Rank Term 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 - 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 number 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 FactorDB for expression   18129 Aug 2017 Ray Chandler - click
56 Lucas(86477) / 1042112515940998434071039   18049 Sep 2020 Serge Batalov Lucas cofactor click
57 See FactorDB for 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 See FactorDB for expression   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 See FactorDB for expression   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 FactorDB for expression   16312 Aug 2020 Anonymous Cyclotomic polynomial cofactor click
81 See FactorDB for 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 FactorDB for 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 FactorDB for 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 FactorDB for 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 FactorDB for 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 FactorDB for 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 FactorDB for 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 FactorDB for 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 See FactorDB for expression   13847 Apr 2018 Anonymous - 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 − 3   13681 Feb 2022 Ray Chandler Part of a twin prime click
144 1013681 − 5 • 102824 − 1   13681 Mar 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 FactorDB for 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 FactorDB for expression   12998 Dec 2018 Serge Baralov - click
158 (1013004 + 1) / 42169438422861046820890701594651723430036015657   12958 Apr 2016 Ray Chandler - click
159 See FactorDB for expression   12953 Apr 2016 Ray Chandler - click
160 See FactorDB for 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 FactorDB for 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 FactorDB for 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 repdigit 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 FactorDB for 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 FactorDB for expression   12266 Jan 2021 Paul S. Vanderveen - click
184 See FactorDB for 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 − 59   12005 Apr 2020 Serge Batalov Part of a CPAP-3 click
193 664342014133 • 239840 − 29   12005 Mar 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 FactorDB for expression   11811 Dec 2021 Youcef Lemsafer - click
199 See FactorDB for 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 − 3   11659 Feb 2022 Ray Chandler Part of a prime twin click
202 1011659 − 5 • 101092 − 1   11659 Feb 2022 Ray Chandler Part of a prime twin; near repdigit 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(67781)   11587 Apr 2015 Serge Batalov Fibonacci primitive part click
206 primU(73025)   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 primV(58672)   11557 Jun 2022 Chuck Lasher Lucas primitive part click
210 primB(219165)   11557 May 2015 Serge Batalov Lucas Aurifeuillian primitive part click
211 primV(58672)   11557 Jun 2022 Chuck Lasher Lucas primitive part click
212 primV(56356)   11557 Jun 2022 Chuck Lasher Lucas primitive part click
213 See FactorDB for expression   11545 Dec 2015 Ray Chandler - click
214 1011504 − 5 • 1010085 − 3   11504 Feb 2022 Ray Chandler - click
215 See FactorDB for expression   11504 Dec 2015 Ray Chandler - click
216 See FactorDB for expression   11499 Dec 2015 Ray Chandler Cyclotomic polynomial cofactor click
217 See FactorDB for expression   11491 Dec 2015 Ray Chandler - click
218 238090 + 47269   11467 Feb 2012 Norman Luhn Dual Sierpinski Problem click
219 See FactorDB for 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 FactorDB for 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 FactorDB for 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 See FactorDB for expression   11000 May 2018 Edwin Hall - click
235 (145 • 236579 + 1) / 80640950291793   11000 May 2021 Anonymous - click
236 See FactorDB for expression   10998 Nov 2015 Ray Chandler - click
237 (31413141 + 31403140) / 508719649   10976 May 2013 Rich Dickerson Lifchitz plus cofactor click
238 See FactorDB for expression   10955 Oct 2015 Anonymous - 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 FactorDB for 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 Anonymous 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 FactorDB for 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 + 5927   10545 Feb 2014 David Broadhurst Part of a CPAP-3; d = 5928 click
276 109061779 • 235003 + 11855   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 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 FactorDB for expression   10398 Nov 2015 Ray Chandler - 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 FactorDB for expression   10376 Nov 2018 Serge Batalov - click
296 417226 − 3   10372 Dec 2023 Matteo D'Aniello Dual Williams prime click
297 See FactorDB for expression   10355 Oct 2023 Alfred Reich - click
298 ( 19 • 1010338 + 719) / 9   10339 Jun 2024 Alfred Reich - click
299 See FactorDB for 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 See FactorDB for expression   10212 Jan 2016 Anonymous - click
307 6sup>13030 + 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 + 5   10132 Feb 2019 Peter Kaiser Part of first known
  gigantic prime quadruplet		 click
313 667674063382677 • 233608 + 7   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 429915684905751 • 233505 + 5   10101 Sep 2018 Peter Kaiser Part of a prime triplet click
319 79417260617886 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet click
320 68048224519176 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet click
321 56107655772636 • 233505 + 5   10100 Aug 2018 Peter Kaiser Part of a prime triplet click
322 50917051471806 • 233505 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
323 633669130955577 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
324 596754028175112 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
325 558173000087697 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
326 551381480912562 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
327 442066703275842 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
328 405970802435022 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
329 356410982223402 • 233500 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
330 13994628271791 • 233505 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
331 90585694774959 • 233503 + 5   10100 Jul 2018 Peter Kaiser Part of a prime triplet click
332 171013289842167 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet click
333 145360980646197 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet click
334 140892134560437 • 233500 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet click
335 28387857090561 • 233501 + 5   10099 Jul 2018 Peter Kaiser Part of a prime triplet click
336 233548 + 4471   10099 Jul 2012 Norman Luhn Dual Sierpinski Problem click
337 81505264551807 • 233444 + 5   10082 Jul 2012 Peter Kaiser Part of a prime triplet click
338 296886 + 688629   10071 Jul 2021 Oliver Kruse Leyland plus-form click
339 See FactorDB for expression   10066 Feb 2013 Rocke Verser Cyclotomic polynomial cofactor click
340 See FactorDB for expression   10060 Oct 2015 Anonymous Cyclotomic polynomial cofactor click
341 1191713 • 233337 − 6269   10042 Nov 2013 Anonymous - click
342 1191713 • 233337 − 12539   10042 Nov 2013 Anonymous - click
343 5073712 + 3712507   10041 Aug 2019 Dylan Delgado Leyland plus-form click
344 18416522281203 • 233222 + 11   10015 Jan 2020 Peter Kaiser Part of a sexy prime triplet click
345 18416522281203 • 233222 + 5   10015 Jan 2020 Peter Kaiser Part of a sexy prime triplet click
346 (7 • 1010014 + 11) / 9 + 2 • 103046   10014 Jan 2015 Serge Batalov Part of a prime twin click
347 (7 • 1010014 - 7) / 9 + 2 • 103046   10014 Jan 2015 Serge Batalov Part of a prime twin; near repdigit click
348 (1010002 − 1) / 9 − 102872   10002 Feb 2023 Tengfei Wang Near repdigit click
349 See FactorDB for expression   10001 Sep 2012 Anonymous - click
350 ((11476 • 1035 + 9731)256 + 1) / 2   10000 Jul 2020 Anonymous GFN-8 cofactor click
351 See FactorDB for expression   10000 Jun 2018 Dennis Sydekum - click
352 (7863457 + 3457786) / 14356930135   10000 May 2018 Edwin Hall Leyland plus-form cofactor click
353 Fib(47848)+87736   10000 Mar 2024 Anonymous - click
354 109999 + 2421018649   10000 Jun 2021 Norman Luhn Part of smallest 10000-digit prime twin click
355 109999 + 2421018651   10000 Jun 2021 Norman Luhn Part of smallest 10000-digit prime twin click
356 956157 • 109994 + 711826   10000 Dec 2014 Anonymous - click
357 905832 • 109994 + 711826   10000 Mar 2018 Ben Chaffin - click
358 840879 • 109994 + 711826   10000 May 2023 Anonymous - click
359 1524583 − 1514583   10000 Sep 2012 Mike Oakes Oakes click
360 109999 + 131673   10000 May 2024 Mohammad Raja - click
361 109999 + 33603   10000 Apr 2013 Alfred Reich Smallest giantic prime
  re-certified via Primo		 click