Rank Expression Digits When Who Comment Certificate
1 R(49081)   49081 Mar 2022 Paul Underwood Repunit click
2 p(1289844341)   40000 Dec 2020 Paul Underwood Partitions click
3 2116224 - 15905   34987 May 2019 Peter Kaiser - click
4 (14665 • 1034110 − 56641) / 9999   34111 Dec 2020 David Broadhurst; Paul Underwood Palindrome click
5 Picture(57885161)   34093 Dec 2020 Paul Underwood show picture click
6 M(106391) / 286105171290931103   32010 May 2025 Robert Gelhar Mersenne cofactor click
7 Lucas(148091)   30950 Sep 2015 Paul Underwood Lucas number click
8 −Τ(331,2129)   29492 Dec 2020 Philippe Alsina; Pierre Gazzano;
  Nik Lygeros; Olivier Rozier; André Solaris		 Lehmer-Ramanujan click
9 Lucas(140057)   29271 Dec 2014 Peter Kaiser; Paul Underwood Lucas number click
10 − 30 • Bern(10264) / 262578313564364605963   28506 May 2021 Robert Gelhar Irregular click
11 (1027669 + 7) / 8313493832818655929448065598763458531111   27630 Jan 2021 Alfred Reich - click
12 546351925018076058 • Bern(9702) / 129255048976106804786904258880518941   26709 Jan 2021 Serge Batalov Irregular click
13 M(86137) / 20021531730209833250959969231661791   25896 May 2022 Paul Underwood Mersenne cofactor click
14 1025333 − 2 • 105182 − 3   25333 Aug 2020 Robert Gelhar - click
15 Φ(12345,7176) / 31531760245313526865033921   25331 Jun 2017 Tom Wu Part of BLS primality proof of
  (717624691 − 1) / 7175		 click
16 M(84211) / 140050626828838622759681349695502902354485703679858928071137   25291 Dec 2020 Robert Gelhar Mersenne cofactor click
17 (283339 + 1) / 3   25088 Sep 2014 Tom Wu Wagstaff click
18 M(82939) / 883323903012540278033571819073   24938 Feb 2021 Paul Underwood Mersenne cofactor click
19 −Τ(6911522)   23770 Mar 2014 Nik Lygeros; Olivier Rozier - click
20 1023769 + 23769   23770 Jan 2024 Tengfei Wang - click
21 798 • Bern(8766) / 14670751334144820770719   23743 Jan 2021 Robert Gelhar Irregular click
22 (10011867 + 1) / 101   23732 Dec 2021 Ray Chandler Generalized Wagstaff click
23 826205 + 262058   23666 Sep 2023 Tengfei Wang Leyland plus-form click
24 Φ(35421,− 10)   23613 Jun 2021 Serge Batalov Unique click
25 primV(67, − 1, 13081) / 65419672274940815357   23451 Oct 2019 Paul Underwood Helper to LucasU(67, − 1, 26161) click
26 Τ(2571698)   22506 Apr 2014 Patrice Deloche; Nik Lygeros;
  Olivier Rozier		 - click
27 1022250 + 57913   22251 Jun 2014 Pierre Cami - click
28 273845 + 14717   22230 Dec 2013 Peter Kaiser Dual Sierpinski Problem click
29 273360 + 10711   22084 Sep 2014 Peter Kaiser Dual Sierpinski Problem click
30 Fib(104911)   21925 Oct 2015 Mathew Steine; Bouk de Water Fibonacci number click
31 Φ(15072, 24741) / 30662286083704489057   21913 Jun 2024 Tom Wu Part of BLS primality proof of
  (2474115073 − 1) / 24740		 click
32 345535 + 2   21726 Jun 2020 Robert Gelhar Dual Williams prime click
33 20170108 • 1021700 + 39   21708 Nov 2016 Peter Kaiser - click
34 Φ(1203,1027)   21600 Nov 2021 Ray Chandler Unique click
35 Φ(15438, 23340) / 15439   21487 Jul 2020 Tom Wu Part of BLS primality proof of
  (2334015439 − 1) / 23339		 click
36 − E(6658) / 85079   21257 Dec 2020 Serge Batalov Euler irregular click
37 Φ(39855, − 10)   21248 Nov 2020 Robert Gelhar Unique click
38 Φ(15372, 64758) / 1244123140789621   20770 Jan 2018 Tom Wu Part of BLS primality proof of
  (6475815373 − 1) / 64757		 click
39 Φ(23749, −10)   20160 Apr 2014 Ray Chandler Unique click
40 4111286921397 • 266420 + 5   20008 Apr 2019 Peter Kaiser Part of a prime triplet click
41 Lucas(94823)   19817 May 2014 Paul UnderwoodM; Henri Lifchitz Lucas number click
42 Φ(8055,40734) / 96202794155883391141266863081244220084299983546056404017486521   19632 Mar 2015 Tom Wu Part of BLS primality proof of
  (4073416111 − 1) / 40733		 click
43 M(63703) / 42808417   19169 Jan 2014 David Metcalfe Mersenne cofactor click
44 Φ(7545,58729) / 2732693371   19143 Jun 2024 Tom Wu Part of BLS primality proof of
  (5872915091 − 1) / 58728		 click
45 Lucas(89849)   18778 Sep 2014 Paul Underwood; Harvey Dubner Lucas number click
46 primV(145353)   18689 Dec 2013 Dana Jacobsen Lucas primitive part click
47 Φ(14943, − 100)   18688 Mar 2014 Ray Chandler Unique click
48 Φ(12040,43326) / 22911344130361   18683 Nov 2017 Tom Wu Part of BLS primality proof of
  (4332612041 − 1) / 43325		 click
49 Φ(13338,63847) / 44250132909040111   18666 May 2013 Tom Wu Part of BLS primality proof of
  (6384713339− 1) / 63846 		click
50 587 • 43103# / 11# + 657402   18662 Oct 2013 Pierre Cami Part of a proven prime mega-gap click
51 587 • 43103# / 11# − 455704   18662 Oct 2013 Pierre Cami Part of a proven prime mega-gap click
52 261792 + 21661   18602 Dec 2012 Peter Kaiser Dual Sierpinski Problem click
53 Φ(18827,10)   18480 May 2014 Ray Chandler Unique click
54 R(21469) / R(3067) / 3945067990295736019201267346350493   18369 Jan 2018 Ray Chandler Repunit cofactor click
55 See complete expression   18129 Aug 2017 Ray Chandler - click
56 Lucas(86477) / 1042112515940998434071039   18049 Sep 2020 Serge Batalov Lucas cofactor click
57 See complete expression   17904 Jun 2017 Ray Chandler - click
58 (1017734 + 108867 + 1) / 33784919373   17724 Apr 2017 Ray Chandler Cyclotomic polynomial cofactor
  of R(53202)		 click
59 M(58199) / 237604901713907577052391   17497 Jan 2015 David Metcalfe Mersenne cofactor click
60 R(21865) / R(4373) / 2116024961761   17480 Jun 2017 Ray Chandler Repunit cofactor click
61 ((2 • 108677 − 1)2 + 3) / 364   17353 Apr 2014 Ray Chandler - click
62 1199
86160983933969883031666688 • ∑ ( 248⋅n ) + 138585004357  
n=0  		 17351 May 2020 Robert Gelhar - click
63 108677 • Sm(2445) + Smr(2446)   17350 Jan 2022 Oliver Kruse Sm - Smarandache function
  Smr - reversed Sm		 click
64 M(57131) / 61481396117165983261035042726614288722959856631   17152 Jan 2016 David Metcalfe Mersenne cofactor click
65 1017135 − 5 • 101884 − 1   17135 Mar 2022 Ray Chandler Near repdigit; Part of a twin prime click
66 1017135 − 5 • 101884 − 3   17135 Mar 2022 Ray Chandler Part of a twin prime click
67 Lucas(81671)   17069 Sep 2013 Mathew Steine Lucas number click
68 256366 + 39079   16968 Oct 2012 Peter Kaiser Dual Sierpinski Problem click
69 primV(86756)   16920 Jan 2015 Charles H (Chuck) Lasher;
  Harvey Dubner		 Lucas primitive part click
70 39161# / 11# − 510478   16901 Apr 2013 Pierre Cami Part of an incomplete
  proven prime gap; d = 984108		 click
71 primU(5617,−1,4769) / 38153   16869 Jul 2019 Serge Batalov - click
72 Lucas(80761) / 570100885555095451   16861 Aug 2020 Serge Batalov Lucas cofactor click
73 6521953289619 • 255555 − 5   16737 Apr 2013 Peter Kaiser Part of a prime triplet click
74 (45774577 + 45764576) / 5007522261204368020293    16733 Jan 2018 Rich Dickerson Lifchitz plus cofactor click
75 255525 − 555252   16715 Dec 2023 Tengfei Wang Leyland minus-form click
76 6 • (Lucas(81836) − 1) / (Lucas(1996) − 1) / (Lucas(164) − 1)   16653 Jan 2021 Serge Batalov Lucas primitive part click
77 p(221444161)   16569 APr 2017 Serge Batalov Partitions click
78 Fib(78919) / 15574900936381642440917   16471 Sep 2020 Serge Batalov Fibonacci cofactor click
79 −Τ(791570)   16386 Feb 2014 Nik Lygeros; Olivier Rozier - click
80 See complete expression   16312 Aug 2020 Anonymous Cyclotomic polynomial cofactor click
81 See complete expression   16312 Nov 2016 Anonymous Cyclotomic polynomial cofactor click
82 primV(123573)   16198 May 2019 Serge Batalov Lucas primitive part click
83 Φ(10356,50091) / 10304269521936621850713514888196023221889   16165 Nov 2016 Tom Wu Part of BLS primality proof of
  (5009110357 − 1) / 50090		 click
84 Lucas(77417) / 313991497376559420151   16159 Aug 2020 Serge Batalov Lucas cofactor click
85 See complete expression   16115 Nov 2016 Ray Chandler Cyclotomic polynomial cofactor click
86 M(53381) / 94649555180092174344611143949332081125424867221122582640412951   16008 Mar 2017 Paul Underwood Mersenne cofactor click
87 − E(5186) / 295970922359784619239409649676896529941379763   15954 Mar 2018 Thomas Ritschel Euler irregular click
88 primV(121227)   15890 May 2019 Serge Batalov Lucas primitive part click
89 Φ(7545,9082) / 268247497918471   15882 Oct 2014 Tom Wu Part of BLS primality proof of
  (908215091 − 1) / 9081		 click
90 See complete expression   15721 Apr 2014 Anonymous - click
91 718582 − 185827   15704 Dec 2023 Tengfei Wang Leyland minus-form click
92 primU(131481)   15695 Mar 2019 Serge Batalov Fibonacci primitive part click
93 (1017237 + 1) / (101567 + 1) / 3678375809127692849   15652 Oct 2016 Ray Chandler Generalized Wagstaff cofactor click
94 primV(120258)   15649 May 2019 Serge Batalov Lucas primitive part click
95 See complete expression   15582 Oct 2016 Ray Chandler Generalized Wagstaff cofactor click
96 M(51487) / 992759464401015098867323676444574243990277591   15455 Nov 2018 Serge Batalov Mersenne cofactor click
97 primB(183835)   15368 Mar 2019 Serge Batalov Lucas Aurifeuillian primitive part click
98 See complete expression   15352 Dec 2016 Ray Chandler - click
99 primU(77387)   15319 Mar 2019 Serge Batalov Fibonacci primitive part click
100 (42244224 + 42234223) / 43228896852681817   15299 Mar 2016 Rich Dickerson Lifchitz plus cofactor click
101 Φ(285,− 2637124) / 13082397832081   15267 Feb 2012 Tom Wu Part of BLS primality proof of
  (2637113681 − 1) / 26370		 click
102 728192 + 438192   15216 Oct 2012 Youcef Lemsafer - click
103 primB(181705)   15189 Feb 2012 Serge Batalov Lucas Aurifeuillian primitive part click
104 4183192700 + 418318   15179 Dec 2023 Alfred Reich - click
105 Φ(10092,44497)   15098 Jun 2016 Tom Wu Part of BLS primality proof of
  (4449710093 − 1) / 44496		 click
106 1015093 + 7   15094 Apr 2021 Alfred Reich - click
107 249989 − 499892   15049 Oct 2023 Tengfei Wang Leyland minus-form click
108 Fib(71983) / 2043438054776977   15028 Dec 2018 Serge Batalov Fibonacci cofactor click
109 2494779036241 • 249800 + 13   15004 Apr 2022 Serge Batalov Part of a CPAP-3 click
110 2494779036241 • 249800 + 7   15004 Apr 2022 Serge Batalov Part of a CPAP-3 click
111 1015000 − 8621   15000 Jan 2025 U.N.Owen - click
112 primB(268665)   14972 Apr 2019 Serge Batalov Lucas Aurifeuillian primitive part click
113 primV(75316)   14897 Dec 2015 Charles H (Chuck) Lasher;
  Harvey Dubner		 Lucas primitive part click
114 Φ(5015, − 10000)   14848 Apr 2013 Ray Chandler Unique click
115 primV(91322)   14847 Feb 2016 Charles H (Chuck) Lasher;
  Harvey Dubner		 Lucas primitive part click
116 Φ(13476,1852) / 38475181770440710933448053   14640 Aug 2015 Tom Wu Part of BLS primality proof of
  (185213477 − 1) / 1851		 click
117 primA(284895)   14626 Apr 2019 Serge Batalov Lucas Aurifeuillian primitive part click
118 1014600 + 7   14601 Jul 2020 Alfred Reich - click
119 See complete expression   14469 Jul 2016 Ray Chandler - click
120 Fib(69239) / 1384781   14464 Sep 2018 Serge Batalov Fibonacci cofactor click
121 M(48617) / M(797) / M(61)   14377 May 2019 Anonymous Mersenne cofactor click
122 1014357 − 2 • 1013570 − 3   14357 Mar 2022 Ray Chandler - click
123 Φ(9336,42417) / 46299256179289281554796097   14339 Jun 2024 Tom Wu Part of BLS primality proof of
  (424179337 − 1) / 42416		 click
124 primA(170575)   14258 Jan 2019 Serge Batalov Lucas Aurifeuillian primitive part click
125 Lucas(68213) / 7290202116115634431   14237 Aug 2018 Serge Batalov Lucas cofactor click
126 R(16597) / R(2371) / 29505775938311   14213 Jun 2016 Ray Chandler Repunit cofactor click
127 See complete expression   14139 Aug 2016 Ray Chandler - click
128 Φ(9318,36210) / 4494536789839233596781125043007   14130 Jun 2024 Tom Wu Part of BLS primality proof of
  (362109319 − 1) / 36209		 click
129 See complete expression   14078 Aug 2019 Serge Batalov - click
130 R(14011) / 3122892204966673507876545735955200724341171845519631387   13957 Jun 2016 Ray Chandler Repunit cofactor click
131 Φ(11490,38284) / 266998459447149619398404835337978513293521552530531   13956 Mar 2013 Tom Wu Part of BLS primality proof of
  (3828411491 − 1) / 38283		 click
132 Fib(67703) / Fib(857) / 14472334024676221   13954 Jul 2018 Serge Batalov Fibonacci cofactor click
133 Fib(66947) / 12485272838388758877279873712131648167413   13951 Apr 2017 Serge Batalov Fibonacci cofactor click
134 Lucas(66533) / 2128184670585621839884209100279   13875 Dec 2018 Serge Batalov Lucas cofactor click
135 6 • Bern(5534) / 226840561549600012633271691723599339   13862 Feb 2014 David Metcalfe; Thomas Ritschel;
  Jens Kruse Andersen		 Irregular click
136 B(66242)   13847 Apr 2018 Anonymous Brady number click
137 4410546 • Bern(5526) / 9712202742835546740714595866405369616019   13840 Apr 2018 Thomas Ritschel Irregular click
138 1013820 − 3   13820 Jun 2022 Markus Tervooren Near repdigit click
139 1013807 + 13807    13808 Nov 2023 Anonymous - click
140 (1013784 + 7) / 27771161176334419   13768 Mar 2021 Alfred Reich - click
141 4715140 + 5140471    13740 Mar 2023 Tengfei Wang Leyland plus-form click
142 1013726 − 5 • 1013419 − 3   13726 Mar 2022 Ray Chandler - click
143 1013681 − 5 • 102824 − 1   13681 Mar 2022 Ray Chandler Part of a twin prime click
144 1013681 − 5 • 102824 − 3   13681 Feb 2022 Ray Chandler Part of a twin prime click
145 primB(163595)   13675 Jul 2018 Serge Batalov Lucas Aurifeuillian primitive part click
146 4250! + 850! + 1   13578 Feb 2020 Peter Košinár - click
147 (418388 + 40) / 6353091241359073016116549653451   13498 May 2024 Alfred Reich Dual Williams cofactor click
148 See complete expression   13434 Apr 2016 Ray Chandler Repunit cofactor of R(41470) click
149 (37593759 + 37583758) / 8408153197032643414637   13417 Apr 2015 Rich Dickerson Lifchitz plus cofactor click
150 56667641271 • 244441 + 5   13389 Apr 2022 Oliver Kruse; Stephan Schöler Part of a prime triplet click
151 p(140380916)   13191 May 2022 Chuck Lasher Partitions click
152 p(140303751)   13187 May 2022 Chuck Lasher Partitions click
153 primU(94551)   13174 Apr 2018 Serge Batalov Fibonacci primitive part click
154 1013069 − 5 • 1012385 − 3   13069 Feb 2022 Ray Chandler - click
155 (1013023 + 7) / 6453389   13017 Mar 2021 Alfred Reich - click
156 primB(242295)   13014 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part click
157 See complete expression   12998 Dec 2018 Serge Baralov - click
158 (1013004 + 1) / 42169438422861046820890701594651723430036015657   12958 Apr 2016 Ray Chandler - click
159 See complete expression   12953 Apr 2016 Ray Chandler - click
160 See complete expression   12912 Mar 2016 Ray Chandler - click
161 Φ(12972,1549) / 33320592661   12903 Sep 2011 Tom Wu Part of BLS primality proof of
  (154912973 − 1) / 1548		 click
162 Fib(61813) / 2236143226659081266701   12897 Dec 2018 Serge Batalov Fibonacci cofactor click
163 See complete expression   12809 Mar 2016 Ray Chandler - click
164 (1012817 + 7) / 3030281866046117   12802 Feb 2021 Alfred Reich - click
165 primU(62771)   12791 Apr 2018 Serge Batalov Fibonacci primitive part click
166 (1012809 + 7) / 34790386359869004143   12790 Oct 2020 Alfred Reich - click
167 See complete expression   12779 Mar 2016 Ray Chandler Palindrome cofactor click
168 p(131328565)   12758 Mar 2017 Serge Batalov Partitions click
169 primA(154415)   12728 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part click
170 (1012602 − 1) / 9 − 106301   12602 Mar 2023 Tengfei Wang Near repunit click
171 primA(263865)   12570 Jun 2018 Serge Batalov Lucas Aurifeuillian primitive part click
172 6 • Bern(5078) / 643283455240626084534218914061   12533 May 2013 Thomas Ritschel Irregular click
173 M(41681) / 50021504124824209998331027904313150125767065389449583   12495 Apr 2015 Serge Batalov Mersenne cofactor click
174 M(41521) / 41602235382028197528613357724450752065089   12459 Aug 2012 Tom Wu Mersenne cofactor click
175 (1012454 + 7) / 465514545959   12443 Aug 2020 Alfred Reich - click
176 (22 • 268773+ 53) / 25   12414 Feb 2015 Anonymous - click
177 M(41263) / 1379707143199991617049286121   12395 Oct 2012 David Metcalfe Mersenne cofactor click
178 R(12413) / 71981093659479847827654672018603   12382 Feb 2016 Ray Chandler Repunit cofactor click
179 See complete expression   12372 Feb 2016 Ray Chandler - click
180 Fib(59369) / 24424236691484660394583037561699885688092693836440759407570209763004757   12337 Apr 2015 Serge Batalov Fibonacci cofactor click
181 p(122110618)   12302 Apr 2015 Serge Batalov Partitions click
182 (1012416 + 1) / (10128 + 1) / 216817628929793   12274 Jan 2016 Ray Chandler - click
183 See complete expression   12266 Jan 2021 Paul S. Vanderveen - click
184 See complete expression   12224 Jan 2016 Ray Chandler Palindrome cofactor click
185 primU(809,1,8662)   12214 Jul 2019 Serge Batalov Fibonacci primitive part click
186 p(120052058)   12198 Dec 2012 David Metcalfe Partitions click
187 (8008450840 • 240501 + 1) / 14886194409995637157139753229   12174 May 2017 Anonymous - click
188 Φ(5655,34120) / 2271359859904984234411620898291   12155 Mar 2012 Tom Wu Part of BLS primality proof of
  (3412011311− 1) / 34119		 click
189 (1012143 + 7) / 42686281893173706680658963579615275995302772319   12097 Sep 2020 Alfred Reich - click
190 (1012092 + 7) / 17674680705494895280031   12070 Sep 2020 Alfred Reich - click
191 (1012036 + 7) / 34769374508226918531515812507   12008 Mar 2024 Alfred Reich - click
192 664342014133 • 239840 − 29   12005 Mar 2020 Serge Batalov Part of a CPAP-3 click
193 664342014133 • 239840 − 59   12005 Apr 2020 Serge Batalov Part of a CPAP-3 click
194 (25153532 + 35322515) / 58788056567   12000 Oct 2018 Edwin Hall Leyland plus-form cofactor click
195 (200602792 − 200601396 + 1) / 6978841365608175696640474868614878036235777   11970 May 2015 Serge Batalov Cyclotomic polynomial cofactor click
196 (33773377 + 33763376) / 10748454158666113155842929899   11888 Aug 2013 Rich Dickerson Lifchitz plus cofactor click
197 R(14825) / R(2965) / 2385593169023127848787616597709045781314051389601   11812 Jan 2016 Ray Chandler Repunit cofactor click
198 See complete expression   11811 Dec 2021 Youcef Lemsafer - click
199 See complete expression   11737 Jan 2016 Ray Chandler Cyclotomic polynomial cofactor click
200 primA(143705)   11703 Apr 2017 Serge Batalov Lucas Aurifeuillian primitive part click
201 1011659 − 5 • 101092 − 1   11659 Feb 2022 Ray Chandler Part of a prime twin; near repdigit click
202 1011659 − 5 • 101092 − 3   11659 Feb 2022 Ray Chandler Part of a prime twin click
203 4207993863 • 238624 + 5   11637 Jun 2021 Frank Doornink Part of a prime triplet click
204 (Lucas(55654) + 1) / 4   11631 Dec 2018 Anonymous - click
205 primU(73025)   11587 Apr 2015 Serge Batalov Fibonacci primitive part click
206 primU(67781)   11587 Apr 2015 Serge Batalov Fibonacci primitive part click
207 (32953295 + 32943294) / 12740953   11585 Jun 2013 Rich Dickerson Lifchitz plus cofactor click
208 R(14485) / R(2897) / 51188280415874381036921   11566 Dec 2015 Ray Chandler Repunit cofactor click
209 primB(219165)   11557 May 2015 Serge Batalov Lucas Aurifeuillian primitive part click
210 primV(56356)   11557 Jun 2022 Chuck Lasher Lucas primitive part click
211 primV(58672)   11557 Jun 2022 Chuck Lasher Lucas primitive part click
212 primV(58672)   11557 Jun 2022 Chuck Lasher Lucas primitive part click
213 See complete expression   11545 Dec 2015 Ray Chandler - click
214 1011504 − 5 • 1010085 − 3   11504 Feb 2022 Ray Chandler - click
215 See complete expression   11504 Dec 2015 Ray Chandler - click
216 See complete expression   11499 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor click
217 See complete expression   11491 Dec 2015 Ray Chandler - click
218 238090 + 47269   11467 Feb 2012 Norman Luhn Dual Sierpinski Problem click
219 See complete expression   11466 Nov 2015 Ray Chandler - click
220 Fib(54799) / 4661437953906084533621577211561   11422 Jan 2015 David Broadhurst; Bouk de Water Fibonacci cofactor click
221 (26 • 1011373 minus; 449) / 9   11374 Jan 2021 Thomas Ritschel - click
222 Fib(54521) / 6403194135342743624071073   11370 Jan 2015 David Broadhurst; Bouk de Water Fibonacci cofactor click
223 327511 − 751132   11306 Nov 2023 Tengfei Wang Leyland minus-form click
224 (19 • 1011286 − 91) / 32297260888735659   11271 Nov 2023 Alfred Reich - click
225 See complete expression   11262 Nov 2015 Ray Chandler - click
226 1011225 − 8 • 109840 − 3   11225 Feb 2022 Ray Chandler - click
227 p(100077222)   11136 Nov 2012 David Metcalfe Partitions click
228 Fib(53189) / 69431662887136064191105625570683133711989   11075 Dec 2014 David Broadhurst; Bouk de Water Fibonacci cofactor click
229 primU(61733)   11058 Mar 2015 Serge Batalov Fibonacci primitive part click
230 14059969053 • 236672 − 5   11050 Jun 2018 Serge Batalov Part of a prime triplet click
231 See complete expression   11034 Nov 2015 Ray Chandler - click
232 Lucas(52859) / 1124137922466041911   11029 Oct 2014 David Broadhurst; Bouk de Water Lucas cofactor click
233 1011021 + 3   11022 Oct 2023 Alfred Reich - click
234 (145 • 236579 + 1) / 80640950291793   11000 May 2021 Anonymous - click
235 See complete expression   11000 May 2018 Edwin Hall - click
236 See complete expression   10998 Nov 2015 Ray Chandler - click
237 (31413141 + 31403140) / 508719649   10976 May 2013 Rich Dickerson Lifchitz plus cofactor click
238 See complete expression   10955 Oct 2015 Anonymous R(34278) cofactor click
239 (1010903 + 7) / 70972859   10896 Aug 2020 Alfred Reich - click
240 5553964 − 3964555   10879 Dec 2023 Tengfei Wang Leyland minus-form click
241 See complete expression   10861 Aug 2016 Anonymous Generalized Wagstaff cofactor click
242 Lucas(52201) / 70585804042896975505694709575919458733851279868446609   10857 Mar 2015 David Broadhurst; Bouk de Water Lucas cofactor click
243 Lucas(52009) / 39772636393178951550299332730909   10838 Mar 2015 David Broadhurst; Bouk de Water Lucas cofactor click
244 19803281 − 32811980   10817 Dec 2023 Tengfei Wang Leyland minus-form click
245 Lucas(51941) / 2808052157610902114547210696868337380250300924116591143641642866931   10789 Jan 2015 David Broadhurst; Bouk de Water Lucas cofactor click
246 3554226 − 4226355   10778 Dec 2023 Tengfei Wang Leyland minus-form click
247 1554914 − 4914155   10764 Dec 2023 Tengfei Wang Leyland minus-form click
248 417877 + 3   10764 Sep 2015 Frank Schickel Dual Williams prime click
249 745755 − 575574   10758 Nov 2023 Tengfei Wang Leyland minus-form click
250 3428602715439 • 235678 + 13   10753 Apr 2020 Serge Batalov Part of a sexy prime triplet click
251 3428602715439 • 235678 + 7   10753 Apr 2020 Serge Batalov Part of a sexy prime triplet click
252 (235851 + 1) / 270128075618416280186665624066753024458414196059   10745 Aug 2019 Anonymous Wagstaff cofactor click
253 811889 + 118898   10737 Feb 2012 Anonymous Leyland plus-form click
254 2394506 + 2384505   10718 Nov 2024 Anonymous - click
255 Lucas(51349) / 224417260052884218046541   10708 Sep 2014 David Broadhurst; Bouk de Water Lucas cofactor click
256 (235677 + 1) / 15923710079918268519082938436557873216969746649   10694 Feb 2020 Anand S Nair Wagstaff cofactor click
257 (1010684 + 1) / 27699508108389263492021113   10659 May 2013 Anonymous - click
258 188489 − 848918   10657 Oct 2023 Tengfei Wang Leyland minus-form click
259 Fib(51031) / 95846689435051369   10648 Sep 2014 David Broadhurst; Bouk de Water Lucas cofactor click
260 322316 + 2   10648 Oct 2015 Frank Schickel Dual Williams prime click
261 Lucas(50989) / 69818796119453411   10640 Aug 2014 David Broadhurst; Bouk de Water Lucas cofactor click
262 (245363571 • 235426 − 3) / 4840728260155155493606341384372091137139023   10630 Mar 2012 Anonymous - click
263 (1010647 + 7) / 582839970850610767067   10627 Aug 2020 Alfred Reich - click
264 (1013285 + 1) / (102657 + 1) / 9091   10625 Dec 2012 Ray Chandler - click
265 See complete expression   10603 Nov 2015 Ray Chandler Cyclotomic polynomial cofactor click
266 2683143625525 • 235176 + 13   10602 Dec 2019 Gerd Lamprecht; Norman Luhn Part of a sexy prime triplet click
267 2683143625525 • 235176 + 7   10602 Dec 2019 Gerd Lamprecht; Norman Luhn Part of a sexy prime triplet click
268 5223899 − 3899522   10597 Jan 2024 Tengfei Wang Leyland minus-form click
269 p(90048122)   10563 Oct 2012 David Metcalfe Partitions click
270 M(35339) / 49098843038498904028395440486235033667674267835480981233904512709297747031041   10562 Apr 2015 Serge Batalov Mersenne cofactor click
271 1213266377 • 235000 + 4859   10546 Mar 2014 David Broadhurst Part of a CPAP-3; d = 2430 click
272 1213266377 • 235000 + 2429   10546 Mar 2014 David Broadhurst Part of a CPAP-3; d = 2430 click
273 1043085905 • 235000 + 18197   10546 Feb 2014 David Broadhurst Part of a CPAP-3; d = 18198 click
274 1043085905 • 235000 − 18199   10546 Feb 2014 David Broadhurst Part of a CPAP-3; d = 18198 click
275 109061779 • 235003 + 11855   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 5928 click
276 109061779 • 235003 + 5927   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 5928 click
277 350049825 • 235000 + 7703   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 3852 click
278 350049825 • 235000 + 3851   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 3852 click
279 146462479 • 235001 − 8767   10545 Dec 2013 David Broadhurst Part of a CPAP-3; d = 8766 click
280 (19 • 1010515 + 287) / 9   10516 Jul 2022 Alfred Reich - click
281 primU(55297)   10483 Sep 2014 David Broadhurst; Bouk de Water Fibonacci primitive part click
282 Φ(561,43669) / 361212114583   10472 Jun 2012 Andrew A. D. Steward - click
283 (234772 + 1) / 24665523763537   10455 Feb 2020 Anonymous - click
284 1215018 − 5018121   10452 Nov 2023 Tengfei Wang Leyland minus-form click
285 21213140 − 31402121   10446 Nov 2023 Tengfei Wang Leyland minus-form click
286 (19 • 1010435 + 521) / 9   10436 Jul 2024 Alfred Reich - click
287 234653 + 346532   10432 Sep 2012 Anonymous Leyland plus-form click
288 3221449497221499 • 234567 + 5   10422 Aug 2015 Peter Kaiser Part of a prime triplet click
289 1288726869465789 • 234567 − 5   10421 Apr 2014 Peter Kaiser Part of a prime triplet click
290 (1010418 − 105209 + 1) / 139361677   10410 Nov 2015 Ray Chandler - click
291 See complete expression   10398 Nov 2015 Ray Chandler R(10679) cofactor click
292 (1010393 + 7) / 96851   10389 May 2021 Alfred Reich - click
293 8733530 − 3530873   10382 Dec 2023 Tengfei Wang Leyland minus-form click
294 Φ(4641,32556) / 21822667391000664007   10378 Jul 2012 Tom Wu Part of BLS primality proof of
  of (325569283 − 1) / 32555		 click
295 See complete expression   10376 Nov 2018 Serge Batalov - click
296 417226 − 3   10372 Dec 2023 Matteo D'Aniello Dual Williams prime click
297 See complete expression   10355 Oct 2023 Alfred Reich Cyclotomic polynomial cofactor
  of R(34386)		 click
298 ( 19 • 1010338 + 719) / 9   10339 Jun 2024 Alfred Reich - click
299 See complete expression   10313 May 2025 Anonymous - click
300 Lucas(49391) / 298414424560419239   10305 Jun 2013 David Broadhurst; Bouk de Water Lucas cofactor click
301 (19 • 1010296 − 1) / 9   10297 Feb 2012 Markus Tervooren - click
302 379 • 1010274 + 9   10277 Jan 2025 Anonymous - click
303 (234127 − 2) / 34127 + 1   10269 Mar 2025 Anonymous - click
304 26802987 + 29872680   10240 Oct 2017 Rich Dickerson Leyland plus-form click
305 27352974 + 29742735   10222 Sep 2017 Rich Dickerson Leyland plus-form click
306 ⌊(√42 • 1010212)⌋ % 1010212   10212 Jan 2016 Anonymous first 10212 digits of √42 click
307 613030 + 5   10140 Aug 2015 Frank Schickel Dual Williams prime click
308 647935598824239 • 233619 + 5   10136 May 2019 Peter Kaiser Part of a prime triplet click
309 209102639346537 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet click
310 185353103135997 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet click
311 162615027598677 • 233620 + 5   10135 May 2019 Peter Kaiser Part of a prime triplet click
312 667674063382677 • 233608 + 7   10132 Feb 2019 Peter Kaiser Part of first known
  gigantic prime quadruplet		 click
313 667674063382677 • 233608 + 5   10132 Feb 2019 Peter Kaiser Part of first known
  gigantic prime quadruplet		 click
314 primV(77292)   10112 Jun 2014 Charles H (Chuck) Lasher; Harvey Dubner Lucas primitive part click
315 p(82479677)   10109 Sep 2012 David Metcalfe Partitions click
316 621988357825221 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet click
317 489294113456196 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet click
318 p(82352631)   10101 Sep 2012 Larry Soule Partitions click
319 429915684905751 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet click
320 79417260617886 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet click
321 68048224519176 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet click
322 56107655772636 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet click
323 50917051471806 • 233505 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
324 90585694774959 • 233503 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
325 633669130955577 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
326 596754028175112 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
327 558173000087697 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
328 551381480912562 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
329 13994628271791 • 233505 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
330 442066703275842 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
331 405970802435022 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
332 356410982223402 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
333 233548 + 4471   10099 Jul 2012 Norman Luhn Dual Sierpinski Problem click
334 171013289842167 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet click
335 145360980646197 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet click
336 140892134560437 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet click
337 28387857090561 • 233501 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet click
338 81505264551807 • 233444 + 5   10082 Jul 2012 Peter Kaiser Part of a prime triplet click
339 296886 + 688629   10071 Jul 2021 Oliver Kruse Leyland plus-form click
340 See complete expression   10066 Feb 2013 Rocke Verser Cyclotomic polynomial cofactor click
341 See complete expression   10060 Oct 2015 Anonymous Cyclotomic polynomial cofactor
  of R(45150)		 click
342 1191713 • 233337 − 6269   10042 Nov 2013 Anonymous - click
343 1191713 • 233337 − 12539   10042 Nov 2013 Anonymous - click
344 5073712 + 3712507   10041 Aug 2019 Dylan Delgado Leyland plus-form click
345 18416522281203 • 233222 + 11   10015 Jan 2020 Peter Kaiser Part of a sexy prime triplet click
346 18416522281203 • 233222 + 5   10015 Jan 2020 Peter Kaiser Part of a sexy prime triplet click
347 (7 • 1010014 + 11) / 9 + 2 • 103046   10014 Jan 2015 Serge Batalov Part of a prime twin click
348 (7 • 1010014 - 7) / 9 + 2 • 103046   10014 Jan 2015 Serge Batalov Part of a prime twin; near repdigit click
349 1010010 + 1392367683   10011 Oct 2025 Anonymous - (new) click
350 (1010002 − 1) / 9 − 102872   10002 Feb 2023 Tengfei Wang Near repunit click
351 See complete expression   10001 Sep 2012 Anonymous - click
352 956157 • 109994 + 711826   10000 Dec 2014 Anonymous - click
353 905832 • 109994 + 711826   10000 Mar 2018 Ben Chaffin - click
354 840879 • 109994 + 711826   10000 May 2023 Anonymous - click
355 See complete expression   10000 Jun 2018 Dennis Sydekum - click
356 1524583 − 1514583   10000 Sep 2012 Mike Oakes Oakes number click
357 (7863457 + 3457786) / 14356930135   10000 May 2018 Edwin Hall Leyland plus-form cofactor click
358 Fib(47848)+87736   10000 Mar 2024 Anonymous - click
359 ((11476 • 1035 + 9731)256 + 1) / 2   10000 Jul 2020 Anonymous Generalized half-Fermat click
360 109999 + 2421018649   10000 Jun 2021 Norman Luhn Part of smallest
  10000-digit prime twin		 click
361 109999 + 2421018651   10000 Jun 2021 Norman Luhn Part of smallest
  10000-digit prime twin		 click
362 109999 + 131673   10000 May 2024 Mohammad Raja - click
363 109999 + 33603   10000 Apr 2013 Alfred Reich Smallest giantic prime
  re-certified via Primo		 click
364 109999 − 11333   9999 Feb 2021 Robert Gelhar - click
365 1654504 + 4504165   9988 Jul 2021 Oliver Kruse Leyland plus-form click
366 17813070 + 30701781   9980 Jul 2021 Oliver Kruse Leyland plus-form click
367 711796 + 117967   9969 Mar 2012 Rich Dickerson Leyland plus-form click
368 (241365 + 1) / (28273 + 1) / 11   9961 Feb 2020 Anonymous Wagstaff cofactor click
369 See complete expression   9952 Aug 2020 Serge Batalov - click
370 416514 + 3   9943 Feb 2024 Tengfei Wang Dual Williams prime click
371 M(35737) / M(2749) / M(13)   9927 Jan 2020 Anonymous Mersenne cofactor click
372 (19 • 109909 + 593) / 63   9909 Jun 2024 Alfred Reich - click
373 320746 − 2   9899 Aug 2015 Frank Schickel Dual Williams prime click
374 (19 • 109892 +359) / 27261   9889 Jun 2024 Alfred Reich - click
375 (109893 + 7) / 6100427   9887 Jul 2019 Alfred Reich - click
376 See complete expression   9883 Jul 2015 Anonymous Palindrom cofactor click
377 (19 • 109885 − 73) / 713739951   9878 Jun 2024 Alfred Reich - click
378 Φ(4575,13117) / 12217779064071806064220724881552951   9849 Jun 2024 Tom Wu Part of BLS primality proof of
  (131179151 − 1) / 13116		 click
379 15683081 + 30811568   9845 Jul 2021 Oliver Kruse Leyland plus-form click
380 (19 • 109839 + 107) / 2871   9837 Jun 2024 Alfred Reich - click
381 (19 • 109830 − 91) / 19791   9827 Nov 2022 Alfred Reich - click
382 12563171 + 31711256   9827 Jul 2021 Oliver Kruse Leyland plus-form click
383 (19 • 109827 + 611) / 49383   9824 Jun 2024 Alfred Reich - click
384 (8 • 109812 + 1) / 9   9812 Aug 2011 Markus Tervooren Near repdigit click
385 11823185 + 31851182   9787 Jul 2021 Oliver Kruse Leyland plus-form click
386 M(32531) / 1641222175081417   9778 Sep 2012 Youcef Lemsafer Mersenne cofactor click
387 (19 • 109765 − 91) / 59499   9762 Nov 2022 Alfred Reich - click
388 (109771 + 3) / 1085352492397   9759 May 2019 Alfred Reich - click
389 715270 + 175270 + 3   9757 Mar 2020 Robert Gelhar - click
390 (19 • 109757 − 91) / 88973127714315781233   9739 Jan 2023 Alfred Reich - click
391 M(32611) /  
1514800731246429921091778748731899943932296901864652928732838910515860494755367311  		 9736 Jul 2018 Serge Batalov Mersenne cofactor click
392 (232369 + 1) / 2925639699   9735 Jul 2019 Anonymous Wagstaff cofactor click
393 (19 • 109735 + 737) / 12717   9733 Jun 2024 Alfred Reich - click
394 (19 • 109737 + 719) / 75927861   9731 Jun 2024 Alfred Reich - click
395 (109749 + 1) / 12118551125385605197   9730 Jul 2015 Anonymous Generalized Wagstaff cofactor click
396 (232377 + 1) / 2420521622843587873017149019102968542017   9708 Jul 2019 Anonymous Wagstaff cofactor click
397 (19 • 109701 − 73) / 77298343045960041   9686 Jun 2024 Alfred Reich - click
398 (19 • 109673 + 161) / 1053   9672 Jun 2024 Alfred Reich - click
399 (109736 + 1) /  
127414554941037429648145286239939106469195284723098047037717521807235313  		 9665 Jul 2023 Alfred Reich Generalized Wagstaff cofactor click
400 1214638 − 4638121   9660 Oct 2023 Tengfei Wang Leyland minus-form click
401 (109664 + 7) / 964073303341887456654835974225343680123715736108858219   9611 Jul 2020 Alfred Reich - click
402 Lucas(45953) / 4561241750239   9591 Mar 2012 Larry Soule; Predrag Minovic Lucas cofactor click
403 (19 • 109585 + 449) / 9   9586 Jun 2024 Alfred Reich - click
404 15632996 + 29961563   9570 Sep 2017 Rich Dickerson Leyland plus-form click
405 20352892 + 28922035   9569 Sep 2017 Rich Dickerson Leyland plus-form click
406 M(32551) / M(757) / M(43) / 585919   9553 Jun 2022 Will Edgington Mersenne cofactor click
407 (109584 + 3) / 839195807458860335859628417958089   9552 May 2019 Alfred Reich - click
408 10053178 + 31781005   9541 Jul 2021 Oliver Kruse Leyland plus-form click
409 2523967 − 3967252   9527 Nov 2023 Tengfei Wang Leyland minus-form click
410 E(3308) / 39308792292493140803643373186476368389461245   9516 Jun 2014 David Broadhurst; Bouk de Water Euler irregular click
411 (101 • 1010322 + 1) / (10794 + 1) / (1026 + 1)   9505 Dec 2012 Ray Chandler Palindrome cofactor click
412 231544 + 19081   9496 May 2012 Ivan Panchenko - click
413 (231601 + 1) / 1485259667656431321   9495 Jul 2019 Anonymous - click
414 26402771 + 27712640   9482 Jan 2016 Rich Dickerson Leyland plus-form click
415 25602779 + 27792560   9472 Jan 2016 Rich Dickerson Leyland plus-form click
416 (79 • 1214545 − 1) / 6   9468 Apr 2018 Dennis Sydekum - click
417 3153784 + 3784315   9454 Jul 2021 Oliver Kruse Leyland plus-form click
418 See complete expression   9453 Oct 2023 Alfred Reich Cyclotomic polynomial cofactor of
  R(29382)		 click
419 3153782 + 3782315   9449 Jul 2021 Oliver Kruse Leyland plus-form click
420 (19 • 109432 − 73) / 29248838887212027   9417 Jun 2024 Alfred Reich - click
421 (19 • 109420 + 773) / 19638051717439496545083   9399 Jun 2024 Alfred Reich - click
422 10783099 + 30991078   9399 Jul 2021 Oliver Kruse Leyland plus-form click
423 (233167 + 1) / (21951 + 1) / 11592838867   9387 Jan 2020 Anonymous Wagstaff cofactor click
424 Fib(49313) / Fib(4483) / 26333053   9362 Mar 2017 Jonathan A. Zylstra Fibonacci cofactor click
425 See complete expression   9361 Jul 2015 Anonymous - click
426 379 • 109318 + 9   9321 Jan 2025 Anonymous - click
427 16712890 + 28901671   9315 Aug 2017 Rich Dickerson Leyland plus-form click
428 (19 • 109303 + 233) / 477   9302 Jun 2024 Alfred Reich - click
429 Lucas(44507)   9302 May 2017 Jonathan A. Zylstra Lucas number click
430 705041 + 71140   9302 Jul 2021 Oliver Kruse Leyland plus-form click
431 148115 − 811514   9301 Oct 2023 Tengfei Wang Leyland minus-form click
432 8883151 − 3151888   9291 Dec 2023 Tengfei Wang Leyland minus-form click
433 (19 • 109290 + 791) / 117   9290 Jun 2024 Alfred Reich - click
434 (19 • 109260 + 773) / 24965206284135720119751685856774259   9227 Jun 2024 Alfred Reich - click
435 24452722 + 27222445   9223 Jan 2016 Rich Dickerson Leyland plus-form click
436 22002759 + 27592200   9222 Jan 2016 Rich Dickerson Leyland plus-form click
437 (109240 + 7) / 3774896489708919206291732878054783   9207 May 2019 Alfred Reich - click
438 3033710 + 3710303   9207 Jul 2021 Oliver Kruse Leyland plus-form click
439 Lucas(43987) / 175949   9188 May 2014 David Broadhurst; Bouk de Water Lucas cofactor click
440 (109206 + 7) / 688048921992466924229853435833   9177 Jun 2019 Alfred Reich - click
441 319217 − 2   9169 Jul 2015 Frank Schickel Dual Williams prime click
442 24512696 + 26962451   9138 May 2015 Rich Dickerson Leyland plus-form click
443 p(67230446)   9126 Mar 2012 Rich Dickerson Partitions click
444 See complete expression   9124 May 2022 Serge Batalov Mersenne cofactor of M(33511) click
445 26582659 + 26592658   9106 Nov 2021 Oliver Kruse Leyland plus-form click
446 (19 • 109082 + 413) / 9   9083 Jul 2024 Alfred Reich - click
447 21972716 + 27162197   9077 Dec 2021 Oliver Kruse Leyland plus-form click
448 (19 • 109083 + 107) / 1342008931131   9073 Jun 2024 Alfred Reich - click
449 (341 • 109065 − 71) / 9   9067 Feb 2024 Martin J. Weiss - click
450 (235147 + 1) / (25021 + 1) / 59023130377   9059 Dec 2019 Anonymous Wagstaff cofactor click
451 (109076 + 7) / 24950192569182005996168561   9051 Jun 2019 Alfred Reich - click
452 (109094 + 7) / 8489726252769008928210183216883736569138799459   9049 Jun 2019 Alfred Reich - click
453 See complete expression   9048 Jul 2019 Serge Batalov - click
454 (145 • 229996 − 1) / 264953075691   9021 Nov 2016 Anonymous - click
455 23192680 + 26802319   9020 Nov 2021 Oliver Kruse Leyland plus-form click
456 Fib(43399) / 470400609575881344601538056264109423291827366228494341196421   9010 Sep 2013 David Broadhurst; Bouk de Water Fibonacci cofactor click
457 (23772667 − 26672377) / 58   9003 Sep 2019 Geoffrey Yeung Leyland minus-form cofactor click
458 (109002 − 1) / 9 − 10480   9002 Mar 2023 Tengfei Wang Near repunit click
459 See complete expression   9000 May 2018 Edwin Hall - click
460 (109000 − 1) / 9 − 10417   9000 Feb 2023 Tengfei Wang Near repunit click
461 (109000 − 1) / 9 − 102917   9000 Sep 2023 U.N.Owen Near repunit click
462 108999 + 13215873   9000 Jun 2021 Robert Gelhar Smallest 9000-digit twin prime click
463 108999 + 13215871   9000 Jun 2021 Robert Gelhar Smallest 9000-digit twin prime click
464 108999 + 3541   9000 Jun 2021 Robert Gelhar Smallest 9000-digit prime click
465 379 • 108984 + 9   8987 Dec 2024 Anonymous - click
466 (230907 + 1) / (2997 + 1) / 42859523044179292792213494693982721   8970 Dec 2019 Anonymous - click
467 (108994 − 104497 + 1) / 11895404146077468567164851464240122067221371   8951 Jun 2015 Anonymous Cyclotomic polynomial cofactor of
  R(26982)		 click
468 229727 + 20273   8949 May 2012 Ivan Panchenko - click
469 16322779 + 27791632   8929 Jan 2016 Rich Dickerson Leyland plus-form click
470 (19 • 108929 + 503) / 693   8928 Jun 2024 Alfred Reich - click
471 (19 • 108941 − 37) / 2056436134208397   8927 Jun 2024 Alfred Reich - click
472 primU(44113)   8916 Apr 2014 David Broadhurst; Bouk de Water Fibonacci primitive part click
473 Fib(42829) / 107130175995197969243646842778153077   8916 Apr 2014 David Broadhurst; Bouk de Water Fibonacci number cofactor click
474 (108911 + 7) / 106949069752220901578580747713983   8879 May 2019 Alfred Reich - click
475 20532680 + 26802053   8878 Dec 2015 Rich Dickerson Leyland plus-form click
476 (19 • 108877 + 791) / 359019   8873 Jun 2024 Alfred Reich - click
477 7123107 + 3107712   8863 Jul 2021 Oliver Kruse Leyland plus-form click
478 (19 • 108844 + 341) / 9   8845 Jul 2024 Alfred Reich - click
479 (19 • 108856 − 91) / 1260316013443551   8843 Dec 2022 Alfred Reich - click
480 5533222 + 3222553   8838 Jul 2021 Oliver Kruse Leyland plus-form click
481 229355 + 293552   8837 Sep 2012 Anonymous Leyland plus-form click
482 M(29473) / 139640239316440423720389373549494109943   8835 Sep 2012 David Metcalfe Mersenne cofactor click
483 (229437 + 1) / 85458319381840924489296618274137   8830 Nov 2018 Anand S Nair Wagstaff cofactor click
484 primV(44914)   8828 Apr 2024 Matteo D'Aniello Lucas primitive part click
485 (415486 + 40) / 8034382267731461503032440850084487   8814 May 2024 Alfred Reich Dual Williams cofactor click
486 11362883 + 28831136   8809 Sep 2017 Rich Dickerson Leyland plus-form click
487 (108839 + 7) / 2921645850231053827524861183061   8809 Jul 2019 Alfred Reich - click
488 23482613 + 26132348   8808 Jun 2015 Rich Dickerson Leyland plus-form click
489 19042685 + 26851904   8806 May 2015 Rich Dickerson Leyland plus-form click
490 12892826 + 28261289   8790 Aug 2017 Rich Dickerson Leyland plus-form click
491 (19 • 108802 − 37) / 85824491234507973    8787 Jun 2024 Alfred Reich - click
492 Fib(42043) / 1681721   8780 Jan 2012 Larry Soule; Predrag Minovic Fibonacci cofactor click
493 714716 + 471671   8731 Aug 2019 Dylan Delgado Leyland plus-form click
494 21292622 + 26222129   8727 Dec 2015 Rich Dickerson Leyland plus-form click
495 (229027 + 1) / 478164532867998705699   8718 Oct 2018 Anand S Nair Wagstaff cofactor click
496 3 • (229441 + 1) / (2499 + 1) / (259 + 1)   8696 Dec 2019 Anonymous Wagstaff cofactor click
497 (108708 + 7) / 2307119749003201816349   8687 May 2019 Alfred Reich - click
498 (914421 − 1) / 90   8659 May 2020 Robert Gelhar Generalized repunit click
499 (19 • 108655 + 287) / 207   8654 Oct 2021 Alfred Reich - click
500 M(28771) / 104726441   8653 Jun 2012 Larry Soule; Predrag Minovic Mersenne cofactor click
501 M(28759) / 226160777   8649 Sep 2012 Youcef Lemsafer Mersenne cofactor click
502 Φ(36630,10)   8641 Feb 2012 Ray Chandler - click
503 (19 • 108629 + 683) / 9   8630 Jun 2024 Alfred Reich - click
504 See complete expression   8629 Jun 2015 Anonymous Cyclotomic polynomial cofactor
  of R(30744)		 click
505 (108658 + 7) / 4339830274468560950273475329301323   8625 Jun 2019 Alfred Reich - click
506 See complete expression   8614 Jul 2018 Anonymous Generalized Wagstaff cofactor click
507 17022665 + 26651702   8611 May 2015 Rich Dickerson Leyland plus-form click
508 101 • (109334 + 1) / (10718 + 1) / (1026 + 1)   8593 Feb 2012 Ray Chandler Palindrome cofactor click
509 (19 • 108587 − 37) / 26148303   8581 Jun 2024 Alfred Reich - click
510 See complete expression   8575 Oct 2011 Anonymous - click
511 See complete expression   8574 Jan 2024 Anonymous Mersenne cofactor of M(36127) click
512 (108591 + 7) / 1572804278963514505019413   8567 Jun 2019 Alfred Reich - click
513 (108574 − 104287 + 1) / 77089910167   8564 Jun 2015 Anonymous - click
514 415298 + 145298 + 2   8545 Mar 2020 Robert Gelhar - click
515 B(40850)   8541 Apr 2018 Anonymous Brady number click
516 (108555 + 7) / 2055629930687439450115007   8531 Jun 2019 Alfred Reich - click
517 (25212521 + 25202520) / 30494403934443087995870273408919980828188816057   8529 Dec 2012 Rich Dickerson Lifchitz plus-form cofactor click
518 Fib(40763) / 643247084652261620737   8498 Nov 2013 David Broadhurst; Bouk de Water Fibonacci cofactor click
519 18672596 + 25961867   8492 Dec 2015 Rich Dickerson Leyland plus-form click
520 24242495 + 24952424   8445 Jun 2017 Rich Dickerson Leyland plus-form click
521 B(40313)   8429 Apr 2018 Anonymous Brady number click
522 M(28381) / M(281) / M(101) / 44274361   8421 Apr 2021 Will Edgington Mersenne cofactor click
523 (107 • 227929 − 1) / 21   8409 Jun 2024 Alfed Reich - click
524 (108443 + 1) / 49968217602794509828532608066556122847   8406 Jul 2015 Anonymous Generalized Wagstaff cofactor click
525 24322481 + 24812432   8401 Jul 2017 Rich Dickerson Leyland plus-form click
526 primU(46711)   8367 Oct 2013 David Broadhurst; Bouk de Water Fibonacci primitive part click
527 20312528 + 25282031   8362 Jun 2017 Rich Dickerson Leyland plus-form click
528 See complete expression   8343 Jun 2015 Anonymous Repunit cofactor of R(16815) click
529 (19 • 375310 + 1) / 4   8328 Mar 2018 Dennis Sydekum - click
530 M(34585) / M(6917) / M(5)   8328 Nov 2019 Anonymous Mersenne cofactor click
531 See complete expression   8312 Apr 2020 Alfred Reich - click
532 (24542454 + 24532453) / 52030091043857   8306 Nov 2012 Rich Dickerson Lifchitz plus-form cofactor click
533 9162803 + 2803916   8303 Aug 2017 Rich Dickerson Leyland plus-form click
534 Lucas(39769) / 18139109172816581   8295 Nov 2013 David Broadhurst; Bouk de Water Lucas cofactor click
535 604663 − 594663   8292 May 2020 Robert Gelhar Oakes number click
536 20170108 • 108283 + 39   8291 Oct 2015 Peter Kaiser - click
537 903445893 • 610628 + 5   8280 Oct 2013 Serge Batalov Part of a prime triplet click
538 Lucas(39607) / 158429   8273 Dec 2011 Bernardo Boncompagni Lucas cofactor click
539 (108286 + 3) / 645296960632812487   8269 May 2019 Alfred Reich - click
540 68 • (108264 − 1) / 99 − 1   8264 Sep 2020 Robert Gelhar - click
541 See complete expression   8264 May 2015 Anonymous Repunit cofactor of R(10703) click
542 See complete expression   8259 Jun 2019 Will Edgington Wagstaff cofactor click
543 8362823 + 2823836   8250 Aug 2017 Rich Dickerson Leyland plus-form click
544 (108264 − 104132 + 1) / 13361777429570406073   8245 May 2015 Anonymous Cyclotomic polynomial cofactor
  of R(24792)		 click
545 108239 − 8 • 108026 − 3   8239 Feb 2022 Ray Chandler - click
546 (108248 + 7) / 912402062635530228013600567   8222 Apr 2020 Alfred Reich - click
547 19 • (108210 − 37) / 81   8210 Jun 2024 Alfred Reich - click
548 (108235 + 3) / 633967301273017126240803413322378221077   8197 May 2019 Alfred Reich - click
549 5552986 − 2986555   8195 Oct 2023 Tengfei Wang Leyland minus-form click
550 (30852351 − 1) / 45252716055747420588   8184 Nov 2011 Anonymous Generalized repunit cofactor click
551 primU(62373)   8173 Oct 2013 David Broadhurst; Bouk de Water Fibonacci primitive part click
552 See complete expression   8166 May 2015 Anonymous Mersenne cofactor of M(51375) click
553 (108209 − 1) / 387027639720180030671334569044632439433106097191   8162 Aug 2023 Alfred Reich Repunit cofactor click
554 (24132413 + 24122412) / 6458645951   8153 Dec 2012 Rich Dickerson Lifchitz plus-form cofactor click
555 (108165 + 7) / 153665893445225269   8148 Jul 2019 Alfred Reich - click
556 20942453 + 24532094   8147 Jul 2017 Rich Dickerson Leyland plus-form click
557 (19 • 108146 + 503) / 9   8147 Jul 2024 Alfred Reich - click
558 18582489 + 24891858   8137 Jul 2017 Rich Dickerson Leyland plus-form click
559 4833028 + 3028483   8127 Sep 2018 Anonymous Leyland plus-form click
560 See complete expression   8125 Oct 2011 Anonymous - click
561 16472518 + 25181647   8100 Jul 2021 Oliver Kruse Leyland plus-form click
562 M(28481) / M(1499) / 57795580141067427676103   8100 Nov 2021 Will Edgington Mersenne cofactor click
563 (2 • 108088 − 11) / 9   8088 Dec 2020 Anonymous Near repdigit click
564 (19 • 108069 + 539) / 9   8070 Jun 2024 Alfred Reich - click
565 1973514 + 3514197   8063 Jul 2021 Oliver Kruse Leyland plus-form click
566 M(26903) / 1113285395642134415541632833178044793   8063 Dec 2011 Alexander Gramolin Mersenne cofactor click
567 (12752593 − 1) / 1274   8050 Apr 2019 Rich Dickerson Generalized repunit cofactor click
568 M(29557) / M(2687) / 2551723989369899135276396114560274078129   8050 Mar 2022 Will Edgington Mersenne cofactor click
569 19952438 + 24381995   8046 Jul 2021 Oliver Kruse Leyland plus-form click
570 (19 • 108041 − 37) / 9   8042 Nov 2023 Alfred Reich - click
571 M(29579) / M(2689) / 495557404683721214919524583128095295252776566709847213932561   8036 Apr 2022 Will Edgington Mersenne cofactor click
572 (108043 + 7) / 14710149989   8033 Jun 2019 Alfred Reich - click
573 79500 + 6   8029 Oct 2023 Alfred Reich Dual Williams prime click
574 (19 • 108038 − 37) / 173238212493   8029 Jul 2024 Alfred Reich - click
575 See complete expression   8022 May 2020 Serge Batalov Cyclotomic polynomial
  generalized repunit cofactor		 click
576 108020 − 8 • 103878 − 3   8020 Feb 2022 Ray Chandler - click
577 117699 − 107699   8018 Feb 2018 Ray Chandler Oakes number click
578 (88 • 108012 + 101) / 9   8013 Nov 2016 Anonymous - click
579 See complete expression   8012 Apr 2014 Anonymous Generalized repunit cofactor click
580 p(51831641)   8012 Sep 2012 Larry Soule; Predrag Minovic Partitions click
581 17422471 − 24711742   8009 Nov 2020 Anonymous Leyland minus-form click
582 108007 + 21   8008 Nov 2022 Pakaran - click
583 (108004 + 72) / 8   8004 Sep 2023 U.N.Owen - click
584 (108004 − 1) / 9 − 1051   8004 Feb 2023 Tengfei Wang Near repunit click
585 (108001 − 1) / 9 − 102533   8001 May 2023 Tengfei Wang Near repunit click
586 (156803 − 46803) / 11   8000 Feb 2018 Ray Chandler - click
587 See complete expression   8000 Mar 2018 Edwin Hall Leyland minus-form cofactor click
588 (57272131 + 1) / 952102432   8000 Jan 2021 Anonymous - click
589 (108000 − 1) / 9 − 10938   8000 Feb 2023 Tengfei Wang Near repunit click
590 107999 + 59692204797   8000 Jul 2023 Norman Luhn Part of smallest
  8000-digit prime triplet		 click
591 107999 + 439617141   8000 Jun 2021 Robert Gelhar Part of smallest
  8000-digit prime twin		 click
592 107999 + 439617139   8000 Jun 2021 Robert Gelhar Part of smallest
  8000-digit prime twin		 click
593 107999 + 35887   8000 Jun 2021 Robert Gelhar Smallest 8000-digit prime click
594 (19 • 107993 + 197) / 9   7994 Jul 2024 Alfred Reich - click
595 6662831 + 2831666   7994 Aug 2017 Rich Dickerson Leyland plus-form click
596 (166637 + 56637) / 21   7991 Feb 2018 Ray Chandler - click
597 (35 • 107982 − 521) / 9   7983 Apr 2019 Alfred Reich - click
598 10942625 + 26251094   7978 Dec 2015 Rich Dickerson Leyland plus-form click
599 614468 + 446861   7977 Jan 2013 Youcef Lemsafer Leyland plus-form click
600 primU(43121)   7975 Aug 2013 David Broadhurst; Bouk de Water Fibonacci primitive part click
601 See complete expression   7963 Jul 2019 Serge Batalov - click
602 (61 • 107959 − 133) / 9   7960 Apr 2019 Alfred Reich - click
603 6 • Bern(3458) / 28329084584758278770932715893606309   7945 Feb 2013 David Broadhurst; Bouk de Water Irregular click
604 413175 − 3   7933 Jul 2012 Frank Schickel Dual Williams prime click
605 (107949 + 7) / 871923742919802447415612982689   7920 Jun 2019 Alfred Reich - click
606 574507 − 564507   7914 Jan 2018 Ray Chandler Oakes number click
607 101918 • (106660 + 9 − 10667) / (9 • 10666 − 9) + 1   7912 Sep 2025 Anonymous - click
608 610163 − 101636   7909 Sep 2023 Tengfei Wang Leyland minus-form click
609 Fib(37987) / 1832721858208455887947958246414213   7906 Sep 2012 Predrag Minovic Fibonacci cofactor click
610 (19 • 107886 − 37) / 113698647   7880 May 2023 Alfred Reich - click
611 p(50001890)   7869 Sep 2012 Bernardo Boncompagni Partitions click
612 (107907 + 7) / 1114497964121333572948008178967784389151991   7865 Jul 2019 Alfred Reich - click
613 11342573 + 25731134   7860 Jun 2017 Rich Dickerson Leyland plus-form click
614 (107914 + 7) / 1396957215538716377069512578547816287966354283978705678029668659   7851 Jun 2019 Alfred Reich - click
615 (107864 + 1) / 47184100471841   7851 May 2015 Anonymous - click
616 primB(145545)   7824 Sep 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part click
617 (107847 + 7) / 577154762758672603543575847071689   7815 Jul 2020 Alfred Reich - click
618 primV(56058)   7810 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part click
619 (23 • 79235 − 11) / 6   7806 Apr 2022 Anonymous - click
620 Lucas(37357) / 20210113386303842894568629   7782 Sep 2013 David Broadhurst; Bouk de Water Lucas cofactor click
621 101788 • (106660 + 9 − 10667) / (9 • 10666 − 9) + 1   7782 Sep 2025 Anonymous - click
622 See complete expression   7775 May 2015 Anonymous Repunit cofactor of R(12351) click
623 Fib(37217) / 4466041   7771 Sep 2012 Bernardo Boncompagni Fibonacci cofactor click
624 See complete expression   7768 May 2015 Anonymous - click
625 (156599 + 26599) / 17   7760 Jan 2018 Ray Chandler - click
626 (6832741 + 1) / 3043346368764276   7754 Oct 2011 Anonymous Generalized Wagstaff cofactor click
627 M(25933) / 7509131206200733798686591313477116352684279376232375492756406796303   7740 Dec 2016 Anonymous Mersenne cofactor click
628 (107736 + 1) / 1547300015473   7724 May 2015 Anonymous - click
629 1013853 − 1003853   7723 Jan 2018 Ray Chandler Oakes number click
630 17102383 + 23831710   7705 Jan 2015 Rich Dickerson Leyland plus-form click
631 Lucas(36779)   7687 Jan 2017 Jonathan A. Zylstra Lucas number click
632 107668 + 3   7669 Sep 2012 Markus Tervooren - click
633 See complete expression   7668 Mar 2013 David Broadhurst; Bouk de Water - click
634 primV(1624,− 1,2542) / 199516573522119490120154829286218330881   7668 Nov 2018 Serge Batalov Generalized Lucas primitive part
  cofactor		 click
635 11 • (107967 + 1) / (10257 + 1) / (1031 + 1) / 11704415147245823888273929   7655 May 2015 Anonymous Generalized Wagstaff cofactor click
636 (19 • 107654 + 629) / 9   7655 Jul 2024 Alfred Reich - click
637 (510949 − 1) / 4   7653 Jan 2018 Ray Chandler Generalized repunit click
638 12492470 + 24701249   7649 Jul 2017 Rich Dickerson Leyland plus-form click
639 12742463 + 24631274   7649 Jul 2017 Rich Dickerson Leyland plus-form click
640 (107666 + 1) / 27782996954514518581   7647 Apr 2015 Anonymous - click
641 Lucas(36536) / 47   7634 Aug 2013 David Broadhurst; Bouk de Water Lucas cofactor click
642 (2575! + 1) / 1822957061106092148747592420955933   7634 Apr 2021 Anonymous Factorial cofactor click
643 17722349 + 23491772   7631 Jan 2015 Rich Dickerson Leyland plus-form click
644 9742553 + 2553974   7630 Jun 2017 Rich Dickerson Leyland plus-form click
645 See complete expression   7612 Jul 2018 Anonymous - click
646 (136829 + 56829) / 18   7606 Dec 2017 Ray Chandler - click
647 11882473 + 24731188   7605 Jul 2017 Rich Dickerson Leyland plus-form click
648 (19 • 107607 − 37) / 192263988817251   7594 Jun 2024 Alfred Reich - click
649 (97949 + 47949) / 13   7585 Dec 2017 Ray Chandler - click
650 (19 • 107598 − 91) / 56919919871061230913   7580 Dec 2022 Alfred Reich - click
651 (232 • 107573 − 7) / 9   7575 Nov 2021 Anonymous - click
652 2546
( ∑ n! ) / 99  
n=1  		 7566 Mar 2018 Oliver Kruse Sum factorial cofactor click
653 90568041 • 225077 − 4501   7557 Nov 2013 Pierre Cami Part of CPAP-3; d = 4500 click
654 90568041 • 225077 − 9001   7557 Nov 2013 Pierre Cami Part of CPAP-3; d = 4500 click
655 (22662266 + 22652265) / 869635232777587156218059188587157144905207685987   7556 Jul 2013 Rich Dickerson Lifchitz plus-form cofactor click
656 M(25243) / 1970147591084230937377310265007480335495455926417   7551 Dec 2016 Paul Underwood Mersenne cofactor click
657 97900 − 79009   7539 Sep 2023 Tengfei Wang Leyland minus-form click
658 49787793 • 225003 + 23267   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 11634 click
659 49787793 • 225003 + 11633   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 11634 click
660 368523657 • 225000 − 7081   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7080 click
661 368523657 • 225000 − 14161   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7080 click
662 122248047 • 225001 − 7831   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7830 click
663 122248047 • 225001 − 15661   7535 Oct 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 7830 click
664 192335307 • 225000 + 5129   7535 Sep 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 5130 click
665 192335307 • 225000 − 5131   7535 Sep 2013 David Broadhurst; Bouk de Water Part of CPAP-3; d = 5130 click
666 19852284 + 22841985   7533 Jan 2015 Rich Dickerson Leyland plus-form click
667 27373825 • (52322162 + 1) / (523294+1) / (523246 + 1)   7527 Jun 2023 Richard G - click
668 2113238 + 3238211   7527 Feb 2013 Youcef Lemsafer Leyland plus-form click
669 6312 • (63112077 + 1) / (631167 + 1) / (631131 + 1)   7525 Jun 2023 Richard G. - click
670 (107520 − 1) / 9 − 10396   7520 Mar 2023 Tengfei Wang Near repunit click
671 (107520 − 1) / 9 − 10889   7520 Mar 2023 Tengfei Wang Near repunit click
672 107510 − 5 • 103785 − 3   7510 Feb 2022 Ray Chandler - click
673 (88317 + 78317) / 15   7510 Dec 2017 Ray Chandler - click
674 2353167 − 2343167   7510 Sep 2019 Geoffrey Yeung Oakes number click
675 (107505 − 1) / 9 − 101475   7505 Feb 2023 Tengfei Wang Near repunit click
676 (107502 − 1) / 9 − 106000   7502 Feb 2023 Tengfei Wang Near repunit click
677 See complete expression   7499 Jun 2024 Alex Kruppa Mersenne cofactor of M(41481) click
678 Φ(24174,10)   7488 Feb 2012 Ray Chandler - click
679 M(28973) / M(4139) / M(7)   7474 Nov 2019 Anonymous Mersenne cofactor click
680 17383# / 5# + 307200   7473 Oct 2013 Dana Jacobsen Part of proven prime gap; d = 384902 click
681 17383# / 5# - 77702   7473 Oct 2013 Dana Jacobsen Part of proven prime gap; d = 384902 click
682 (19 • 107466 + 161) / 9   7467 Jun 2024 Alfred Reich - click
683 (19 • 107464 − 37) / 9   7465 Jun 2022 Alfred Reich - click
684 2113207 + 210   7454 Nov 2023 Alfred Reich Dual Williams prime click
685 (117151 + 57151) / 16   7446 Dec 2017 Ray Chandler - click
686 M(31105) / M(6221) / 3420629618819649442922856047138672116778344043281   7443 Apr 2022 Will Edgington Mersenne cofactor click
687 (19 • 107428 + 467) / 27   7428 Jun 2024 Alfred Reich - click
688 20002249 − 22492000   7425 Nov 2023 Tengfei Wang Leyland minus-form click
689 19872250 − 22501987   7421 Nov 2023 Tengfei Wang Leyland minus-form click
690 21342229 − 22292134   7421 Nov 2023 Tengfei Wang Leyland minus-form click
691 185909 − 590918   7418 Oct 2023 Tengfei Wang Leyland minus-form click
692 21302227 − 22272130   7413 Oct 2023 Tengfei Wang Leyland minus-form click
693 13632362 + 23621363   7404 Jan 2013 Youcef Lemsafer Leyland plus-form click
694 See complete expression   7400 Jun 2019 Luke W. Richards - click
695 See complete expression   7393 Apr 2015 Anonymous - click
696 (2505! + 1) / 14710497940601040326627992468585620487   7392 Apr 2021 Anonymous Factorial cofactor click
697 (224746 + 212373 + 1) /  
58305854117408409487051503011082595130128879501833462550759991100000001399058265  		 7389 Jun 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(74238)		 click
698 See complete expression   7380 Mar 2015 Anonymous Repunit cofactor of R(7597) click
699 See complete expression   7378 Nov 2019 Anonymous Mersenne cofactor of M(43281) click
700 (434517 + 1) / 44   7377 Nov 2017 Ray Chandler Generalized Wagstaff click
701 (35 • 107362 − 53) / 9   7363 Dec 2020 Anonymous - click
702 20472222 − 22222047   7358 Oct 2023 Tengfei Wang Leyland minus-form click
703 (48002003 − 1) / 21173506801296313319759   7352 Jan 2012 Anonymous Generalized repunit cofactor click
704 R(7871) / R(463) / R(17) / 519894821582622551617789763504983559487853   7351 Sep 2023 Alfred Reich Repunit cofactor click
705 235387 − 225387   7336 Aug 2017 Ray Chandler Oakes number click
706 2143147 + 3147214   7334 Aug 2019 Dylan Delgado Leyland plus-form click
707 See complete expression   7334 Jan 2012 Serge Batalov Repunit cofactor of R(13905) click
708 19 • (107334 − 73) / 40007560889079   7322 Jun 2022 Alfred Reich - click
709 Lucas(35107) / 525110138418084707309   7317 Sep 2013 David Broadhurst; Bouk de Water Lucas cofactor click
710 215533 + 125533 − 4   7316 Mar 2020 Robert Gelhar - click
711 (107338 + 3) / 73477406337935291661877   7316 May 2019 Alfred Reich - click
712 primA(161595)   7313 Sep 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part click
713 (19 • 107323 − 91) / 61740619280758646811783387   7299 Dec 2022 Alfred Reich - click
714 (19 • 107307 − 37) / 1826009674232161930037019   7285 Jun 2024 Alfred Reich - click
715 See complete expression   7283 Nov 2019 Anonymous Wagstaff cofactor click
716 (65 • 107276 + 43) / 9   7277 Dec 2020 Anonymous - click
717 (107286 − 103643 + 1) / 86960501173   7276 Mar 2015 Anonymous - click
718 (107350 + 7) /  
29495606951985839674583903557445155443130918998167802152312517829085201474269  		 7274 Jun 2019 Alfred Reich - click
719 Fib(34897) / 4599458691503517435329   7272 Aug 2013 David Broadhurst; Bouk de Water Fibonacci cofactor click
720 69335 − 5   7265 Mar 2012 Frank Schickel Dual Williams number click
721 Lucas(34759) / 27112021   7257 Jul 2005 Raffi Chaglassian Lucas cofactor click
722 2455
( ∑ n! ) / 99  
n=1  		 7257 Mar 2018 Oliver Kruse Sum factorial cofactor click
723 13542317 + 23171354   7256 Jan 2015 Rich Dickerson Leyland plus-form click
724 (107262 − 103631 + 1) / 3965143   7256 Mar 2015 Anonymous Cyclotomic polynomial cofactor
  of R(21786)		 click
725 Fib(34807) / 551750980997908879677508732866536453   7239 Jul 2013 David Broadhurst; Bouk de Water Fibonacci cofactor click
726 13742305 + 23051374    7234 Jan 2015 Rich Dickerson Leyland plus-form click
727 464349 − 454349   7232 Aug 2017 Ray Chandler Oakes number click
728 (32 • 107230 − 23) / 9   7231 Dec 2020 Anonymous - click
729 primV(52779)   7223 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part click
730 (19& bullet; 107224 − 91) / 1359   7223 Jun 2022 Alfred Reich - click
731 (514229 − 1) / 50   7220 May 2020 Robert Gelhar Generalized repunit click
732 Fib(34607) / 13088506284255296513   7213 Jul 2013 David Broadhurst; Bouk de Water Fibonacci cofactor click
733 (224088 + 1) / 132312993000865342323575550035113436747393   7211 Nov 2019 Anonymous - click
734 (224853 − 1) / (2857 − 1) / 80057653377409   7210 Nov 2019 Anonymous Mersenne cofactor click
735 See complete expression   7200 Jan 2013 Ray Chandler Generalized Wagstaff cofactor click
736 (4392726 + 6) / 419833   7198 Apr 2024 U.N.Owen - click
737 9752408 + 2408975   7198 Jan 2015 Rich Dickerson Leyland plus-form click
738 (1453331 + 23331) / 147   7198 May 2022 Kevin Thompson - click
739 (107204 + 1) / 2132967117073698953   7186 Aug 2013 Alfred Reich - click
740 8912432 + 2432891   7175 Jul 2021 Oliver Kruse Leyland plus-form click
741 primV(37193)   7173 Aug 2013 David Broadhurst; Bouk de Water Lucas primitive part click
742 See complete expression   7172 Dec 2024 Anonymous Generalized Wagstaff cofactor click
743 (883 • 225339 − 1) / 21   7169 Jul 2018 Dennis Sydekum - click
744 See complete expression   7168 Feb 2012 Ray Chandler - click
745 4772674 + 2674477   7163 Jul 2021 Oliver Kruse Leyland plus-form click
746 primB(134415)   7163 May 2013 David Broadhurst; Bouk de Water Lucas Aurifeuillian primitive part click
747 20170108 • 107145 + 39   7153 Oct 2015 Peter Kaiser - click
748 (224457 − 212229 + 1) / (2661 + 2331 + 1) / 13445566669880869   7148 Nov 2019 Anonymous - click
749 (394493 − 1) / 38   7148 Aug 2017 Ray Chandler Generalized repunit click
750 p(41197951)   7142 Sep 2012 Larry Soule; Predrag Minovic Partitions click
751 See complete expression   7138 Jan 2021 Thomas Ritschel - click
752 304831 − 294831   7136 Aug 2017 Ray Chandler Oakes number click
753 6222551 + 2551622   7127 Jul 2021 Oliver Kruse Leyland plus-form click
754 See complete expression   7117 Nov 2019 Anonymous - click
755 See complete expression   7106 Nov 2019 Anonymous - click
756 primV(36647)   7067 May 2013 David Broadhurst; Bouk de Water Lucas primitive part click
757 534096 + 484096   7063 Apr 2012 Youcef Lemsafer - click
758 534096 + 24096   7063 Mar 2012 Youcef Lemsafer - click
759 primV(34532)   7063 May 2013 David Broadhurst; Bouk de Water Lucas primitive part click
760 Fib(33997) / 8119544695419968014626314520991088099382355441843013   7053 Apr 2013 David Broadhurst; Bouk de Water Fibonacci cofactor click
761 See complete expression   7047 Nov 2019 Anonymous Mersenne cofactor of M(31195) click
762 p(40100918)   7047 Jun 2011 Bernardo Boncompagni Partitions click
763 (107067 + 7) / 758125592247064839112927   7044 Jun 2019 Alfred Reich - click
764 See complete expression   7034 Oct 2011 Anonymous Generalized Wagstaff cofactor click
765 (175717 + 55717) / 22   7034 Aug 2017 Anonymous - click
766 (414404 + 40) /  
60350695092366928815780335638587006683989054391150068558453391099107850642063  		 7026 May 2024 Alfred Reich Dual Williams cofactor click
767 (107032 + 7) / 2033417748328019   7017 Jun 2019 Alfred Reich - click
768 (14 • 107016 − 41) / 9   7017 Nov 2020 Anonymous - click
769 See complete expression   7016 Nov 2019 Anonymous - click
770 primU(48965)   7012 Apr 2013 David Broadhurst; Bouk de Water Fibonacci primitive part click
771 See complete expression   7010 Nov 2016 Anonymous - click
772 (8 • 107010 − 71) / 1269   7008 Jan 2017 Jonathan A. Zylstra - click
773 (43601641 + 32822180) / 22180 / 49   7008 May 2019 Geoffrey Yeung - click
774 See complete expression   7006 Oct 2011 Anonymous - click
775 (314705 + 470531) / 136602350912   7006 May 2019 Geoffrey Yeung Leyland plus-form cofactor click
776 See complete expression   7006 Sep 2020 Paul S. Vanderveen - click
777 (40282113 − 42262014) / 22014 / 120419623   7004 May 2019 Geoffrey Yeung - click
778 (107004 − 1) / 9 − 106771   7004 Feb 2023 Tengfei Wang Near repunit click
779 (22 • 107002 − 37) / 3   7003 Apr 2018 Oliver Kruse - click
780 (107001 − 1) / 9 − 103729   7001 Feb 2023 Tengfei Wang Near repunit click
781 p(39576498)   7000 May 2011 Larry Soule; Predrag Minovic Partitions click
782 (45401229 + 24582270) / 22270 / 63714089660341   7000 Mar 2018 Edwin Hall - click
783 (107000 + 683) / 9   7000 Aug 2023 U.N.Owen - click
784 106999 + 151203771   7000 Jun 2021 Robert Gelhar Part of smallest 7000-digit prime twin click
785 106999 + 151203769   7000 Jun 2021 Robert Gelhar Part of smallest 7000-digit prime twin click
786 106999 + 33187   7000 May 2021 Norman Luhn Smallest 7000-digit prime click