Lucas primitive part
1247 9812092 − 2092981   6259 Nov 2020 Masaki UKAI Leyland minus-form
1248 (106259 − 292) / 12   6258 Nov 2020 Masaki UKAI -
1249 (11 • 106260 + 61) / 3483   6258 Sep 2020 Masaki UKAI -
1250 (13 • 106261 + 23) / 1384137   6256 Oct 2020 Masaki UKAI -
1251 (14 • 106255 − 191) / 3   6256 Nov 2020 Masaki UKAI -
1252 (7 • 106255 − 691) / 9   6255 Nov 2020 Masaki UKAI -
1253 (56 • 106254 + 403) / 9   6255 Nov 2020 Masaki UKAI -
1254 (4 • 106267 − 13) / 75871955488437   6254 Oct 2020 Masaki UKAI -
1255 (773319 − 1) / 60538636   6254 May 2020 Richard Dickerson Generalized repunit cofactor
1256 (22 • 106265 − 1) / 9012339439377   6254 Sep 2020 Masaki UKAI -
1257 (4 • 106253 + 11) / 3   6254 Sep 2020 Masaki UKAI -
1258 (58 • 106255 + 23) / 5103   6254 Oct 2020 Masaki UKAI -
1259 (31 • 106252 − 103) / 9   6253 Nov 2020 Masaki UKAI -
1260 (19091909 + 19081908) / 439039871365   6252 Jul 2013 Richard Dickerson Lifchitz plus-form cofactor
1261 (67 • 106250 + 41) / 9   6251 Sep 2020 Masaki UKAI -
1262 13781991 + 19911378   6251 Sep 2012 Andrey V. Kulsha Leyland plus-form
1263 (19 • 106260 − 1) / 557120885661   6250 Oct 2020 Masaki UKAI -
1264 220757 − 3   6249 Feb 2023 Matteo D'Aniello Dual Williams
1265 primU(5239,1,7350)   6249 Jun 2017 Serge Batalov Fibonacci primitive part
1266 (4 • 106263 − 9) / 5836528073156947   6248 Oct 2020 Masaki UKAI -
1267 3 • 106247 + 79   6248 Nov 2020 Masaki UKAI -
1268 (13 • 106246 − 61) / 3   6247 Nov 2020 Masaki UKAI -
1269 (313093 + 1) / 4   6247 Jun 2017 Ray Chandler Generalized Wagstaff
1270 (17 • 106247 − 53) / 117   6247 Sep 2020 Masaki UKAI -
1271 (403914 + 391440) / 2032769984481541996150784   6247 Sep 2020 Masaki UKAI Leyland plus-form cofactor
1272 (11 • 106245 − 17) / 3   6246 Sep 2020 Masaki UKAI -
1273 (65 • 106244 − 47) / 9   6245 Nov 2020 Masaki UKAI -
1274 ⌊(π • 106281)⌋ / 5922775598388224687518158431211504334   6244 Aug 2016 Anonymous String in Pi cofactor
1275 (14 • 106248 − 23) / 798417   6244 Sep 2020 Masaki UKAI -
1276 (85 • 106242 + 347) / 9   6243 Nov 2020 Masaki UKAI -
1277 (28 • 106245 − 1) / 3141   6243 Sep 2020 Masaki UKAI -
1278 (793 • 106241 − 1) / 9   6243 Nov 2020 Masaki UKAI -
1279 (29 • 220745 + 1) / 7349   6243 Nov 2020 Masaki UKAI -
1280 (64 • 106241 + 287) / 9   6242 Nov 2020 Masaki UKAI -
1281 (22 • 106255 − 1) / 1676719843159371   6242 Oct 2020 Masaki UKAI -
1282 See complete expression   6241 Mar 2013 Alfred Reich -
1283 (316355 + 1) / (33271 + 1) / 61   6241 Sep 2020 Masaki UKAI Generalized Wagstaff cofactor
1284 5 • 106240 + 89   6241 Nov 2020 Masaki UKAI -
1285 (4 • 106240 + 11) / 3   6241 Sep 2020 Masaki UKAI -
1286 (76 • 106245 − 31) / 7397091   6241 Oct 2020 Masaki UKAI -
1287 9 • (106437 − ) / (10157 − 1) / (1041 − 1)   6240 Jan 2012 Ray Chandler Repunit cofactor
1288 (106240 − 61) / 3   6240 Nov 2020 Masaki UKAI -
1289 (17 • 106250 + 1) / 739964781387   6240 Oct 2020 Masaki UKAI -
1290 (43 • 106245 − 61) / 44666559   6239 Sep 2020 Masaki UKAI -
1291 (11 • 106238 − 197) / 3   6239 Nov 2020 Masaki UKAI -
1292 410362 + 3   6239 Mar 2012 Frank Schickel Dual Williams
1293 (88 • 106237 + 83) / 9   6238 Nov 2020 Masaki UKAI -
1294 (26 • 106236 − 11) / 3   6237 Sep 2020 Masaki UKAI -
1295 (106245 − 9) / 178647523   6237 Sep 2020 Masaki UKAI -
1296 (79 • 106240 − 43) / 156879   6237 Sep 2020 Masaki UKAI -
1297 (11 • 106236 + 241) / 9   6237 Nov 2020 Masaki UKAI -
1298 (22 • 106235 − 229) / 9   6236 Nov 2020 Masaki UKAI -
1299 (13 • 106235 + 419) / 9   6236 Nov 2020 Masaki UKAI -
1300 See complete expression   6235 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 248566 + 1
1301 (106264 + 3) / 967117413128374343189913775927   6235 May 2019 Alfred Reich -
1302 6 • 106232 + 17   6233 Nov 2020 Masaki UKAI -
1303 (106242 + 53) / 2393738091   6233 Oct 2020 Masaki UKAI -
1304 (106233 − 34) / 6   6233 Sep 2020 Masaki UKAI -
1305 (17 • 106231 + 7) / 3   6232 Sep 2020 Masaki UKAI -
1306 (14 • 106231 + 139) / 9   6232 Nov 2020 Masaki UKAI -
1307 (19 • 106236 + 11) / 4730817   6231 Oct 2020 Masaki UKAI -
1308 2 • 106230 − 63   6231 Nov 2020 Masaki UKAI -
1309 (203 • 106228 + 1) / 3   6230 Nov 2020 Masaki UKAI -
1310 (144111499 − 1) / 14410   6230 Oct 2022 Richard Dickerson Generalized repunit
1311 (3 • 106230 + 1) / 7   6230 Sep 2020 Masaki UKAI -
1312 M(20887) / 118421949251433453827857391594130772157699369945439163022281   6229 Aug 2009 David Broadhurst Mersenne cofactor
1313 (38 • 106227 + 637) / 9   6228 Nov 2020 Masaki UKAI -
1314 See complete expression   6225 Jun 2019 Anonymous Cofactor of 222672 + 1
1315 (44 • 106236 − 17) / 63035656767189   6224 Oct 2020 Masaki UKAI -
1316 (32 • 106232 + 13) / 5218973469   6224 Sep 2020 Masaki UKAI -
1317 (106233 + 45 • 103116 − 1) / 1773608301   6224 Oct 2020 Masaki UKAI -
1318 (166 • 106222 − 7) / 3   6224 Nov 2020 Masaki UKAI -
1319 (14 • 106223 − 149) / 9   6224 Nov 2020 Masaki UKAI -
1320 5612052289 • 14500# / 5 + 5   6223 Jan 2008 Norman Luhn Part of a prime triplet
  First Primo (3.0.4) multicore certificate
1321 (47 • 106233 − 11) / 1687376618739   6223 Oct 2020 Masaki UKAI -
1322 (64 • 106233 + 71) / 3382066611873   6223 Sep 2020 Masaki UKAI -
1323 8 • 106221 + 27   6222 Nov 2020 Masaki UKAI -
1324 (2372621 − 1) / 236   6222 May 2020 Richard Dickerson Generalized repunit
1325 5 • 106221 + 11   6222 Nov 2020 Masaki UKAI -
1326 (38651779821 − 1) / 38651778   6222 Oct 2022 Richard Dickerson Generalized repunit
1327 8 • 106219 + 3   6220 Sep 2020 Masaki UKAI -
1328 (43 • 106231 − 61) / 16363332999351   6220 Oct 2020 Masaki UKAI -
1329 3132492 − 2492313   6219 Nov 2020 Masaki UKAI Leyland minus-form
1330 5372278 + 2278537   6219 Jan 2013 Youcef Lemsafer Leyland plus-form
1331 (19 • 106217 − 7) / 3   6218 Sep 2020 Masaki UKAI -
1332 (67 • 106228 − 13) / 2201825528631   6218 Oct 2020 Masaki UKAI -
1333 (17 • 106216 + 7) / 3   6217 Sep 2020 Masaki UKAI -
1334 (49 • 106216 − 31) / 9   6217 Sep 2020 Masaki UKAI -
1335 (68 • 106214 + 7) / 3   6216 Nov 2020 Masaki UKAI -
1336 9 • 106214 + 91   6215 Nov 2020 Masaki UKAI -
1337 (185 • 106213 − 17) / 3   6215 Nov 2020 Masaki UKAI -
1338 (73 • 106219 + 71) / 1216143   6215 Oct 2020 Masaki UKAI -
1339 (22 • 106217 − 1) / 3723   6215 Sep 2020 Masaki UKAI -
1340 (43 • 220641 + 1) / 3   6215 Nov 2020 Masaki UKAI -
1341 (79 • 106224* −61) / 11169054860301   6213 Oct 2020 Masaki UKAI -
1342 (61 • 220636 + 1) / 77   6212 Nov 2020 Masaki UKAI -
1343 (49 • 106211 − 337) / 9   6212 Nov 2020 Masaki UKAI -
1344 106211 + 73   6212 Nov 2020 Masaki UKAI -
1345 (85 • 106214 + 23) / 155583   6211 Oct 2020 Masaki UKAI -
1346 (4 • 106227 − 31) / 79507865238285681   6211 Oct 2020 Masaki UKAI -
1347 See complete expression   6210 Apr 2013 Alfred Reich -
1348 (106210 − 1) / 9 − 1040   6210 Apr 2023 Tengfei Wang Near repunit
1349 (49 • 106221 − 13) / 71648314437771   6209 Oct 2020 Masaki UKAI -
1350 (20621 • 220620 − 1) / 1165   6209 Sep 2020 Masaki UKAI Near Woodall cofactor
1351 (79 • 106216 + 11) / 12366249633   6208 Oct 2020 Masaki UKAI -
1352 (56 • 106217 + 43) / 436473829629   6208 Sep 2020 Masaki UKAI -
1353 See complete expression   6208 Mar 2013 Alfred Reich Repunit cofactor
1354 (106215 − 244) / 230843988   6207 Sep 2020 Masaki UKAI -
1355 See complete expression   6206 Dec 2020 Metin Sariyar Smallest prime formed from composite
  digits of Pi in order of appearence
1356 (35 • 106212 − 71) / 238167081   6206 Oct 2020 Masaki UKAI -
1357 See complete expression   6204 May 2012 Anonymous Generalized repunit
1358 (19 • 106207 + 737) / 201447   6203 Jun 2024 Alfred Reich -
1359 (1744 • 106199 − 1747) / 3   6202 Nov 2020 Masaki UKAI -
1360 (106223 + 3) / 64864921317031957898153   6201 May 2019 Alfred Reich -
1361 (67 • 106212 + 41) / 514479320537679   6200 Oct 2020 Masaki UKAI -
1362 (59 • 106206 − 41) / 552190527   6200 Oct 2020 Masaki UKAI -
1363 (109 • 106197 + 11) / 3   6199 Nov 2020 Masaki UKAI -
1364 (61 • 106197 − 421) / 9   6198 Nov 2020 Masaki UKAI -
1365 (49 • 106197 + 221) / 9   6198 Nov 2020 Masaki UKAI -
1366 106197 + 31   6198 Nov 2020 Masaki UKAI -
1367 (518 • 106195 − 23) / 9   6197 Nov 2020 Masaki UKAI -
1368 (49 • 106196 − 319) / 9   6197 Nov 2020 Masaki UKAI -
1369 (55 • 106210 + 17) / 2030926213230669   6197 Nov 2020 Masaki UKAI -
1370 See complete expression   6196 Jun 2019 Anonymous Cyclotomic polynomial cofactor
  of 285410 + 1
1371 823237 + 323782   6196 Oct 2012 Youcef Lemsafer Leyland plus-form
1372 (153 • 220571 + 1) / 35   6194 Nov 2020 Masaki UKAI -
1373 (106194 + 83) / 3   6194 Nov 2020 Masaki UKAI -
1374 (106212 + 53) / 10776712640597347797   6193 Oct 2020 Masaki UKAI -
1375 (29 • 106190 + 19) / 3   6191 Nov 2020 Masaki UKAI -
1376 (23 • 106189 − 53) / 3   6190 Nov 2020 Masaki UKAI -
1377 See complete expression   6190 Sep 2020 Masaki UKAI -
1378 (20602 • 220603 − 1) / 66791240226218485   6190 Oct 2020 Masaki UKAI Near Woodall cofactor
1379 (37 • 106199 + 71) / 220118975181   6190 Sep 2020 Masaki UKAI -
1380 8 • 106188 − 13   6189 Nov 2020 Masaki UKAI -
1381 (19 • 106188 + 131) / 3   6189 Nov 2020 Masaki UKAI -
1382 3 • 106188 − 59   6189 Nov 2020 Masaki UKAI -
1383 (77 • 106193 − 41) / 3771927   6189 Sep 2020 Masaki UKAI -
1384 11062033 − 20331106   6188 Nov 2020 Masaki UKAI Leyland minus-form
1385 (35 • 106187 − 197) / 9   6188 Nov 2020 Masaki UKAI -
1386 (86 • 106187 + 319) / 9   6188 Nov 2020 Masaki UKAI -
1387 (106190 + 14) / 77514   6186 Sep 2020 Masaki UKAI -
1388 (4 • 106185 + 149) / 9   6185 Nov 2020 Masaki UKAI -
1389 (178 • 106183 − 7) / 9   6185 Nov 2020 Masaki UKAI -
1390 (2 • 106196 + 3) / 18354310446079   6184 Sep 2020 Masaki UKAI -
1391 (8 • 106182 − 377) / 9   6182 Nov 2020 Masaki UKAI -
1392 (7 • 106186 + 3) / 100351   6182 Sep 2020 Masaki UKAI -
1393 (37 • 106183 − 1) / 4959   6181 Sep 2020 Masaki UKAI -
1394 (34 • 106183 − 61) / 22059   6181 Oct 2020 Masaki UKAI -
1395 (56 • 106193 + 43) / 1002142323814347   6180 Oct 2020 Masaki UKAI -
1396 (32 • 106179 + 157) / 9   6180 Nov 2020 Masaki UKAI -
1397 (25 • 106191 + 11) / 23803589997801   6180 Oct 2020 Masaki UKAI -
1398 (44 • 106178 − 719) / 9   6179 Nov 2020 Masaki UKAI -
1399 (7 • 106189 − 27 • 103094 − 7) / 177012786051   6179 Oct 2020 Masaki UKAI -
1400 (17 • 220531 + 1) / 2627   6179 Nov 2020 Masaki UKAI -
1401 (755 • 106176 − 17) / 9   6178 Nov 2020 Masaki UKAI -
1402 (43 • 106177 + 191) / 9   6178 Nov 2020 Masaki UKAI -
1403 See complete expression   6178 Jun 2019 Anonymous Mersenne cofactor of M(27797)
1404 (2450! / 2450#) − 1) / 1570913260852841563681   6178 Oct 2020 Masaki UKAI -
1405 (106177 − 103088 − 1) / 3   6177 Sep 2020 Masaki UKAI Near repdigit
1406 (189 • 220520 + 1) / 2185   6177 Nov 2020 Masaki UKAI -
1407 (85 • 106190 + 23) / 65718663467675499   6176 Oct 2020 Masaki UKAI -
1408 (16 • 106174 + 197) / 3   6175 Nov 2020 Masaki UKAI -
1409 (20523 • 220524 + 1) / 169975627   6175 Oct 2020 Masaki UKAI Near Cullen cofactor
1410 Φ(7745,10) / 3903193020638579197801   6175 Sep 2014 Maksym Voznyy Repunit cofactor
1411 (106183 + 17) / 505833129   6175 Sep 2020 Masaki UKAI -
1412 (19 • 106176 + 431) / 2331   6174 Jun 2024 Alfred Reich -
1413 (299 • 106171 − 11) / 9   6173 Nov 2020 Masaki UKAI -
1414 17571902 + 19021757   6172 May 2010 Andrey V. Kulsha Leyland plus-form
1415 (20575 • 220575 + 1) / 323522931032013163369411347   6172 Oct 2020 Masaki UKAI Cullen cofactor
1416 (20560 • 220559 − 1) / 12705769344449958893291   6172 Oct 2020 Masaki UKAI Near Woodall cofactor
1417 (7 • 106171 − 43) / 261   6170 Sep 2020 Masaki UKAI -
1418 primA(118275)   6170 Mar 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part
1419 (106170 − 1) / 9 − 1063   6170 Apr 2023 Tengfei Wang Near repunit