Rank Expression Digits When Who Comment Certificate
1 R(109297)   109297 May 2025 Andreas Enge; Paul Underwood Repunit click
2 R(86453)   86453 May 2023 Andreas Enge Repunit click
3 5104824 + 1048245   73269 Feb 2023 Greg Childers Leyland plus-form click
4 M(221509) / 292391881   66673 Oct 2023 Andreas Enge; Paul Underwood Mersenne cofactor click
5 3125330 + 1253303   59798 Dec 2022 Greg Childers Leyland plus-form click
6 Τ(1994518)   57125 Sep 2022 Andreas Enge Ramanujan tau function click
7 2176177 + 60947   53035 Oct 2025 Maia Karpovich Dual Sierpinski Problem (new) click
8 M(174533) / 17794804010102394541862377900092223173807310609   52494 Nov 2022 Paul Underwood Mersenne cofactor click
9 (94017581 − 1) / 939   52268 Jan 2025 Ryan S. Propper Generalized repunit click
10 1050000 + 65859   50001 May 2022 Andreas Enge Smallest 50001-digit prime click
11 M(151013) / 61157791169561859593299975690769   45428 Sep 2025 Paul Underwood Mersenne cofactor (new) click
12 2148227 + 60443   44621 Dec 2024 Maia Karpovich Dual Sierpinski Problem click
13 (2141079 + 1) / 3   42469 Oct 2025 Paul Underwood Wagstaff (new) click
14 Lucas(202667)   42355 Nov 2023 Greg Childers Lucas number click
15 See PrimePages for more informations   42229 Oct 2025 Serge Batalov; Ryan Propper Part of BLS-proof of
  Lehmer number (new)
click
16 2139964 + 35461   42134 Oct 2024 Maia Karpovich Dual Sierpinski Problem click
17 Fib(201107)   42029 Sep 2023 Maia Karpovich Fibonacci number click
18 − E(12146) / 1226039954339   41943 Aug 2025 Serge Batalov Euler irregular click
19 (2138937 + 1) / 3   41824 Oct 2023 Andreas Enge; Paul Underwood Wagstaff click
20 M(136883) / 536581361   41198 Aug 2025 Paul Underwood Mersenne cofactor (new) click
21 E(11848) / 7910215   40792 Aug 2022 David Broadhurst; Paul Underwood Euler irregular click
22 Lucas(193201)   40377 Dec 2023 Greg Childers Lucas number click
23 1040000 + 14253   40001 Jun 2022 Andreas Enge Smallest 40001-digit prime click
24 M(130439) / 260879   39261 Feb 2023 Alan Mock Mersenne cofactor click
25 Τ(474176)   38404 Jun 2022 Andreas Enge Ramanujan tau function click
26 Lucas(183089)   38264 Dec 2023 Greg Childers Lucas number click
27 (2127031 + 1) / 3   38240 Jan 2023 Paul Underwood Wagstaff click
28 378296 + 782963   37357 Jul 2022 Greg Childers Leyland plus-form click
29 Φ(13875,124750) / 14963669110546259757220673451001   36661 Sep 2024 Tom Wu Part of BLS primality Proof of
  (12475027751 − 1) / 124749
click
30 6320018 + 2001863   36020 Jan 2023 Greg Childers Leyland plus-form click
31 2119087 − 1190872   35849 Mar 2024 Tengfei Wang Leyland minus-form click
32 (2117239 + 1) / 3   35292 Jul 2022 Ryan S. Propper Wagstaff click
33 p(1000007396)   35219 Aug 2022 Greg Childers Partitions click
34 1864754598 • Bern(12306) / 7988337402668760859   35160 Jul 2025 Serge Batalov Irregular click
35 9 • 1034838 + 7   34839 Aug 2023 Markus Tervooren - click
36 E(10168) / 1097239206089665   34323 Oct 2023 Frank Doornink Euler irregular click
37 Φ(717, − 1072)   34273 Aug 2025 Serge Batalov Unique click
38 Lucas(159521)   33338 Nov 2023 Greg Childers Lucas number click
39 Φ(12345,92365) / 382141463174433542855941   32630 Jun 2024 Tom Wu Part of BLS primality Proof of
  (9236524691 − 1) / 92364
click
40 (1825667 − 1) / 17   32218 Jun 2022 Paul Underwood Generalized repunit click
41 Φ(34051, − 10)   32033 Aug 2025 Serge Batalov Unique click
42 2105789 + 48527   31846 Oct 2023 Maia Karpovich Dual Sierpinski Problem click
43 Φ(23023, − 100)   31681 Aug 2025 Serge Batalov Unique click
44 M(105269) /  
151888973648615898448098254186003467843831193426357780775029327271885867309638591059561  
31603 Sep 2024 Serge Batalov Mersenne cofactor click
45 Φ(4613, − 108)   31585 Aug 2025 Serge Batalov Unique click
46 Φ(10295, − 104)   31360 Aug 2025 Serge Batalov Unique click
47 2104095 + 7013   31336 Oct 2023 Maia Karpovich Dual Sierpinski Problem click
48 2103766 + 17659   31237 Apr 2023 Maia Karpovich Dual Sierpinski Problem click
49 − E(9266) / 2129452307358569777   30900 May 2023 Frank Doornink Euler irregular click
50 Φ(11589, − 104)   30897 Oct 2022 Serge Batalov Unique click
51 Lucas(145703) / 179214691   30442 Nov 2023 Greg Childers Lucas cofactor click
52 Lucas(145193) / 38621339   30336 Nov 2023 Greg Childers Lucas cofactor click
53 (7116384 + 1) / 2   30331 Apr 2023 Alan Mock Generalized half-Fermat click
54 17013451 − 13451170   30002 Mar 2024 Tengfei Wang Leyland minus-form click
55 Φ(36547, − 10)   29832 Jun 2022 Serge Batalov Unique click
56 299069 + 990692   29823 Jun 2022 Greg Childers Leyland plus-form click
57 Φ(18756,58425)   29744 Sep 2025 Tom Wu Part of BLS primality Proof of
  (5842518757 − 1) / 58424
click
58 See PrimePages for more informations   29210 Oct 2025 Serge Batalov; Ryan S. Propper Lehmer primitive part prime (new) click
59 1029028 − 2 • 108312 − 1   29028 Jul 2025 Tengfei Wang Near repdigit click
60 Φ(21960,102936) / 5017642938047862206894175676419044635657201   28830 Jul 2024 Tom Wu Part of BLS primality Proof of
  (10293621961 − 1) / 102935
click
61 1922182 − 2218219   28366 May 2025 Tengfei Wang Leyland minus-form click
62 (1111111102 • 1028243 − 1) / 9   28252 Apr 2024 Tengfei Wang - click
63 Φ(8553,74968) / 12199774257779118942571063   27762 Sep 2025 Tom Wu Part of BLS primality Proof of
  (7496817107 − 1) / 74967
click
64 Fib(132409) / 2882138154561602271737   27651 Aug 2024 Serge Batalov Fibonacci cofactor click
65 70877087 + 1616   27289 Jun 2025 Tengfei Wang Lifchitz plus-form click
66 9 • 1026725 + 7   26726 Aug 2023 Markus Tervooren - click
67 See PrimePages for more informations   26668 Sep 2025 Serge Batalov; Ryan Propper Part of CHG-proof of
  Lehmer number (new)
click
68 Τ(1572206)   26643 Jul 2022 Greg Childers Ramanujan tau function click
69 288071 + 88071   26513 Jun 2025 Tengfei Wang Prime of form 2x + x click
70 M(87691) / 806957040167570408395443233   26371 Nov 2022 Serge Batalov Mersenne cofactor click
71 1026045 − 3   26045 Jan 2024 U.N.Owen Near repdigit click
72 (11 • 1026000 − 17) / 3   26001 Aug 2022 Florian Piesker - click
73 M(86371) / 41681512921035887   25984 Jun 2022 Ryan S. Propper Mersenne cofactor click
74 − E(7894) / 19   25790 May 2023 Frank Doornink Euler irregular click
75 Lucas(122869) / 50429766416459430193411   25656 Apr 2024 Serge Batalov Lucas cofactor click
76 primU(183537)   25571 Oct 2024 Serge Batalov Fibonacci primitive part click
77 2119304 − 1930421   25525 Feb 2024 Tengfei Wang Leyland minus-form click
78 Fib(120937) / 3311205867595743073258613   25250 Apr 2024 Serge Batalov Fibonacci cofactor click
79 20927579 + 75792092   25167 Oct 2023 Anonymous Leyland plus-form click
80 51226753 + 67535122   25050 May 2022 Greg Childers Leyland plus-form click
81 primV(194181)   24908 Oct 2024 Serge Batalov Lucas primitive part click
82 Lucas(119162) / 3   24903 Oct 2024 Serge Batalov Lucas cofactor click
83 − E(7634) / 1559   24828 May 2023 Frank Doornink Euler irregular click
84 primU(118319)   24553 Oct 2024 Serge Batalov Fibonacci primitive part click
85 Fib(117167) / 17658707237   24476 Apr 2024 Serge Batalov Fibonacci cofactor click
86 Lucas(116593) / 120790349    24359 Nov 2023 Greg Childers Lucas cofactor click
87 280307 − 803072   24175 Jan 2024 Tengfei Wang Leyland minus-form click
88 primV(214470)   23895 Oct 2024 Serge Batalov Lucas primitive part click
89 primU(115373)   23875 Oct 2024 Serge Batalov Fibonacci primitive part click
90 primU(135421)   23725 Oct 2024 Serge Batalov Fibonacci primitive part click
91 primV(143234)   23654 Oct 2024 Serge Batalov Lucas primitive part click
92 M(78737) / 1590296767505866614563328548192658003295567890593   23654 May 2022 Ryan S. Propper Mersenne cofactor click
93 primU(164185)   23524 Oct 2024 Serge Batalov Fibonacci primitive part click
94 20097104 − 71042009   23465 Jun 2025 Tengfei Wang Leyland minus-form click
95 See complete expression   23429 Jun 2022 Andreas Enge - click
96 20127043 − 70432012   23268 May 2025 Tengfei Wang Leyland minus-form click
97 primU(166737)   23231 Oct 2024 Serge Batalov Fibonacci primitive part click
98 See PrimePages for more informations   23130 Sep 2025 Serge Batalov; Ryan Propper Part of BLS-proof of
  Lehmer number (new)
click
99 primA(275285)   23012 Mar 2024 Serge Batalov Lucas Aurifeuillian primitive part click
100 primV(110723)   22997 Oct 2024 Serge Batalov Lucas primitive part click
101 (1022973 + 53) / 9   22973 Mar 2024 U.N.Owen Near repunit click
102 (34 • 1022925 − 61) / 9   22926 Jul 2025 Anonymous - click
103 primV(180906)   22905 Sep 2024 Serge Batalov Lucas primitive part click
104 923840 − 238409   22750 Jan 2024 Tengfei Wang Leyland minus-form click
105 (32569 • 2615921 + 21) / 5   22532 Mar 2023 Florian Piesker - click
106 Fib(106663) / 35892566541651557   22275 Apr 2024 Serge Batalov Fibonacci cofactor click
107 348054 • Bern(8286) / 1570865077944473903275073668721   22234 Dec 2022 Serge Batalov Irregular click
108 p(398256632)   22223 Apr 2022 Serge Batalov Partitions click
109 Fib(105509) / 144118801533126010445795676378394340544227572822879081   21997 Jul 2022 Serge Batalov Fibonacci cofactor click
110 9911006 + 1100699   21964 Sep 2024 Oliver Kruse Leyland plus-form click
111 1021873 − 3   21873 Aug 2022 Markus Tervooren Near repdigit click
112 3314398 − 1439833   21864 May 2025 Tengfei Wang Leyland minus-form click
113 primB(282035)   21758 Oct 2023 Serge Batalov Lucas Aurifeuillian primitive part click
114 primA(276335)   21736 Mar 2024 Serge Batalov Lucas Aurifeuillian primitive part click
115 1021717 + 7   21718 Apr 2024 U.N.Owen - click
116 primV(154281)   21495 Nov 2023 Greg Childers Lucas primitive part click
117 (3131 • 271216 − 11) / 15   21441 Jul 2022 Florian Piesker - click
118 primA(296695)   21137 Oct 2023 Serge Batalov Lucas Aurifeuillian primitive part click
119 primA(413205)   21127 Sep 2023 Serge Batalov Lucas Aurifeuillian primitive part click
120 269999 + 35583   21072 Aug 2023 Frank Doornink Smallest 70000-bit prime click
121 p(355646102)   21000 Jul 2022 Serge Batalov Partitions click
122 (1120161 − 1) / 10   20995 Jun 2022 Florian Piesker Generalized repunit click
123 14 • 1916415 + 381   20992 Jun 2022 Florian Piesker - click
124 Lucas(100417) /  
7130429037791016075118087990532064354948544338847967474370719436805470448849  
20911 Apr 2024 Serge Batalov Lucas cofactor click
125 p(350199893)   20838 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
126 1299820 + 9820129   20726 Sep 2024 Oliver Kruse Leyland plus-form click
127 primU(102689)   20715 Sep 2024 Serge Batalov Fibonacci primitive part click
128 primU(105821)   20598 Sep 2022 Serge Batalov Fibonacci primitive part click
129 ((((((25210088873 + 80)3 + 12)3 + 450)3 + 894)3 + 3636)3 + 70756)3 + 97220   20562 Jun 2022 Greg Childers Mills' prime
  re-certified via CM
click
130 (343063 − 1) / 2   20546 Nov 2023 Anonymous Generalized repunit click
131 primU(172179)   20540 Sep 2022 Serge Batalov Fibonacci primitive part click
132 Lucas(98081) / 84490439013599359615894385176643888515853963025217237339   20442 Apr 2024 Serge Batalov Lucas cofactor click
133 See PrimePages for more informations   20401 Oct 2025 Serge Batalov; Ryan Propper Part of CHG-proof of
  Lehmer number (new)
click
134 Τ(412296)   20367 Jun 2022 Greg Childers Ramanujan tau function click
135 19986137 − 61371998   20256 Feb 2024 Tengfei Wang Leyland minus-form click
136 (3567937 + 1) / 357   20249 Jul 2022 Florian Piesker Generalized Wagstaff click
137 4404139952163 • 267002 − 5   20183 Jul 2024 Serge Batalov Part of a prime triplet click
138 primV(112028)   20063 May 2022 Serge Batalov Lucas primitive part click
139 53705370 + 44114411   20030 May 2024 Oliver Kruse Lifchitz plus-form click
140 26685841 + 58412668   20013 Dec 2022 Greg Childers Leyland plus-form click
141 (1020004 − 1) / 9 − 10228   20004 May 2025 Tengfei Wang Near repunit click
142 1020000 + 56149   20001 Nov 2024 U.N.Owen Smallest 20001-digit prime click
143 p(322610098)   20000 Jun 2022 Serge Batalov Partitions click
144 266436 + 18181   20000 Jul 2022 Florian Piesker - click
145 1019999 + 1514722611   20000 Jun 2022 Paul Underwood Part of the smallest 20000-digit twin prime click
146 1019999 + 1514722609   20000 Jun 2022 Paul Underwood Part of the smallest 20000-digit twin prime click
147 1019999 + 110949   20000 Jun 2022 Paul Underwood Smallest 20000-digit prime click
148 primV(151521)   19863 Jun 2022 Serge Batalov Lucas primitive part click
149 264773 − 647732   19499 Jan 2024 Tengfei Wang Leyland minus-form click
150 39585411 + 54113958   19466 May 2022 Greg Childers Leyland plus-form click
151 M(66497) / M (2293) / 7140061530624311   19312 Sep 2025 Alex Kruppa Mersenne cofactor (new) click
152 M(64381) / 18252318785612645711774019109285438988204922542528174996118699181907547497   19308 Apr 2024 Serge Batalov Mersenne cofactor click
153 Lucas(91943) / 12774901180031755171852992299   19187 Jul 2022 Serge Batalov Lucas cofactor click
154 (V(428,1,8019) − 1) / (V(428,1,729) − 1)   19184 Jun 2022 Serge Batalov Lehmer primitive part click
155 Lucas(91873) / 119273493071598409455551351   19175 Jul 2022 Serge Batalov Lucas cofactor click
156 (2 • 1019153 + 691) / 9   19153 Jun 2022 Greg Childers - click
157 primU(137439)   19148 Jun 2022 Serge Batalov Fibonacci primitive part click
158 ⌊(π • 1019176)⌋ % (1019128)   19128 Feb 2023 Oliver Kruse String in Pi click
159 primU(107779)   18980 May 2022 Serge Batalov Fibonacci primitive part click
160 ( U(162,1,8581) + U(162,1,8580) ) / ( U(162,1,66) + U(162,1,65) )   18814 Jun 2022 Serge Batalov Lehmer primitive part click
161 See complete expression   18718 Jun 2022 Andreas Enge - click
162 (82 • 1018592 − 1) / 9   18593 Aug 2023 Markus Tervooren Near repunit click
163 ( U(859,1,6385) − U(859,1,6384) ) / ( U(859,1,57) − U(859,1,56) )   18567 Jun 2022 Serge Batalov Lehmer primitive part click
164 (505 • 1018470 − 1) / 9   18472 Jun 2022 Florian Piesker - click
165 primB(220895)   18465 Jun 2022 Serge Batalov Lucas Aurifeuillian primitive part click
166 1748192 + 1218192   18355 Jan 2023 Youcef Lemsafer - click
167 primV(153279)   18283 May 2022 Serge Batalov Lucas primitive part click
168 See complete expression   18192 Aug 2025 Alex Kruppa Mersenne cofactor of M(123435) click
169 See complete expression   18190 Jul 2025 Alex Kruppa Cyclotomic polynomial cofactor
  of M(242730)
click
170 (721520 + 41) / 6   18186 Dec 2022 Florian Piesker Near repdigit in base 7 click
171 (10504 • 1018178 − 1) / 9   18182 Apr 2023 Florian Piesker - click
172 259999 + 26453   18062 Oct 2023 Frank Doornink Smallest 60000-bit prime click
173 259395 − 593952   17880 May 2025 Tengfei Wang Leyland minus-form click
174 primB(235015)   17856 May 2022 Serge Batalov Lucas Aurifeuillian primitive part click
175 (1737 • 525415 − 1) / 4   17767 Oct 2022 Anonymous - click
176 1017753 + 3   17754 Mar 2024 U.N.Owen - click
177 (3407001 + 1) / 341   17721 Jul 2022 Florian Piesker Generalized Wagstaff click
178 primV(148197)   17696 May 2022 Serge Batalov Lucas primitive part click
179 ((236656 + 1)2 + 3) / ((27332 + 1)2 + 3) / 151   17653 Mar 2025 Alex Kruppa - click
180 918494 − 184949   17648 Jan 2024 Tengfei Wang Leyland minus-form click
181 (336913 − 1) / 2   17612 Dec 2022 Florian Piesker Generalized repunit click
182 ( V(447,1,6723) + 1 ) / ( V(447,1,81) + 1 )   17604 Jun 2022 Serge Batalov Lehmer primitive part click
183 (79 • 739339 − 1) / 6   17403 Jul 2022 Florian Piesker - click
184 1017343 + 777   17344 Dec 2023 U.N.Owen - click
185 primV(169830)   17335 May 2022 Serge Batalov Lucas primitive part click
186 257285 + 572852   17245 Jun 2022 Greg Childers Leyland plus-form click
187 720366 − 203667   17212 Jan 2024 Tengfei Wang Leyland minus-form click
188 (257146 + 228573 + 1) / 1057378152607   17191 Oct 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(171438)
click
189 (3816659 + 1) / 382   17184 Jul 2022 Florian Piesker Generalized Wagstaff click
190 ( V(1578,1,5589) + 1 ) / ( V(1578,1,243) + 1 )   17098 Jun 2022 Serge Batalov Lehmer primitive part click
191 M(19) • M(60287) / M(3173) / M(361)   17091 Sep 2024 Alex Kruppa Mersenne cofactor of M(60287) click
192 (176874003 − 1) / 17686   17000 Mar 2024 Edwin Hall Generalized repunit click
193 primV(101510)   16970 May 2022 Serge Batalov Lucas primitive part click
194 (1016922 − 91) / 9   16922 May 2025 Tengfei Wang Near repunit click
195 (17 • 1016918 + 7) / 3   16919 Aug 2023 Markus Tervooren - click
196 (3186733 + 1) / 319   16847 Jul 2022 Florian Piesker Generalized Wagstaff click
197 See complete expression   16734 Jun 2022 Andreas Enge - click
198 See complete expression   16716 Sep 2024 Alex Kruppa Mersenne cofactor of M(69625) click
199 (17 • 1016628 + 7) / 3   16629 Aug 2023 Markus Tervooren - click
200 (V(1240,1,5589) − 1) / (V(1240,1,243) − 1)   16538 Jun 2022 Serge Batalov Lehmer primitive part click
201 primA(201485)   16535 May 2022 Serge Batalov Lucas Aurifeuillian primitive part click
202 ( U(800,1,5725) − U(800,1,5724) ) / ( U(800,1,54) − U(800,1,53) )   16464 Jun 2022 Serge Batalov Lehmer primitive part click
203 708853 − 885370   16335 Jun 2025 Tengfei Wang Leyland minus-form click
204 17484430616589 • 254201 + 5   16330 Jun 2024 Serge Batalov Part of a CPAP-3; d = 6 click
205 17484430616589 • 254201 − 7   16330 Jun 2024 Serge Batalov Part of a CPAP-3; d = 6 click
206 (1427537 + 1) / 143   16220 Jul 2022 Florian Piesker Generalized Wagstaff click
207 primB(225785)   16176 May 2022 Serge Batalov Lucas Aurifeuillian primitive part click
208 (1214951 − 1) / 11   16134 Aug 2022 Florian Piesker Generalized repunit click
209 (11023 • 1016097 − 1) / 3   16101 May 2023 Florian Piesker - click
210 1016076 + 67   16077 Nov 2023 U.N.Owen - click
211 (25453 • 1015998 − 1) / 9   16002 Apr 2023 Florian Piesker - click
212 (4695987 − 1) / 468   15990 Jul 2022 Florian Piesker Generalized repunit click
213 19194818 − 48181919   15818 May 2025 Tengfei Wang Leyland minus-form click
214 (19 • 620238 + 2501) / 35   15748 Apr 2023 Florian Piesker - click
215 36574400 + 44003657   15678 Oct 2023 Anonymous Leyland plus-form click
216 See complete expression   15587 Aug 2025 Alex Kruppa - click
217 See complete expression   15587 Aug 2024 Alex Kruppa Mersenne cofactor of M(64165) click
218 (619889 − 1) / 5   15476 Aug 2022 Florian Piesker Generalized repunit click
219 See complete expression   15450 Apr 2023 Youcef Lemsafer Generalized repunit cofactor click
220 (17 • 1015448 + 7) / 3   15449 Aug 2023 Markus Tervooren - click
221 (718251 + 1) / 8   15423 Aug 2022 Anonymous Generalized Wagstaff click
222 22484537 + 45372248   15208 Aug 2022 Greg Childers Leyland plus-form click
223 1015103 − 63987   15103 Nov 2023 U.N.Owen - click
224 26384405 + 44052638   15071 May 2022 Greg Childers Leyland plus-form click
225 249999 + 24783   15052 Jul 2023 Maia Karpovich Smallest 50000-bit prime click
226 14534752 − 47521453   15028 Feb 2024 Florian Piesker Leyland minus-form click
227 39114180 + 41803911   15016 Dec 2022 Greg Childers Leyland plus-form click
228 (31794291 − 42913179) / 8886701589272771624   15010 Apr 2024 Markus Tervooren Leyland minus-form cofactor click
229 (14774734 + 47341477) / 53   15003 Apr 2023 Youcef Lemsafer Leyland plus-form cofactor click
230 (210983952048 + 1) / 2   15000 Mar 2024 Edwin Hall Generalized half-Fermat click
231 (41474147 + 2022) / 5435   15000 Mar 2024 Edwin Hall - click
232 ( V(1212,1,4887) + 1) / ( V(1212,1,27) + 1 )   14986 Jun 2022 Serge Batalov Lehmer primitive part click
233 (1506883 + 1) / 151   14976 Jun 2022 Florian Piesker Generalized Wagstaff click
234 1077372 + 7372107   14961 Oct 2023 Ryan S. Propper Leyland plus-form click
235 17164613 + 46131716   14921 Nov 2023 Ryan S. Propper Leyland plus-form click
236 3455876 + 5876345   14913 Nov 2023 Ryan S. Propper Leyland plus-form click
237 11594866 + 48661159   14910 Nov 2023 Anonymous Leyland plus-form click
238 5128801 + 8015128   14890 Oct 2025 Ryan S. Propper Leyland plus-form (new) click
239 ((231 − 1)1597 − 1) / (231 − 2) / 634021777   14885 Jun 2022 Greg Childers - click
240 3765755 + 5755376   14821 Nov 2023 Anonymous Leyland plus-form click
241 17154558 + 45581715   14742 Nov 2023 Anonymous Leyland plus-form click
242 ( V(696,1,5211) + 1 ) / ( V(696,1,27) + 1 )   14737 Jun 2022 Serge Batalov Lehmer primitive part click
243 19454476 + 44761945   14722 Nov 2023 Anonymous Leyland plus-form click
244 3815698 + 5698381   14707 Nov 2023 Anonymous Leyland plus-form click
245 See complete expression   14703 Jun 2022 Greg Childers - click
246 10874840 + 48401087   14696 Nov 2023 Anonymous Leyland plus-form click
247 33484163 + 41633348   14674 Jan 2024 Ryan S. Propper Leyland plus-form click
248 16374554 + 45541637   14637 Jan 2024 Ryan S. Propper Leyland plus-form click
249 See complete expression   14500 Sep 2024 Alfred Reich Generalized repunit
  cofactor of R(17003)
click
250 27724211 + 42112772   14498 Jan 2024 Ryan S. Propper Leyland plus-form click
251 40224022 + 20252025   14498 Jun 2025 Tengfei Wang Lifchitz plus-form click
252 (117514072048 + 1) / 2   14480 Nov 2024 Alfred Reich Generalized half-Fermat click
253 25804241 + 42412580   14469 Jan 2024 Ryan S. Propper Leyland plus-form click
254 424019 − 324019   14461 Oct 2025 Ryan S. Propper Oakes number (new) click
255 8164949 + 4949816   14410 Jan 2024 Ryan S. Propper Leyland plus-form click
256 p(158221457)   14404 Jul 2022 Serge Batalov Partitions click
257 19914342 + 43421991   14325 Oct 2023 Ryan S. Propper Leyland plus-form click
258 19164359 + 43591916   14308 Oct 2023 Ryan S. Propper Leyland plus-form click
259 917300 + 730091   14302 Oct 2023 Anonymous Leyland plus-form click
260 See complete expression   14297 Aug 2024 Alex Kruppa Mersenne cofactor of M(52193) click
261 1113674 − 1367411   14241 Jan 2024 Tengfei Wang Leyland plus-form click
262 See complete expression   14035 Aug 2024 Alex Kruppa Mersenne cofactor of M(93195) click
263 38 • (1014032 + 61) / 210606316076673   14020 Apr 2023 Youcef Lemsafer - click
264 p(158375386)   14011 Jul 2022 Serge Batalov Partitions click
265 p(158295265)   14007 Jul 2022 Serge Batalov Partitions click
266 21544153 + 41532154   13843 May 2022 Paul Leyland Leyland plus-form click
267 1013808 + 32791   13809 Aug 2024 Alfred Reich - click
268 See complete expression   13786 Aug 2024 Alex Kruppa Mersenne cofactor of M(58315) click
269 11 • (245616 + 1) / 3   13733 Jun 2022 Florian Piesker - click
270 (5045059 + 1) / 505   13669 Jun 2022 Florian Piesker Generalized Wagstaff click
271 13354364 + 43641335   13640 Jan 2023 Greg Childers Leyland plus-form click
272 26073976 + 39762607   13583 Jan 2023 Greg Childers Leyland plus-form click
273 4995026 + 5026499   13561 Jan 2023 Greg Childers Leyland plus-form click
274 916918 + 691891   13553 Jan 2023 Greg Childers Leyland plus-form click
275 17274162 + 41621727   13474 Jan 2023 Greg Childers Leyland plus-form click
276 23613992 + 39922361   13466 Jan 2023 Greg Childers Leyland plus-form click
277 29853874 + 38742985   13462 Jan 2023 Greg Childers Leyland plus-form click
278 1036682 + 6682103   13450 Jan 2023 Greg Childers Leyland plus-form click
279 10934414 + 44141093   13413 Jan 2023 Greg Childers Leyland plus-form click
280 (4215101 + 1) / 422   13384 Jun 2022 Florian Piesker Generalized Wagstaff click
281 2295670 + 5670229   13381 Jan 2023 Greg Childers Leyland plus-form click
282 2245685 + 5685224   13362 Jan 2023 Greg Childers Leyland plus-form click
283 Lucas(64063) / 464426465381142115542697818362662865912299   13347 Aug 2024 Serge Batalov Lucas cofactor click
284 See complete expression   13343 Aug 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(180090)
click
285 p(141528106)   13244 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
286 p(141513546)   13244 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
287 p(141512238)   13244 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
288 1935792 − 5792193   13238 Feb 2023 Youcef Lemsafer Leyland minus-form click
289 p(141255053)   13232 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
290 M(44431) / M(283) / M(157) / 430619564833   13231 Aug 2024 Alex Kruppa Mersenne cofactor click
291 6694682 + 4682669   13229 Jan 2023 Greg Childers Leyland plus-form click
292 p(141150528)   13227 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
293 p(141112026)   13225 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
294 p(141111278)   13225 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
295 See complete expression   13217 Aug 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(133962)
click
296 p(140859260)   13213 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
297 p(140807155)   13211 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
298 p(140791396)   13210 Jul 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
299 p(140760498)   13208 Jun 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
300 p(140710320)   13206 Jun 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
301 See complete expression   13202 Sep 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(134034)
click
302 p(140593907)   13201 Jun 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
303 p(140560280)   13199 Jun 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
304 p(140552343)   13199 Jun 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
305 p(140535370)   13198 Jun 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
306 p(140533925)   13198 Jun 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
307 p(140519816)   13197 Jun 2022 Charles H (Chuck) Lasher;
  David Broadhurst; Paul Underwood
Partitions click
308 25723867 + 38672572   13188 Jan 2023 Greg Childers Leyland plus-form click
309 19244015 + 40151924   13187 Jan 2023 Greg Childers Leyland plus-form click
310 See complete expression   13186 Nov 2024 Alfred Reich - click
311 1013172 + 22947   13173 Aug 2024 Alfred Reich - click
312 1013170 + 2697   13171 Aug 2024 Alfred Reich - click
313 1013162 + 87729   13163 Aug 2024 Alfred Reich - click
314 1013161 + 51729   13162 Aug 2024 Alfred Reich - click
315 1013160 + 11161   13161 Aug 2024 Alfred Reich - click
316 1013159 + 1807   13160 Aug 2024 Alfred Reich - click
317 29323789 + 37892932   13138 Jan 2023 Greg Childers Leyland plus-form click
318 34293712 + 37123429   13123 Dec 2022 Anonymous Leyland plus-form click
319 4614926 + 4926461   13122 Dec 2022 Anonymous Leyland plus-form click
320 25803841 + 38412580   13105 Dec 2022 Florian Piesker Leyland plus-form click
321 (243502 + 221751 + 1) / 71426334276062353   13079 Aug 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(130506)
click
322 See complete expression   13007 Oct 2024 Alfred Reich Leyland minus-form cofactor click
323 1013002 − 8 • 108 − 1   13002 Dec 2023 U.N.Owen Near repdigit click
324 24453836 + 38362445   12998 Dec 2022 Greg Childers Leyland plus-form click
325 21093908 + 39082109   12991 Dec 2022 Greg Childers Leyland plus-form click
326 17783993 + 39931778   12977 Aug 2022 Greg Childers Leyland plus-form click
327 See complete expression   12947 Aug 2024 Alex Kruppa Mersenne cofactor of M(67235) click
328 21073894 + 38942107   12943 Aug 2022 Greg Childers Leyland plus-form click
329 (50233491 − 1) / 35068626   12913 Mar 2023 Youcef Lemsafer Generalized repunit cofactor click
330 14674076 + 40761467   12907 Jul 2022 Greg Childers Leyland plus-form click
331 See complete expression   12901 Jan 2023 Youcef Lemsafer - click
332 10274278 + 42781027   12884 Jul 2022 Greg Childers Leyland plus-form click
333 1595852 + 5852159   12883 Jul 2022 Greg Childers Leyland plus-form click
334 (242737 + 1) / 3   12865 May 2022 Greg Childers Wagstaff click
335 See complete expression   12814 Aug 2024 Alex Kruppa Mersenne cofactor of M(48127) click
336 20953858 + 38582095   12814 Jul 2022 Greg Childers Leyland plus-form click
337 (367 • 715118 − 1) / 6   12778 Jun 2022 Florian Piesker Near redigit in base 7 click
338 (326633 + 1) / 4   12707 Aug 2022 Florian Piesker Generalized Wagstaff click
339 242210 + 91549   12707 Mar 2023 Anonymous - click
340 (77 • 1012720 − 41) / 80794157024576083501251   12699 Mar 2023 Youcef Lemsafer - click
341 (3499 • 1012689 − 1) / 3   12693 Apr 2023 Florian Piesker - click
342 16893926 + 39261689   12672 Jul 2022 Greg Childers Leyland plus-form click
343 24823729 + 37292482   12660 Jul 2022 Greg Childers Leyland plus-form click
344 (4994691 − 1) / 498   12655 Jun 2022 Florian Piesker Generalized repunit click
345 2575248 + 5248257   12648 Jul 2022 Greg Childers Leyland plus-form click
346 M(53977) / M(701) / M(7711) / M(4907) / M(77) • 259969    12644 Jul 2024 Alex Kruppa Mersenne cofactor of M(53977) click
347 13784023 + 40231378   12630 Jul 2022 Greg Childers Leyland plus-form click
348 (26383687 + 36872638) / 530650435937411   12600 Mar 2023 Youcef Lemsafer Leyland plus-form cofactor click
349 (2055449 + 1) / 206   12595 Jun 2022 Florian Piesker Generalized Wagstaff click
350 (2305333 − 1) / 229   12593 Jun 2022 Florian Piesker Generalized repunit click
351 R(12611) / 151596145122775505868566782271   12581 Sep 2024 Alfred Reich Repunit cofactor click
352 See complete expression   12558 Jan 2023 Youcef Lemsafer - click
353 (239509 − 1) / (23257 − 1) / 11002902177363902238826201639790642566112031151441   12550 Mar 2023 Youcef Lemsafer Generalized repunit cofactor click
354 (241614 + 220807 + 1) / 231896371365555042937   12507 Jul 2024 Alex Kruppa - click
355 (8 • 1012527 − 11) / 66426466217992706366987547351   12500 Feb 2023 Youcef Lemsafer - click
356 26133650 + 36502613   12473 Jul 2022 Greg Childers Leyland plus-form click
357 35123512 + 33   12452 May 2025 Tengfei Wang Lifchitz plus-form click
358 10504096 + 10134096   12375 Jan 2023 Youcef Lemsafer - click
359 30523543 + 35433052   12346 May 2022 Greg Childers Leyland plus-form click
360 23893646 + 36462389   12317 May 2022 Greg Childers Leyland plus-form click
361 25773602 + 36022577   12287 May 2022 Greg Childers Leyland plus-form click
362 31723507 + 35073172   12280 May 2022 Greg Childers Leyland plus-form click
363 13253924 + 39241325   12252 May 2022 Greg Childers Leyland plus-form click
364 (1211353 +1) / 13   12251 Aug 2022 Florian Piesker Generalized Wagstaff click
365 (23671 • 1012192 − 1) / 9   12196 Apr 2022 Florian Piesker - click
366 M(55495) / M(11099) / M(5045) • M(1009) / 567767102431   12138 Jul 2024 Alex Kruppa Mersenne cofactor of M(55495) click
367 5354444 + 4444535   12125 May 2022 Greg Childers Leyland plus-form click
368 239999 + 18065   12041 Jul 2023 Oliver Kruse Smallest 40000-bit prime click
369 239999 + 1411862541   12041 Oct 2023 Frank Doornink Part of smallest 40000-bit prime twin click
370 239999 + 1411862543   12041 Oct 2023 Frank Doornink Part of smallest 40000-bit prime twin click
371 (714221 − 1) / 6   12018 Aug 2022 Florian Piesker Generalized repunit click
372 1012000 − 11319   12000 Dec 2023 U.N.Owen - click
373 397542 − 98   12000 Mar 2024 Edwin Hall - click
374 (2235110 − 405) / 4   12000 Mar 2024 Edwin Hall - click
375 417440 + 952   12000 Mar 2024 Edwin Hall - click
376 1011999 + 76621   12000 Oct 2023 U.N.Owen - click
377 1011999 + 72577   12000 Jan 2023 Frank Doornink - click
378 1011999 + 12757   12000 Jan 2024 U.N.Owen - click
379 M(42991) / M(3307) / M(13)   11943 Jul 2024 Alex Kruppa Mersenne cofactor of M(42991) click
380 30703423 + 34233070   11937 May 2022 Greg Childers Leyland plus-form click
381 976006 − 600697   11933 Apr 2025 Tengfei Wang Leyland minus-form click
382 (886 • 199291 − 1) / 3   11884 Jun 2022 Florian Piesker - click
383 1310633 − 50   11845 Jun 2022 Florian Piesker - click
384 298096 + 10   11840 Jul 2022 Florian Piesker - click
385 (313 • 324761 − 1) / 2   11817 Jul 2022 Florian Piesker - click
386 (4589 • 516892 − 1) / 4   11811 Dec 2022 Anonymous - click
387 3 • 1011799 − 37   11800 Mar 2023 Youcef Lemsafer - click
388 (22683515 + 35152268) / 787343    11790 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
389 M(58389) / M(19463) / 501545671318332018168553   11695 Jul 2024 Alex Kruppa Mersenne cofactor of M(58389) click
390 14073712 + 37121407   11687 May 2022 Greg Childers Leyland plus-form click
391 25603423 + 34232560   11667 Jun 2022 Greg Childers Leyland plus-form click
392 22483469 + 34692248   11628 Jun 2022 Greg Childers Leyland plus-form click
393 (29153354 + 33542915) / 16793707319901665479   11602 Apr 2023 Youcef Lemsafer Leyland plus-form cofactor click
394 26693378 + 33782669   11575 Jun 2022 Greg Childers Leyland plus-form click
395 (516519 − 1) / 4   11546 Aug 2022 Florian Piesker Generalized repunit click
396 See complete expression   11522 Jul 2024 Alex Kruppa Mersenne cofactor of M(62439) click
397 21973442 + 34422197   11503 Jun 2022 Greg Childers Leyland plus-form click
398 1975000 − 5000197   11473 Sep 2024 Oliver Kruse Leyland minus-form click
399 (22213422 − 34222221) / 11   11451 Dec 2023 U.N.Owen Leyland minus-form cofactor click
400 See complete expression   11377 Sep 2025 Serge Batalov - click
401 (201 • 1415279 − 1) / 20   11347 Jun 2022 Florian Piesker - click
402 (4327 • 1011330 − 7) / 9   11333 Jun 2022 Florian Piesker - click
403 (1110867 − 1) / 10   11316 Aug 2022 Florian Piesker Generalized repunit click
404 15163557 + 35571516   11314 Jun 2022 Greg Childers Leyland plus-form click
405 1137 • 367259 + 19   11301 Apr 2023 Florian Piesker - click
406 4964189 + 4189496   11292 Jun 2022 Greg Childers Leyland plus-form click
407 9223805 + 3805922   11281 Jun 2022 Greg Childers Leyland plus-form click
408 4724217 + 4217472   11277 Jun 2022 Greg Childers Leyland plus-form click
409 13249 • 248131 − 49   11227 Jun 2022 Florian Piesker - click
410 7653892 + 3892765   11224 Jun 2022 Paul Leyland Leyland plus-form click
411 19663395/ + 33951966   11182 Jun 2022 Greg Childers Leyland plus-form click
412 See complete expression   11155 Jul 2024 Alex Kruppa - click
413 (19 • 1011149 + 611) / 9   11150 Jul 2024 Alfred Reich - click
414 M(47435) • M(179) • M(53) • M(5) / M(9487) / M895) / M(265)   11146 Jul 2024 Alex Kruppa Mersenne cofactor of M(47435) click
415 31823182 + 33   11146 May 2025 Tengfei Wang Lifchitz plus-form click
416 29423213 + 32132942   11145 Jun 2022 Greg Childers Leyland plus-form click
417 (3134451 + 1) / 314   11106 Jun 2022 Florian Piesker Generalized Wagstaff click
418 179021 + 25   11100 Jun 2022 Florian Piesker - click
419 See complete expression   11064 Aug 2025 Serge Batalov - click
420 (5034093 − 1) / 502   11055 May 29 Tom Wu Generalized repunit click
421 (17 • 1011046 + 7) / 3   11047 Aug 2023 Markus Tervooren - click
422 24823243 + 32432482   11010 May 2022 Greg Childers Leyland plus-form click
423 1011000 + 11973   11001 Jul 2024 Alfred Reich - click
424 1010999 + 24439   11000 Nov 2023 U.N.Owen - click
425 (133 • 1005496 − 1) / 33   10993 Jun 2022 Florian Piesker - click
426 12623543 + 35431262   10988 May 2022 Oliver Kruse Leyland plus-form click
427 27813188 + 31882781   10981 May 2022 Oliver Kruse Leyland plus-form click
428 30893142 + 31423089   10966 May 2022 Oliver Kruse Leyland plus-form click
429 13303509 + 35091330   10962 May 2022 Oliver Kruse Leyland plus-form click
430 995488 + 548899   10953 May 2022 Oliver Kruse Leyland plus-form click
431 17663369 + 33691766   10940 May 2022 Oliver Kruse Leyland plus-form click
432 (4794079 + 1) / 480   10931 Jun 2022 Florian Piesker Generalized Wagstaff click
433 5393996 + 3996539   10916 May 2022 Oliver Kruse Leyland plus-form click
434 (64 • 1010906 + 53) / 9   10907 May 2022 Greg Childers Palindrome click
435 30703121 + 31213070   10884 May 2022 Oliver Kruse Leyland plus-form click
436 12713502 + 35021271   10871 May 2022 Oliver Kruse Leyland plus-form click
437 (237651 + 1) / (21637 + 1) / 2796203   10835 Jul 2024 Alex Kruppa Wagstaff cofactor click
438 347035 + 703534   10774 May 2022 Greg Childers Leyland plus-form click
439 5793896 + 3896579   10764 May 2022 Oliver Kruse Leyland plus-form click
440 21183217 + 32172118   10700 May 2022 Oliver Kruse Leyland plus-form click
441 2984309 + 4309298   10662 May 2022 Oliver Kruse Leyland plus-form click
442 11733470 + 34701173   10651 May 2022 Oliver Kruse Leyland plus-form click
443 17553268 + 32681755   10603 May 2022 Oliver Kruse Leyland plus-form click
444 (19 • 1010613 − 73) / 20376889065137331   10598 Jul 2024 Alfred Reich - click
445 1010584 + 26191   10585 Aug 2024 Alfred Reich - click
446 (19 • 1010554 + 341) / 9   10555 Jul 2024 Alfred Reich - click
447 146462479 • 235001 + 8765   10545 Oct 2025 Paul Underwood Part of a CPAP-3; d = 8766 (new) click
448 21193160 + 31602119   10511 May 2022 Oliver Kruse Leyland plus-form click
449 (129739 − 1) / 11   10510 Jul 2022 Florian Piesker Generalized repunit click
450 24473100 + 31002447   10505 May 2022 Oliver Kruse Leyland plus-form click
451 1010470 + 3   10471 Aug 2022 Florian Piesker - click
452 12093392 + 33921209   10456 May 2022 Greg Childers Leyland plus-form click
453 26613052 − 30522661   10454 Jun 2025 Tengfei Wang Leyland minus-form click
454 29183013 − 30132918   10441 Jun 2025 Tengfei Wang Leyland minus-form click
455 16783225 + 32251678   10400 May 2022 Greg Childers Leyland plus-form click
456 17723201 + 32011772   10399 May 2022 Greg Childers Leyland plus-form click
457 (82 • 1010394 + 71) / 9   10395 Nov 2023 Richard G. Palindrome click
458 19663155 + 31551966   10392 May 2022 Anonymous Leyland plus-form click
459 (2 • 1010391 + 61) / 9   10391 Jan 2023 Anonymous Near repdigit click
460 (419 • 712274 − 5) / 6   10375 Sep 2022 Florian Piesker - click
461 1010371 + 24679   10372 Aug 2024 Alfred Reich - click
462 1010370 + 7891   10371 Aug 2024 Alfred Reich - click
463 1010369 + 20863   10370 Aug 2024 Alfred Reich - click
464 27693008 − 30082769   10355 Jun 2025 Tengfei Wang Leyland minus-form click
465 17483193 − 31931748   10354 Feb 2024 Tengfei Wang Leyland minus-form click
466 See complete expression   10350 Jul 2024 Alex Kruppa Mersenne cofactor of M(47575) click
467 24483053 − 30532448   10347 Jun 2025 Tengfei Wang Leyland minus-form click
468 6 • Bern(4306) / 2153   10342 Jun 2022 Greg Childers Irregular click
469 29172982 − 29822917   10333 Jun 2025 Tengfei Wang Leyland minus-form click
470 8513522 + 3522851   10320 May 2022 Paul Leyland Leyland plus-form click
471 2124431 − 4431212   10308 Jun 2023 Florian Piesker Leyland minus-form click
472 See complete expression   10305 May 2024 Richard G. - click
473 See complete expression   10300 Sep 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(119994)
click
474 19513128 − 31281951   10292 Jun 2023 Florian Piesker Leyland minus-form click
475 (4341 • 514720 − 1) / 4   10292 Oct 2022 Anonymous - click
476 (158741 − 1) / 14   10280 Jul 2022 Florian Piesker Generalized repunit click
477 613206 + 217   10277 Feb 2024 Florian Piesker - click
478 59056921173 • 234030 + 7   10255 Jun 2022 Greg Childers Part of sexy prime pair click
479 6973594 + 3594697   10219 May 2022 Greg Childers Leyland plus-form click
480 10613372 − 33721061   10203 Jun 2023 Florian Piesker Leyland minus-form click
481 (191 • 1055045 + 1) / 8   10199 Jun 2022 Florian Piesker - click
482 8123505 − 3505812   10198 Jun 2023 Florian Piesker Leyland minus-form click
483 See complete expression   10195 Jul 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(103206)
click
484 22313042 + 30422231   10187 May 2022 Oliver Kruse Leyland plus-form click
485 24293000 − 30002429   10157 Jun 2023 Florian Piesker Leyland minus-form click
486 15433178 + 31781543   10133 May 2022 Paul Leyland Leyland plus-form click
487 M(42145) / M(8429) / 13604811874892518060205885792305751   10116 Jul 2024 Alex Kruppa Mersenne cofactor of M(42145) click
488 11413308 − 33081141   10114 Jun 2023 Florian Piesker Leyland minus-form click
489 12343265 + 32651234   10094 Jun 2022 Greg Childers Leyland plus-form click
490 See complete expression   10081 Jun 2022 David Broadhurst - click
491 (29092910 − 29102909) / 41   10078 Jan 2023 Youcef Lemsafer Leyland minus-form cofactor click
492 27392930 + 29302739   10073 Jun 2022 Greg Childers Leyland plus-form click
493 See complete expression   10068 Jul 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(117222)
click
494 2072644824759 • 233333 + 5   10047 Jun 2022 Greg Childers Part of first known gigantic prime triplet
  re-certified via CM
click
495 6483571 + 3571648   10041 May 2022 Greg Childers Leyland plus-form click
496 19813042 − 30421981   10030 May 2023 Anonymous Leyland minus-form click
497 1010020 + 16657   10021 Aug 2024 Alfred Reich - click
498 1010020 − 237   10020 Aug 2024 Alfred Reich - click
499 28942894 + 20532053   10018 May 2024 Oliver Kruse Leyland plus-form click
500 See complete expression   10014 Jul 2024 Alex Kruppa Mersenne cofactor of M(42679) click
501 515857 − 505857   10002 Apr 2025 Anonymous Oakes number click
502 1010001 + 28331593   10002 May 2024 Anonymous - click
503 (52 • 1010000 + 11) / 9   10001 Mar 2023 Youcef Lemsafer - click
504 12843217 − 12833217   10001 Apr 2025 Anonymous Oakes number click
505 1010000 + 1017363   10001 Aug 2024 Alfred Reich - click
506 1010000 + 165031   10001 Aug 2024 Alfred Reich - click
507 1010000 + 65277   10001 Oct 2023 U.N.Owen - click
508 1010000 + 28579   10001 Oct 2023 U.N.Owen - click
509 1010000 − 22403   10000 Aug 2024 Alfred Reich - click
510 1010000 − 47717   10000 Aug 2024 Alfred Reich - click
511 1010000 − 322497   10000 Sep 2024 Alfred Reich - click
512 894297 • 109994 + 711826   10000 Aug 2024 Alfred Reich - click
513 233219 − 52545   10000 Jul 2024 Alfred Reich - click
514 631101 • 109994 + 711826   10000 Aug 2024 Alfred Reich - click
515 Fib(47850) + 20841   10000 Dec 2023 Tengfei Wang - click
516 (237371 + 397) / 41745703454270394607773342228304835316   10000 Jul 2024 Alfred Reich - click
517 (237344 + 231) / 8   10000 Jul 2022 Florian Piesker - click
518 299667 • 109994 + 711826   10000 Aug 2024 Alfred Reich - click
519 240708 • 109994 + 711826   10000 Aug 2024 Alfred Reich - click
520 233217 + 111   10000 May 2022 Anonymous - click
521 233217 − 721155   10000 Mar 2024 Edwin Hall - click
522 See complete expression   10000 Aug 2024 Alfred Reich - click
523 See complete expression   10000 Aug 2024 Alfred Reich Leyland plus-form cofactor click
524 Fib(47847) + 26679   10000 Jul 2024 Alfred Reich - click
525 (1010000 − 1) / 9 + 7 • 10885   10000 Aug 2024 Alfred Reich Near repunit click
526 233216 + 281577   10000 Mar 2023 Youcef Lemsafer - click
527 ((11476 • 1035 + 4113)256 + 1) / 2   10000 Aug 2024 Alfred Reich Generalized half-Fermat click
528 (33875430588693094381512 + 1) / 2   10000 Aug 2024 Alfred Reich Generalized half-Fermat click
529 (33875430588693055871512 + 1) / 2   10000 Aug 2024 Alfred Reich Generalized half-Fermat click
530 1309747264300589758110032419673347620959731068338635399869049806286716959555931128 + 2   10000 Aug 2024 Alfred Reich - click
531 10 • (104999 + 520488)2 + 7   10000 Aug 2024 Alfred Reich - click
532 10 • (104999 + 517910)2 + 7   10000 Aug 2024 Alfred Reich - click
533 10 • (104999 + 86414)2 + 7   10000 Aug 2024 Alfred Reich - click
534 109999 + 21870245691511147257   10000 Jul 2024 Alfred Reich - click
535 109999 + 7066834558999   10000 Aug 2024 Alfred Reich - click
536 109999 + 274366375363   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 2, 6
click
537 109999 + 274366375359   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 2, 6
click
538 109999 + 274366375357   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 2, 6
click
539 109999 + 194011932123   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 4, 6
click
540 109999 + 194011932121   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 4, 6
click
541 109999 + 194011932117   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 4, 6
click
542 109999 + 11147257   10000 May 2022 Anonymous - click
543 109999 + 780199   10000 Jul 2024 Alfred Reich - click
544 109999 + 78571   10000 Nov 2024 Alfred Reich - click
545 109999 + 70999   10000 Oct 2023 U.N.Owen - click
546 (109999 + 1253) / 3   9999 Jul 2024 Alfred Reich - click
547 22522981 − 29812252   9995 Jun 2023 Florian Piesker Leyland minus-form click
548 (52 • 109998 − 43) / 4035281193   9991 Mar 2023 Youcef Lemsafer - click
549 (997 • 320847 − 1) / 2   9950 Jul 2022 Florian Piesker - click
550 (3 • 1074900 − 1) / 2    9945 Jun 2023 Florian Piesker - click
551 7383467 − 3467738   9944 Jun 2023 Florian Piesker Leyland minus-form click
552 See complete expression   9935 Jul 2024 Alex Kruppa Mersenne cofactor of M(40411) click
553 (82 • 109931 + 53) / 9   9932 Mar 2023 Youcef Lemsafer - click
554 14583139 − 31391458    9932 Jun 2023 Florian Piesker Leyland minus-form click
555 (4 • 109919 + 9) / 7   9919 Mar 2023 Youcef Lemsafer - click
556 (109918 − 1) / 9 − 109568   9918 Dec 2022 Youcef Lemsafer Near repunit click
557 27192882 − 28822719   9898 Jun 2023 Florian Piesker Leyland minus-form click
558 11283241 − 32411128   9893 Jun 2023 Florian Piesker Leyland minus-form click
559 (27 • 915048 − 1) / 2   9891 Jun 2022 Florian Piesker - click
560 27112880 − 28802711   9888 Jun 2023 Florian Piesker Leyland minus-form click
561 232767 + 34769   9864 Oct 2023 Maia Karpovich - click
562 17413042 − 30421741   9859 Jan 2024 Tengfei Wang Leyland minus-form click
563 (19 • 109862 + 89) / 8814321   9857 Jul 2024 Alfred Reich - click
564 (86 • 109860 + 13) / 1669254641109   9850 Mar 2023 Youcef Lemsafer - click
565 4033780 − 3780403   9849 Feb 2024 Tengfei Wang Leyland minus-form click
566 232672 − 384539   9836 Mar 2023 Maia Karpovich - click
567 See complete expression   9800 Apr 2023 Youcef Lemsafer Generalized Wagstaff cofactor click
568 See complete expression   9750 Apr 2023 Youcef Lemsafer Generalized repunit cofactor click
569 See complete expression   9744 Jul 2024 Alex Kruppa Mersenne cofactor of M(60765) click
570 (839 • 910171 − 7) / 8   9708 Sep 2022 Florian Piesker - click
571 (14 • 109698 + 1) / 3   9699 Mar 2023 Youcef Lemsafer - click
572 (513873 − 1) / 4   9697 Jul 2022 Florian Piesker Generalized repunit click
573 (934903 − 1) / 92   9650 Jul 2022 Florian Piesker Generalized repunit click
574 528 • 366178 + 31   9618 Dec 2022 Florian Piesker - click
575 (77 • 109614 + 31) / 23536898034822153   9600 Feb 2023 Youcef Lemsafer - click
576 (14 • 109580 + 1) / 3   9581 Apr 2023 Youcef Lemsafer - click
577 M(33373) / M(1451) / 19878816283502926167695890057664423   9576 Jul 2024 Alex Kruppa Mersenne cofactor click
578 ((215820 − 1)2 + 3) / 228   9523 Jul 2024 Alex Kruppa - click
579 See complete expression   9502 Jul 2024 Alex Kruppa Mersenne cofactor of M(42835) click
580 (109500 − 1) / 9 − 105303   9500 Mar 2023 Youcef Lemsafer Near repunit click
581 (1994096 + 374096) / 131074   9411 Jan 2023 Youcef Lemsafer - click
582 (15049 • 109403 − 1) / 9   9407 Apr 2023 Florian Piesker - click
583 (2 • 109401 + 61) / 9   9401 Jan 2023 Anonymous Near repdigit click
584 (64 • 109400 + 71) / 711   9399 Mar 2023 Youcef Lemsafer - click
585 (1974096 + 1894096) / 2   9398 Jan 2023 Youcef Lemsafer - click
586 109377 + 4551   9378 Aug 2024 Alfred Reich - click
587 See complete expression   9308 Jul 2025 Anonymous Repunit cofactor click
588 (41 • 109300 − 23) / 9   9301 Feb 2023 Youcef Lemsafer - click
589 (513241 − 1) / 4   9255 Jul 2022 Florian Piesker Generalized repunit click
590 (109278 + 104639 + 1) / 155791258534161207680682613894702422837812665874936877   9225 Sep 2024 Alfred Reich Cyclotomic polynomial cofactor
  of R(27834)
click
591 See complete expression   9169 Jun 2024 Alex Kruppa Mersenne cofactor of M(47337) click
592 M(38105) / M(7621) / 85163760511   9166 Jun 2024 Alex Kruppa Mersenne cofactor click
593 See complete expression   9142 Jun 2024 Alex Kruppa Mersenne cofactor of M(56955) click
594 1281979 • 109078 + 9791821   9085 Sep 2022 Anonymous - click
595 (1614096 + 1574096) / 2   9039 Jan 2023 Youcef Lemsafer - click
596 See complete expression   9034 Sep 2024 Alfred Reich - click
597 229999 + 322389431   9031 Oct 2023 Frank Doornink Part of smallest 30000-bit prime twin click
598 229999 + 322389429   9031 Oct 2023 Frank Doornink Part of smallest 30000-bit prime twin click
599 229999 + 28911   9031 Jul 2023 Oliver Kruse Smallest 30000-bit prime click
600 (2971 • 512899 − 1) / 2   9020 Sep 2022 Florian Piesker - click
601 (109022 − 28) / 459131477292   9011 Mar 2024 Youcef Lemsafer - click
602 (16452802 + 28021645) / 54521153   9004 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
603 (86112681 − 1) / (8611383 − 1) / 10756307476841112466091538968116681045957633   9000 Mar 2024 Edwin Hall Generalized repunit cofactor click
604 3761 • (37602627 + 1) / (376071 + 1) / (376037 + 1) / 11925450391   9000 Mar 2024 Edwin Hall Generalized Wagstaff cofactor click
605 See complete expression   9000 Mar 2024 Edwin Hall - click
606 (22092693 + 26932209) / 5355882   9000 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
607 (109001 − 869) / 89   9000 Mar 2024 Edwin Hall - click
608 (109000 − 1) / 9 − 103826   9000 Nov 2023 U.N.Owen Near repunit click
609 16 • 365779 − 1163   8996 Dec 2022 Florian Piesker - click
610 (1574096 + 1114096) / 2   8995 Jan 2023 Youcef Lemsafer - click
611 (1574096 + 834096) / 2   8995 Jan 2023 Youcef Lemsafer - click
612 (48058 • 89949 − 3) / 7   8989 Oct 2022 Florian Piesker - click
613 1554096 + 664096   8972 Jan 2023 Youcef Lemsafer - click
614 108960 − 19389   8960 Aug 2024 Alfred Reich - click
615 1534096 + 404096   8949 Jan 2023 Youcef Lemsafer - click
616 (884586 + 458688) / 288 / 1985   8888 Jul 2024 Alfred Reich Leyland plus-form cofactor click
617 108802 − 20577   8802 Aug 2024 Alfred Reich - click
618 (123482153 − 1) / 6698951279   8800 Apr 2023 Youcef Lemsafer Generalized repunit cofactor click
619 25692569 + 22   8760 May 2025 Tengfei Wang Lifchitz plus-form click
620 1374096 + 104096   8753 Jan 2023 Youcef Lemsafer - click
621 108744 − 27857   8744 Aug 2024 Alfred Reich - click
622 (31 • 177092 − 15) / 16   8727 Jun 2022 Florian Piesker - click
623 (65 • 108709 + 43) / 16087990743   8701 Feb 2023 Youcef Lemsafer - click
624 724673 − 467372   8680 Mar 2023 Youcef Lemsafer Leyland minus-form click
625 See PrimePages for more informations   8678 Aug 2025 Serge Batalov Lehmer primitive part click
626 (7 • 108653 − 61) / 7551   8650 Feb 2023 Youcef Lemsafer - click
627 (86 • 108621 − 41) / 58239   8619 Feb 2023 Youcef Lemsafer - click
628 (1274096 + 904096) / 163841   8612 Feb 2023 Youcef Lemsafer - click
629 18641 • (186402359 + 1) / (18640337 + 1) / 163857991005752979174572330844369578279   8601 Mar 2023 Youcef Lemsafer Generalized Wagstaff cofactor click
630 (8472941 + 2941847) / 527481769684   8600 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
631 (108600 − 1) / 9 − 104293   8600 Mar 2023 Youcef Lemsafer Near repunit click
632 1034272 − 4272103   8599 Feb 2023 Youcef Lemsafer Leyland minus-form click
633 (6413070 + 3070641) / 33971826983411341967   8598 Mar 2023 Youcef Lemsafer Leyland plus-form cofactor click
634 (9901 • 108589 − 1) / 9   8593 Jul 2022 Florian Piesker - click
635 (1394012 + 4012139) / 100314287268997379755577   8575 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
636 (108579 − 3) / 39671   8575 Feb 2023 Youcef Lemsafer - click
637 (82 • 108570 − 1) / 9   8571 Aug 2023 Anonymous Near repunit click
638 (14 • 108570 + 1) / 687   8569 Feb 2023 Youcef Lemsafer - click
639 (1111111102 • 108557 − 1) / 9   8566 Mar 2024 Tengfei Wang - click
640 (1234096 + 1154096) / 2506754   8554 Jan 2023 Youcef Lemsafer - click
641 (68 • 108555 + 31) / 134379   8552 Feb 2023 Youcef Lemsafer - click
642 1224096 + 694096   8546 Jan 2023 Youcef Lemsafer - click
643 (28 • 108537 − 1) / 9   8538 Jan 2023 Florian Piesker Near repunit click
644 (64 • 108541 + 17) / 338616927009   8532 Mar 2023 Youcef Lemsafer - click
645 (7 • 108529 − 43) / 9732121263   8520 Mar 2023 Youcef Lemsafer - click
646 (118192 + 24096) / 811750637569   8520 Jan 2023 Youcef Lemsafer - click
647 (710079 − 1) / 8345418   8511 Oct 2024 Jiahao He Generalized repunit cofactor click
648 (10282825 + 28251028) / 1623887337   8500 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
649 (13 • 228232 − 1) / 3   8500 Sep 2025 Oliver Kruse - click
650 (73 • 108502 + 71) / 170487   8499 Mar 2023 Youcef Lemsafer - click
651 M(42447) / M(14149) / 86581124763285473569129   8496 Jun 2024 Alex Kruppa Mersenne cofactor click
652 (3473331 − 1) / 346   8460 May 2023 Tom Wu Generalized repunit click
653 (200100299192771693491 − 1) / 1373898629474229166883705969951160284311606388   8450 Mar 2023 Youcef Lemsafer Generalized repunit cofactor click
654 See complete expression   8446 Jun 2024 Alex Kruppa Mersenne cofactor of M(53055) click
655 (3123373 − 1) / 311   8411 Jun 2022 Florian Piesker Generalized repunit click
656 (108414 + 775) / 103775   8409 Jul 2024 Alfred Reich - click
657 108408 + 39913   8409 Jul 2024 Alfred Reich - click
658 (1134096 + 724096) / 273801217   8401 Jan 2023 Youcef Lemsafer - click
659 (9582819 + 2819958) / 200317   8400 Jan 2023 Youcef Lemsafer Leyland plus-form cofactor click
660 2873410 − 2   8382 Jun 2022 Florian Piesker - click
661 2376 • (23772641 − 1) / (2377139 − 1) / (237719 − 1) / 1477935293   8377 Feb 2023 Youcef Lemsafer Generalized repunit cofactor click
662 (1114096 + 404096) / 10737647617   8368 Jan 2023 Youcef Lemsafer - click
663 (11062749 + 27491106) / 263458528020130533   8350 May 2023 Youcef Lemsafer Leyland plus-form cofactor click
664 (35862351 − 1) / 16860255   8350 Mar 2023 Youcef Lemsafer Generalized repunit cofactor click
665 See complete expression   8338 Jun 2024 Alex Kruppa - click
666 (317477 − 1) / 1245760562   8330 Oct 2024 Jiahao He Generalized repunit cofactor click
667 See complete expression   8300 Feb 2023 Youcef Lemsafer Generalized repunit cofactor click
668 (117963 −1) / 43224926255859775947744209544153708970   8255 Oct 2024 Jiahao He Generalized repunit cofactor click
669 (13162647 + 26471316) / 3196923   8251 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
670 (22 • 108233 − 13) / 9   8234 Jul 2022 Anonymous - click
671 (38 • 108216 − 11) / 54190320114037707   8201 Mar 2023 Youcef Lemsafer - click
672 (41392267 − 1) / 4138   8196 Jan 2024 Tom Wu Generalized repunit click
673 (71 • 108196 − 53) / 33220323   8191 Feb 2023 Youcef Lemsafer - click
674 16 • 206270 + 13   8159 Jun 2022 Florian Piesker - click
675 (11 • 108128 +3) / 97   8128 Sep 2025 Oliver Kruse - click
676 (674451 − 1) / 66   8127 Jan 2024 Tom Wu Generalized repunit click
677 108124 + 4147   8125 Aug 2024 Alfred Reich - click
678 (317027 + 1) / 4   8124 Jul 2022 Florian Piesker Generalized Wagstaff click
679 (934096 + 384096) / 188417   8058 Jan 2023 Youcef Lemsafer - click
680 (53 • 108033 − 71) / 62932385240091   8021 Feb 2023 Youcef Lemsafer - click
681 (108009 − 1) / 9 − 102515   8009 Sep 2024 Oliver Kruse Near repunit click
682 (38242237 − 1) / 171044843   8006 Feb 2023 Youcef Lemsafer Generalized repunit cofactor click
683 (32692281 + 1) / 25519260590121990   8000 Mar 2024 Edwin Hall Generalized Wagstaff cofactor click
684 (79467 + 69) / 4   8000 Mar 2024 Edwin Hall - click
685 (434902 + 167) / 23920176   8000 Apr 2025 Anonymous - click
686 12170 • (121692059 + 1) / (1216971 + 1) / (1216929 + 1) / 29637247    8000 Mar 2024 Edwin Hall Generalized Wagstaff cofactor click
687 (141601931 − 1) / 12920932028719289   8000 Jan 2023 Anonymous Generalized repunit cofactor click
688 (121 • 226589 − 1) / 4027553   8000 Jul 2022 Florian Piesker - click
689 (87992029 − 1) / 8798   8000 Nov 2022 Anonymous Generalized repunit click
690 (32411 • 365138 − 1) / 35   8000 Jul 2022 Florian Piesker - click
691 See complete expression   8000 Mar 2024 Edwin Hall - click
692 See complete expression   8000 Mar 2024 Edwin Hall Generalized Wagstaff cofactor click
693 (1953496 + 3496195) / 5670889   8000 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
694 ((6156 + 1)66 + 2) / 5329098793947   8000 Mar 2024 Edwin Hall - click
695 See complete expression   8000 Mar 2024 Edwin Hall Generalized repunit cofactor click
696 107999 + 1600488488137   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet
click
697 107999 + 1600488488133   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet
click
698 107999 + 1600488488131   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet
click
699 107999 + 59692204803   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet
click
700 107999 + 59692204801   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet
click
701 107999 + 308129599   8000 Oct 2023 U.N.Owen - click
702 107999 + 273025591   8000 Mar 2024 Edwin Hall - click
703 (894096 + 334096) / 8929282   7978 Jan 2023 Youcef Lemsafer - click
704 (35 • 108001 − 53) / 8827926799385761612706799   7978 Feb 2023 Youcef Lemsafer - click
705 (19 • 107959 − 73) / 339391917   7952 Jul 2024 Alfred Reich - click
706 (2443331 − 1) / 243   7951 Jun 2022 Florian Piesker Generalized repunit click
707 (2 • 107925 + 61) / 9   7925 Jan 2023 Anonymous Near repdigit click
708 8232712 − 2712823   7907 May 2025 Tengfei Wang Leyland minus-form click
709 7342759 − 2759734   7907 May 2025 Tengfei Wang Leyland minus-form click
710 (77 • 107906 + 31) / 33854049   7901 Feb 2023 Youcef Lemsafer - click
711 (38032207 − 1) / 3802   7898 Jan 2024 Tom Wu Generalized repunit click
712 See PrimePages for more informations   7891 Aug 2025 Serge Batalov Part of CHG-proof of
  Lehmer primitive part (new)
click
713 (38 • 107876 + 43) / 9   7877 Jul 2022 Anonymous - click
714 12 • 186270 + 221   7872 Jun 2022 Florian Piesker - click
715 17122429 − 24291712   7855 May 2025 Tengfei Wang Leyland minus-form click
716 22112344 − 23442211   7840 May 2025 Tengfei Wang Leyland minus-form click
717 (5172887 − 1) / 516   7832 Jun 2022 Florian Piesker Generalized repunit click
718 21662347 − 23472166   7829 May 2025 Tengfei Wang Leyland minus-form click
719 1083841 − 3841108   7811 May 2025 Tengfei Wang Leyland minus-form click
720 (107807 + 27 • 103903 − 1) / 19323   7803 Feb 2023 Youcef Lemsafer - click
721 7442717 − 2717744   7803 May 2025 Tengfei Wang Leyland minus-form click
722 See complete expression   7778 Sep 2025 Oliver Kruse Mersenne cofactor of M(26161) click
723 107777 + 23631   7778 Dec 2022 Youcef Lemsafer - click
724 7902679 − 2679790   7763 May 2025 Tengfei Wang Leyland minus-form click
725 − E(2762) / 2670541   7760 May 2023 Frank Doornink Euler irregular
  re-certified via CM
click
726 17432392 − 23921743   7754 Feb 2024 Florian Piesker Leyland minus-form click
727 22302313 − 23132230   7745 Feb 2024 Florian Piesker Leyland minus-form click
728 (19 • 107733 − 73) / 1262287288345540958091   7714 Jul 2024 Alfred Reich - click
729 (23 • 107719 + 1) / 70520620353765145773   7701 Feb 2023 Youcef Lemsafer - click
730 (41272129 − 1) / 4126   7695 Sep 2024 Tom Wu Generalized repunit click
731 (109655 + 1) / (101931 + 1) / 542948081886669914746500880036351407378149370371   7677 Jul 2025 Anonymous Generalized Wagstaff cofactor click
732 (754096 + 174096) / 229378   7675 Jan 2023 Youcef Lemsafer - click
733 2953096 − 3096295   7647 May 2025 Tengfei Wang Leyland minus-form click
734 14972404 − 24041497   7634 Jan 2024 Florian Piesker Leyland minus-form click
735 13 • 285270 + 5697   7628 Oct 2022 Anonymous - click
736 19912312 − 23121991   7628 Jan 2024 Florian Piesker Leyland minus-form click
737 (734096 + 374096) / 81922   7628 Jan 2023 Youcef Lemsafer - click
738 20712298 − 22982071   7621 Jan 2024 Florian Piesker Leyland minus-form click
739 2053278 − 3278205   7578 Jan 2024 Florian Piesker Leyland minus-form click
740 11452466 − 24661145   7544 Jan 2024 Florian Piesker Leyland minus-form click
741 (12972423 − 1) / 1296   7540 Sep 2023 Anonymous Generalized repunit click
742 (843917 − 1) / 83   7536 Jul 2022 Florian Piesker Generalized repunit click
743 (19 • 107581 − 73) / 705339555643950750455644733834598431861786767432209   7532 Jul 2024 Alfred Reich - click
744 (19 • 107532 − 73) / 311235687   7525 Jul 2024 Alfred Reich - click
745 (8 • 107517 − 17) / 66339998953749837   7502 Dec 2022 Youcef Lemsafer - click
746 (684096 + 374096) / 3625623553   7497 Jan 2023 Youcef Lemsafer - click
747 (510723 + 1) / 1685398254   7486 Nov 2024 Jiahao He Generalized Wagstaff cofactor click
748 14572366 − 23661457   7485 Jan 2024 Florian Piesker Leyland minus-form click
749 2153206 −3206215   7478 Jan 2024 Florian Piesker Leyland minus-form click
750 3922883 − 2883392   7477 Jan 2024 Florian Piesker Leyland minus-form click
751 11122453 − 24531112   7473 Jan 2024 Florian Piesker Leyland minus-form click
752 (13192393 − 1) / 1318   7464 Jun 2023 Tom Wu Generalized repunit click
753 (69587 − 1) / 1547659697921495   7445 Oct 2024 Jiahao He Generalized repunit cofactor click
754 15582331 − 23311558   7442 Jan 2024 Florian Piesker Leyland minus-form click
755 13822367 − 23671382   7434 Jan 2024 Florian Piesker Leyland minus-form click
756 M(24977) /  
356188988279565678860712219326788909779222981959375612731418246191096000840878817568687  
7433 May 2025 Anonymous Mersenne cofactor click
757 9 • 107400 − 13   7401 Dec 2022 Youcef Lemsafer - click
758 See complete expression   7401 Aug 2024 Alfred Reich Generalized repunit cofactor click
759 (107400 − 1) / 9 − 10135   7400 Dec 2022 Youcef Lemsafer Near repunit click
760 107399 + 4119   7400 Dec 2022 Youcef Lemsafer - click
761 (19 • 107388 − 73) / 2519251881192081   7374 Jul 2024 Alfred Reich - click
762 (510567 − 1) / 462684221045557737731337100158760674675356   7345 Oct 2024 Jiahao He Generalized repunit cofactor click
763 (11872389 − 1) / 1186   7342 Jun 2023 Tom Wu Generalized repunit click
764 8822491 − 2491882   7338 Aug 2023 Florian Piesker Leyland minus-form click
765 (75 • 224339 − 1) / 248209057   7321 Sep 2024 Anonymous - click
766 See complete expression   7299 Sep 2024 Serge Batalov Cyclotomic polynomial cofactor
  of 1247505550 − 1
click
767 18122239 − 22391812   7296 Aug 2023 Florian Piesker Leyland minus-form click
768 11 • 136543 + 2012   7290 Jun 2022 Florian Piesker - click
769 (1743251 − 1) / 173   7282 Jun 2022 Florian Piesker Generalized repunit click
770 19882193 − 21931988   7234 Jul 2023 Florian Piesker Leyland minus-form click
771 21632164 − 21642163   7218 Jul 2023 Florian Piesker Leyland minus-form click
772 (5 • 304883 + 401) / 29   7213 Jun 2022 Florian Piesker - click
773 107203 + 8049   7204 Aug 2024 Alfred Reich - click
774 (107200 − 1) / 9 − 10620   7200 Jul 2024 Alfred Reich Near repunit click
775 (107200 − 1) / 9 − 104584   7200 Jul 2024 Alfred Reich Near repunit click
776 (36549 • 364619 − 289) / 35   7192 Dec 2022 Florian Piesker - click
777 12192324 − 23241219   7172 Jul 2023 Florian Piesker Leyland minus-form click
778 3282847 − 2847328   7163 Jul 2023 Florian Piesker Leyland minus-form click
779 (8632423 − 1) / 862   7112 May 2023 Tom Wu Generalized repunit click
780 (314957 + 1) / 1483315759467807874109351530756   7107 Nov 2024 Jiahao He Generalized Wagstaff cofactor click
781 15152234 − 22341515   7106 Jul 2023 Florian Piesker Leyland minus-form click
782 (979 • 364563 − 629) / 35   7103 Dec 2022 Florian Piesker - click
783 (4 • 107122 + 17) / 82113205012595611229319   7100 Dec 2022 Youcef Lemsafer - click
784 (414410 + 40) / 269785789357018487396191933   7086 Nov 2024 Alfred Reich Dual Williams cofactor click
785 13812252 − 22521381   7072 Jul 2023 Florian Piesker Leyland minus-form click
786 (7 • 223487 + 1) / 3   7071 Aug 2024 Alfred Reich - click
787 14032246 − 22461403   7069 Jul 2023 Florian Piesker Leyland minus-form click
788 (1493251 − 1) / 148   7063 Jun 2023 Tom Wu Generalized repunit click
789 (11 • 107020 − 101) / 9   7021 Oct 2024 Alfred Reich - click
790 (89 • 223281 − 1) / 11584437   7004 Sep 2024 Oliver Kruse - click
791 107002 + 51159   7003 Aug 2024 Alfred Reich - click
792 (19732125 + 21251973) / 6   7002 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
793 107001 + 301   7002 Dec 2023 U.N.Owen - click
794 (143 • 223276 + 1) / 1243550463   7000 Jun 2022 Anonymous - click
795 (78305 + 131) / 5948061232140505794   7000 Mar 2024 Edwin Hall - click
796 (42561969 + 39382128) / 22128 / 28264230669   7000 Mar 2024 Edwin Hall - click
797 (107000 + 546) / 2   7000 Sep 2023 U.N.Owen - click
798 14983 • (149841763 − 1) / (1498443 − 1) / (1498441 − 1) / 5711006133239723   7000 Mar 2024 Edwin Hall Generalized repunit cofactor click
799 (6582487 + 2487658) / 4307646419   7000 Nov 2024 Alfred Reich Leyland plus-form click
800 (11 • 107000 + 61) / 63   7000 Dec 2022 Youcef Lemsafer - click
801 106999 + 1868862621093   7000 Sep 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet
click
802 106999 + 1868862621091   7000 Sep 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet
click
803 106999 + 1868862621087   7000 Sep 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet
click
804 106999 + 1141791245443   7000 Aug 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet
click
805 106999 + 1141791245439   7000 Aug 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet
click
806 106999 + 1141791245437   7000 Aug 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet
click