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 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 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		 click
68 Τ(1572206)   26643 Jul 2022 Greg Childers Ramanujan tau function click
69 288071 + 88071   26513 Jun 2025 Tengfei Wang Dual Cullen prime 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		 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 φ(17003,10) / 215414318848365482017888228389199   14500 Sep 2024 Alfred Reich Cyclotomic polynomial 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 2023 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 (34 • 1010499 − 61) / 9   10500 Dec 2022 Jason Parker-Burlingham - click
452 1010470 + 3   10471 Aug 2022 Florian Piesker - click
453 12093392 + 33921209   10456 May 2022 Greg Childers Leyland plus-form click
454 26613052 − 30522661   10454 Jun 2025 Tengfei Wang Leyland minus-form click
455 29183013 − 30132918   10441 Jun 2025 Tengfei Wang Leyland minus-form click
456 16783225 + 32251678   10400 May 2022 Greg Childers Leyland plus-form click
457 17723201 + 32011772   10399 May 2022 Greg Childers Leyland plus-form click
458 (82 • 1010394 + 71) / 9   10395 Nov 2023 Richard G. Palindrome click
459 19663155 + 31551966   10392 May 2022 Anonymous Leyland plus-form click
460 (2 • 1010391 + 61) / 9   10391 Jan 2023 Florian Baur Near repdigit click
461 (419 • 712274 − 5) / 6   10375 Sep 2022 Florian Piesker - click
462 1010371 + 24679   10372 Aug 2024 Alfred Reich - click
463 1010370 + 7891   10371 Aug 2024 Alfred Reich - click
464 1010369 + 20863   10370 Aug 2024 Alfred Reich - click
465 27693008 − 30082769   10355 Jun 2025 Tengfei Wang Leyland minus-form click
466 17483193 − 31931748   10354 Feb 2024 Tengfei Wang Leyland minus-form click
467 See complete expression   10350 Jul 2024 Alex Kruppa Mersenne cofactor of M(47575) click
468 24483053 − 30532448   10347 Jun 2025 Tengfei Wang Leyland minus-form click
469 6 • Bern(4306) / 2153   10342 Jun 2022 Greg Childers Irregular click
470 29172982 − 29822917   10333 Jun 2025 Tengfei Wang Leyland minus-form click
471 8513522 + 3522851   10320 May 2022 Paul Leyland Leyland plus-form click
472 See complete expression   10317 Nov 2025 Anonymous Repunit cofactor of R(40404) (new) click
473 2124431 − 4431212   10308 Jun 2023 Florian Piesker Leyland minus-form click
474 See complete expression   10305 May 2024 Richard G. - click
475 See complete expression   10300 Sep 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(119994)		 click
476 19513128 − 31281951   10292 Jun 2023 Florian Piesker Leyland minus-form click
477 (4341 • 514720 − 1) / 4   10292 Oct 2022 Anonymous - click
478 (158741 − 1) / 14   10280 Jul 2022 Florian Piesker Generalized repunit click
479 613206 + 217   10277 Feb 2024 Florian Piesker - click
480 59056921173 • 234030 + 7   10255 Jun 2022 Greg Childers Part of sexy prime pair click
481 6973594 + 3594697   10219 May 2022 Greg Childers Leyland plus-form click
482 10613372 − 33721061   10203 Jun 2023 Florian Piesker Leyland minus-form click
483 (191 • 1055045 + 1) / 8   10199 Jun 2022 Florian Piesker - click
484 8123505 − 3505812   10198 Jun 2023 Florian Piesker Leyland minus-form click
485 See complete expression   10195 Jul 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(103206)		 click
486 22313042 + 30422231   10187 May 2022 Oliver Kruse Leyland plus-form click
487 24293000 − 30002429   10157 Jun 2023 Florian Piesker Leyland minus-form click
488 15433178 + 31781543   10133 May 2022 Paul Leyland Leyland plus-form click
489 M(42145) / M(8429) / 13604811874892518060205885792305751   10116 Jul 2024 Alex Kruppa Mersenne cofactor of M(42145) click
490 11413308 − 33081141   10114 Jun 2023 Florian Piesker Leyland minus-form click
491 12343265 + 32651234   10094 Jun 2022 Greg Childers Leyland plus-form click
492 Φ(23912,10)   10081 Jun 2022 David Broadhurst Cyclotomic polynomial cofactor
  of R(23912)		 click
493 (29092910 − 29102909) / 41   10078 Jan 2023 Youcef Lemsafer Leyland minus-form cofactor click
494 27392930 + 29302739   10073 Jun 2022 Greg Childers Leyland plus-form click
495 See complete expression   10068 Jul 2024 Alex Kruppa Cyclotomic polynomial cofactor
  of M(117222)		 click
496 2072644824759 • 233333 + 5   10047 Jun 2022 Greg Childers Part of first known gigantic prime triplet
  re-certified via CM 		click
497 6483571 + 3571648   10041 May 2022 Greg Childers Leyland plus-form click
498 19813042 − 30421981   10030 May 2023 Anonymous Leyland minus-form click
499 1010020 + 16657   10021 Aug 2024 Alfred Reich - click
500 1010020 − 237   10020 Aug 2024 Alfred Reich - click
501 28942894 + 20532053   10018 May 2024 Oliver Kruse Leyland plus-form click
502 See complete expression   10014 Jul 2024 Alex Kruppa Mersenne cofactor of M(42679) click
503 515857 − 505857   10002 Apr 2025 Anonymous Oakes number click
504 1010001 + 28331593   10002 May 2024 Anonymous - click
505 (52 • 1010000 + 11) / 9   10001 Mar 2023 Youcef Lemsafer - click
506 12843217 − 12833217   10001 Apr 2025 Anonymous Oakes number click
507 1010000 + 1017363   10001 Aug 2024 Alfred Reich - click
508 1010000 + 165031   10001 Aug 2024 Alfred Reich - click
509 1010000 + 65277   10001 Oct 2023 U.N.Owen - click
510 1010000 + 28579   10001 Oct 2023 U.N.Owen - click
511 1010000 − 22403   10000 Aug 2024 Alfred Reich - click
512 1010000 − 47717   10000 Aug 2024 Alfred Reich - click
513 1010000 − 322497   10000 Sep 2024 Alfred Reich - click
514 894297 • 109994 + 711826   10000 Aug 2024 Alfred Reich - click
515 233219 − 52545   10000 Jul 2024 Alfred Reich - click
516 631101 • 109994 + 711826   10000 Aug 2024 Alfred Reich - click
517 Fib(47850) + 20841   10000 Dec 2023 Tengfei Wang - click
518 (237371 + 397) / 41745703454270394607773342228304835316   10000 Jul 2024 Alfred Reich - click
519 (237344 + 231) / 8   10000 Jul 2022 Florian Piesker - click
520 299667 • 109994 + 711826   10000 Aug 2024 Alfred Reich - click
521 240708 • 109994 + 711826   10000 Aug 2024 Alfred Reich - click
522 233217 + 111   10000 May 2022 Anonymous - click
523 233217 − 721155   10000 Mar 2024 Edwin Hall - click
524 See complete expression   10000 Aug 2024 Alfred Reich - click
525 See complete expression   10000 Aug 2024 Alfred Reich Leyland plus-form cofactor click
526 Fib(47847) + 26679   10000 Jul 2024 Alfred Reich - click
527 (1010000 − 1) / 9 + 7 • 10885   10000 Aug 2024 Alfred Reich Near repunit click
528 233216 + 281577   10000 Mar 2023 Youcef Lemsafer - click
529 ((11476 • 1035 + 4113)256 + 1) / 2   10000 Aug 2024 Alfred Reich Generalized half-Fermat click
530 (33875430588693094381512 + 1) / 2   10000 Aug 2024 Alfred Reich Generalized half-Fermat click
531 (33875430588693055871512 + 1) / 2   10000 Aug 2024 Alfred Reich Generalized half-Fermat click
532 1309747264300589758110032419673347620959731068338635399869049806286716959555931128 + 2   10000 Aug 2024 Alfred Reich - click
533 10 • (104999 + 520488)2 + 7   10000 Aug 2024 Alfred Reich - click
534 10 • (104999 + 517910)2 + 7   10000 Aug 2024 Alfred Reich - click
535 10 • (104999 + 86414)2 + 7   10000 Aug 2024 Alfred Reich - click
536 109999 + 21870245691511147257   10000 Jul 2024 Alfred Reich - click
537 109999 + 7066834558999   10000 Aug 2024 Alfred Reich - click
538 109999 + 274366375363   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 2, 6		 click
539 109999 + 274366375359   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 2, 6		 click
540 109999 + 274366375357   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 2, 6		 click
541 109999 + 194011932123   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 4, 6		 click
542 109999 + 194011932121   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 4, 6 		click
543 109999 + 194011932117   10000 Jun 2023 Oliver Kruse Part of the smallest gigantic triplet
  to pattern d = 0, 4, 6		 click
544 109999 + 11147257   10000 May 2022 Anonymous - click
545 109999 + 780199   10000 Jul 2024 Alfred Reich - click
546 109999 + 78571   10000 Nov 2024 Alfred Reich - click
547 109999 + 70999   10000 Oct 2023 U.N.Owen - click
548 (109999 + 1253) / 3   9999 Jul 2024 Alfred Reich - click
549 22522981 − 29812252   9995 Jun 2023 Florian Piesker Leyland minus-form click
550 (52 • 109998 − 43) / 4035281193   9991 Mar 2023 Youcef Lemsafer - click
551 (997 • 320847 − 1) / 2   9950 Jul 2022 Florian Piesker - click
552 (3 • 1074900 − 1) / 2    9945 Jun 2023 Florian Piesker - click
553 7383467 − 3467738   9944 Jun 2023 Florian Piesker Leyland minus-form click
554 See complete expression   9935 Jul 2024 Alex Kruppa Mersenne cofactor of M(40411) click
555 (82 • 109931 + 53) / 9   9932 Mar 2023 Youcef Lemsafer - click
556 14583139 − 31391458    9932 Jun 2023 Florian Piesker Leyland minus-form click
557 (4 • 109919 + 9) / 7   9919 Mar 2023 Youcef Lemsafer - click
558 (109918 − 1) / 9 − 109568   9918 Dec 2022 Youcef Lemsafer Near repunit click
559 27192882 − 28822719   9898 Jun 2023 Florian Piesker Leyland minus-form click
560 11283241 − 32411128   9893 Jun 2023 Florian Piesker Leyland minus-form click
561 (27 • 915048 − 1) / 2   9891 Jun 2022 Florian Piesker - click
562 27112880 − 28802711   9888 Jun 2023 Florian Piesker Leyland minus-form click
563 232767 + 34769   9864 Oct 2023 Maia Karpovich - click
564 17413042 − 30421741   9859 Jan 2024 Tengfei Wang Leyland minus-form click
565 (19 • 109862 + 89) / 8814321   9857 Jul 2024 Alfred Reich - click
566 (86 • 109860 + 13) / 1669254641109   9850 Mar 2023 Youcef Lemsafer - click
567 4033780 − 3780403   9849 Feb 2024 Tengfei Wang Leyland minus-form click
568 232672 − 384539   9836 Mar 2023 Maia Karpovich - click
569 See complete expression   9800 Apr 2023 Youcef Lemsafer Generalized Wagstaff cofactor click
570 See complete expression   9750 Apr 2023 Youcef Lemsafer Generalized repunit cofactor click
571 See complete expression   9744 Jul 2024 Alex Kruppa Mersenne cofactor of M(60765) click
572 (839 • 910171 − 7) / 8   9708 Sep 2022 Florian Piesker - click
573 (14 • 109698 + 1) / 3   9699 Mar 2023 Youcef Lemsafer - click
574 (513873 − 1) / 4   9697 Jul 2022 Florian Piesker Generalized repunit click
575 (934903 − 1) / 92   9650 Jul 2022 Florian Piesker Generalized repunit click
576 528 • 366178 + 31   9618 Dec 2022 Florian Piesker - click
577 (77 • 109614 + 31) / 23536898034822153   9600 Feb 2023 Youcef Lemsafer - click
578 (14 • 109580 + 1) / 3   9581 Apr 2023 Youcef Lemsafer - click
579 M(33373) / M(1451) / 19878816283502926167695890057664423   9576 Jul 2024 Alex Kruppa Mersenne cofactor click
580 ((215820 − 1)2 + 3) / 228   9523 Jul 2024 Alex Kruppa - click
581 See complete expression   9502 Jul 2024 Alex Kruppa Mersenne cofactor of M(42835) click
582 (109500 − 1) / 9 − 105303   9500 Mar 2023 Youcef Lemsafer Near repunit click
583 (1994096 + 374096) / 131074   9411 Jan 2023 Youcef Lemsafer - click
584 (15049 • 109403 − 1) / 9   9407 Apr 2023 Florian Piesker - click
585 (2 • 109401 + 61) / 9   9401 Jan 2023 Florian Baur Near repdigit click
586 (64 • 109400 + 71) / 711   9399 Mar 2023 Youcef Lemsafer - click
587 (1974096 + 1894096) / 2   9398 Jan 2023 Youcef Lemsafer - click
588 109377 + 4551   9378 Aug 2024 Alfred Reich - click
589 Φ(15717,10) / 19371189787956960101904837526140849990432949485984853   9308 Jul 2025 Anonymous Repunit cofactor of R(15717) click
590 (41 • 109300 − 23) / 9   9301 Feb 2023 Youcef Lemsafer - click
591 (513241 − 1) / 4   9255 Jul 2022 Florian Piesker Generalized repunit click
592 Φ(13917,10) / ​1403524851659109979105248773826147953493807800675107   9225 Sep 2024 Alfred Reich Cyclotomic polynomial cofactor
  of R(13917)		 click
593 See complete expression   9169 Jun 2024 Alex Kruppa Mersenne cofactor of M(47337) click
594 M(38105) / M(7621) / 85163760511   9166 Jun 2024 Alex Kruppa Mersenne cofactor click
595 See complete expression   9142 Jun 2024 Alex Kruppa Mersenne cofactor of M(56955) click
596 1281979 • 109078 + 9791821   9085 Sep 2022 Anonymous - click
597 (1614096 + 1574096) / 2   9039 Jan 2023 Youcef Lemsafer - click
598 Φ(45340 [C+D] ,10) / ​436539564528651438637853247761   9034 Sep 2024 Alfred Reich Cyclotomic polynomial cofactor
  of R(45340)		 click
599 229999 + 322389431   9031 Oct 2023 Frank Doornink Part of smallest 30000-bit prime twin click
600 229999 + 322389429   9031 Oct 2023 Frank Doornink Part of smallest 30000-bit prime twin click
601 229999 + 28911   9031 Jul 2023 Oliver Kruse Smallest 30000-bit prime click
602 (2971 • 512899 − 1) / 2   9020 Sep 2022 Florian Piesker - click
603 (109022 − 28) / 459131477292   9011 Mar 2024 Youcef Lemsafer - click
604 (16452802 + 28021645) / 54521153   9004 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
605 (86112681 − 1) / (8611383 − 1) / 10756307476841112466091538968116681045957633   9000 Mar 2024 Edwin Hall Generalized repunit cofactor click
606 3761 • (37602627 + 1) / (376071 + 1) / (376037 + 1) / 11925450391   9000 Mar 2024 Edwin Hall Generalized Wagstaff cofactor click
607 See complete expression   9000 Mar 2024 Edwin Hall - click
608 (22092693 + 26932209) / 5355882   9000 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
609 (109001 − 869) / 89   9000 Mar 2024 Edwin Hall - click
610 (109000 − 1) / 9 − 103826   9000 Nov 2023 U.N.Owen Near repunit click
611 16 • 365779 − 1163   8996 Dec 2022 Florian Piesker - click
612 (1574096 + 1114096) / 2   8995 Jan 2023 Youcef Lemsafer - click
613 (1574096 + 834096) / 2   8995 Jan 2023 Youcef Lemsafer - click
614 (48058 • 89949 − 3) / 7   8989 Oct 2022 Florian Piesker - click
615 1554096 + 664096   8972 Jan 2023 Youcef Lemsafer - click
616 108960 − 19389   8960 Aug 2024 Alfred Reich - click
617 1534096 + 404096   8949 Jan 2023 Youcef Lemsafer - click
618 (884586 + 458688) / 288 / 1985   8888 Jul 2024 Alfred Reich Leyland plus-form cofactor click
619 108802 − 20577   8802 Aug 2024 Alfred Reich - click
620 (123482153 − 1) / 6698951279   8800 Apr 2023 Youcef Lemsafer Generalized repunit cofactor click
621 25692569 + 22   8760 May 2025 Tengfei Wang Lifchitz plus-form click
622 1374096 + 104096   8753 Jan 2023 Youcef Lemsafer - click
623 108744 − 27857   8744 Aug 2024 Alfred Reich - click
624 (31 • 177092 − 15) / 16   8727 Jun 2022 Florian Piesker - click
625 (65 • 108709 + 43) / 16087990743   8701 Feb 2023 Youcef Lemsafer - click
626 724673 − 467372   8680 Mar 2023 Youcef Lemsafer Leyland minus-form click
627 See PrimePages for more informations   8678 Aug 2025 Serge Batalov Lehmer primitive part click
628 (7 • 108653 − 61) / 7551   8650 Feb 2023 Youcef Lemsafer - click
629 (86 • 108621 − 41) / 58239   8619 Feb 2023 Youcef Lemsafer - click
630 (1274096 + 904096) / 163841   8612 Feb 2023 Youcef Lemsafer - click
631 18641 • (186402359 + 1) / (18640337 + 1) / 163857991005752979174572330844369578279   8601 Mar 2023 Youcef Lemsafer Generalized Wagstaff cofactor click
632 (8472941 + 2941847) / 527481769684   8600 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
633 (108600 − 1) / 9 − 104293   8600 Mar 2023 Youcef Lemsafer Near repunit click
634 1034272 − 4272103   8599 Feb 2023 Youcef Lemsafer Leyland minus-form click
635 (6413070 + 3070641) / 33971826983411341967   8598 Mar 2023 Youcef Lemsafer Leyland plus-form cofactor click
636 (9901 • 108589 − 1) / 9   8593 Jul 2022 Florian Piesker - click
637 (1394012 + 4012139) / 100314287268997379755577   8575 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
638 (108579 − 3) / 39671   8575 Feb 2023 Youcef Lemsafer - click
639 (82 • 108570 − 1) / 9   8571 Aug 2023 Anonymous Near repunit click
640 (14 • 108570 + 1) / 687   8569 Feb 2023 Youcef Lemsafer - click
641 (1111111102 • 108557 − 1) / 9   8566 Mar 2024 Tengfei Wang - click
642 (1234096 + 1154096) / 2506754   8554 Jan 2023 Youcef Lemsafer - click
643 (68 • 108555 + 31) / 134379   8552 Feb 2023 Youcef Lemsafer - click
644 1224096 + 694096   8546 Jan 2023 Youcef Lemsafer - click
645 (28 • 108537 − 1) / 9   8538 Jan 2023 Florian Piesker Near repunit click
646 (64 • 108541 + 17) / 338616927009   8532 Mar 2023 Youcef Lemsafer - click
647 (7 • 108529 − 43) / 9732121263   8520 Mar 2023 Youcef Lemsafer - click
648 (118192 + 24096) / 811750637569   8520 Jan 2023 Youcef Lemsafer - click
649 (710079 − 1) / 8345418   8511 Oct 2024 Jiahao He Generalized repunit cofactor click
650 (10282825 + 28251028) / 1623887337   8500 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
651 (13 • 228232 − 1) / 3   8500 Sep 2025 Oliver Kruse - click
652 (73 • 108502 + 71) / 170487   8499 Mar 2023 Youcef Lemsafer - click
653 M(42447) / M(14149) / 86581124763285473569129   8496 Jun 2024 Alex Kruppa Mersenne cofactor click
654 (3473331 − 1) / 346   8460 May 2023 Tom Wu Generalized repunit click
655 (200100299192771693491 − 1) / 1373898629474229166883705969951160284311606388   8450 Mar 2023 Youcef Lemsafer Generalized repunit cofactor click
656 See complete expression   8446 Jun 2024 Alex Kruppa Mersenne cofactor of M(53055) click
657 (3123373 − 1) / 311   8411 Jun 2022 Florian Piesker Generalized repunit click
658 (108414 + 775) / 103775   8409 Jul 2024 Alfred Reich - click
659 108408 + 39913   8409 Jul 2024 Alfred Reich - click
660 (1134096 + 724096) / 273801217   8401 Jan 2023 Youcef Lemsafer - click
661 (9582819 + 2819958) / 200317   8400 Jan 2023 Youcef Lemsafer Leyland plus-form cofactor click
662 2873410 − 2   8382 Jun 2022 Florian Piesker - click
663 2376 • (23772641 − 1) / (2377139 − 1) / (237719 − 1) / 1477935293   8377 Feb 2023 Youcef Lemsafer Generalized repunit cofactor click
664 (1114096 + 404096) / 10737647617   8368 Jan 2023 Youcef Lemsafer - click
665 (11062749 + 27491106) / 263458528020130533   8350 May 2023 Youcef Lemsafer Leyland plus-form cofactor click
666 (35862351 − 1) / 16860255   8350 Mar 2023 Youcef Lemsafer Generalized repunit cofactor click
667 See complete expression   8338 Jun 2024 Alex Kruppa - click
668 (317477 − 1) / 1245760562   8330 Oct 2024 Jiahao He Generalized repunit cofactor click
669 See complete expression   8300 Feb 2023 Youcef Lemsafer Generalized repunit cofactor click
670 (117963 −1) / 43224926255859775947744209544153708970   8255 Oct 2024 Jiahao He Generalized repunit cofactor click
671 (13162647 + 26471316) / 3196923   8251 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
672 (22 • 108233 − 13) / 9   8234 Jul 2022 Anonymous - click
673 (38 • 108216 − 11) / 54190320114037707   8201 Mar 2023 Youcef Lemsafer - click
674 (41392267 − 1) / 4138   8196 Jan 2024 Tom Wu Generalized repunit click
675 (71 • 108196 − 53) / 33220323   8191 Feb 2023 Youcef Lemsafer - click
676 16 • 206270 + 13   8159 Jun 2022 Florian Piesker - click
677 (11 • 108128 +3) / 97   8128 Sep 2025 Oliver Kruse - click
678 (674451 − 1) / 66   8127 Jan 2024 Tom Wu Generalized repunit click
679 108124 + 4147   8125 Aug 2024 Alfred Reich - click
680 (317027 + 1) / 4   8124 Jul 2022 Florian Piesker Generalized Wagstaff click
681 (934096 + 384096) / 188417   8058 Jan 2023 Youcef Lemsafer - click
682 (53 • 108033 − 71) / 62932385240091   8021 Feb 2023 Youcef Lemsafer - click
683 (108009 − 1) / 9 − 102515   8009 Sep 2024 Oliver Kruse Near repunit click
684 (38242237 − 1) / 171044843   8006 Feb 2023 Youcef Lemsafer Generalized repunit cofactor click
685 (32692281 + 1) / 25519260590121990   8000 Mar 2024 Edwin Hall Generalized Wagstaff cofactor click
686 (79467 + 69) / 4   8000 Mar 2024 Edwin Hall - click
687 (434902 + 167) / 23920176   8000 Apr 2025 Anonymous - click
688 12170 • (121692059 + 1) / (1216971 + 1) / (1216929 + 1) / 29637247    8000 Mar 2024 Edwin Hall Generalized Wagstaff cofactor click
689 (141601931 − 1) / 12920932028719289   8000 Jan 2023 Anonymous Generalized repunit cofactor click
690 (121 • 226589 − 1) / 4027553   8000 Jul 2022 Florian Piesker - click
691 (87992029 − 1) / 8798   8000 Nov 2022 Anonymous Generalized repunit click
692 (32411 • 365138 − 1) / 35   8000 Jul 2022 Florian Piesker - click
693 See complete expression   8000 Mar 2024 Edwin Hall - click
694 See complete expression   8000 Mar 2024 Edwin Hall Generalized Wagstaff cofactor click
695 (1953496 + 3496195) / 5670889   8000 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
696 ((6156 + 1)66 + 2) / 5329098793947   8000 Mar 2024 Edwin Hall - click
697 See complete expression   8000 Mar 2024 Edwin Hall Generalized repunit cofactor click
698 107999 + 1600488488137   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet		 click
699 107999 + 1600488488133   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet		 click
700 107999 + 1600488488131   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet		 click
701 107999 + 59692204803   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet		 click
702 107999 + 59692204801   8000 Jun 2023 Oliver Kruse Part of the smallest
  8000-digit prime triplet		 click
703 107999 + 308129599   8000 Oct 2023 U.N.Owen - click
704 107999 + 273025591   8000 Mar 2024 Edwin Hall - click
705 (894096 + 334096) / 8929282   7978 Jan 2023 Youcef Lemsafer - click
706 (35 • 108001 − 53) / 8827926799385761612706799   7978 Feb 2023 Youcef Lemsafer - click
707 (19 • 107959 − 73) / 339391917   7952 Jul 2024 Alfred Reich - click
708 (2443331 − 1) / 243   7951 Jun 2022 Florian Piesker Generalized repunit click
709 (2 • 107925 + 61) / 9   7925 Jan 2023 Florian Baur Near repdigit click
710 8232712 − 2712823   7907 May 2025 Tengfei Wang Leyland minus-form click
711 7342759 − 2759734   7907 May 2025 Tengfei Wang Leyland minus-form click
712 (77 • 107906 + 31) / 33854049   7901 Feb 2023 Youcef Lemsafer - click
713 (38032207 − 1) / 3802   7898 Jan 2024 Tom Wu Generalized repunit click
714 See PrimePages for more informations   7891 Aug 2025 Serge Batalov Part of CHG-proof of
  Lehmer primitive part		 click
715 (38 • 107876 + 43) / 9   7877 Jul 2022 Anonymous - click
716 12 • 186270 + 221   7872 Jun 2022 Florian Piesker - click
717 17122429 − 24291712   7855 May 2025 Tengfei Wang Leyland minus-form click
718 22112344 − 23442211   7840 May 2025 Tengfei Wang Leyland minus-form click
719 (5172887 − 1) / 516   7832 Jun 2022 Florian Piesker Generalized repunit click
720 21662347 − 23472166   7829 May 2025 Tengfei Wang Leyland minus-form click
721 1083841 − 3841108   7811 May 2025 Tengfei Wang Leyland minus-form click
722 (107807 + 27 • 103903 − 1) / 19323   7803 Feb 2023 Youcef Lemsafer - click
723 7442717 − 2717744   7803 May 2025 Tengfei Wang Leyland minus-form click
724 See complete expression   7778 Sep 2025 Oliver Kruse Mersenne cofactor of M(26161) click
725 107777 + 23631   7778 Dec 2022 Youcef Lemsafer - click
726 7902679 − 2679790   7763 May 2025 Tengfei Wang Leyland minus-form click
727 − E(2762) / 2670541   7760 May 2023 Frank Doornink Euler irregular
  re-certified via CM		 click
728 17432392 − 23921743   7754 Feb 2024 Florian Piesker Leyland minus-form click
729 22302313 − 23132230   7745 Feb 2024 Florian Piesker Leyland minus-form click
730 (19 • 107733 − 73) / 1262287288345540958091   7714 Jul 2024 Alfred Reich - click
731 (23 • 107719 + 1) / 70520620353765145773   7701 Feb 2023 Youcef Lemsafer - click
732 (41272129 − 1) / 4126   7695 Sep 2024 Tom Wu Generalized repunit click
733 Φ(19310,10) / 59723691770615984462270474099257662234974081   7677 Jul 2025 Anonymous Repunit cofactor of R(19310) click
734 (754096 + 174096) / 229378   7675 Jan 2023 Youcef Lemsafer - click
735 2953096 − 3096295   7647 May 2025 Tengfei Wang Leyland minus-form click
736 14972404 − 24041497   7634 Jan 2024 Florian Piesker Leyland minus-form click
737 13 • 285270 + 5697   7628 Oct 2022 Anonymous - click
738 19912312 − 23121991   7628 Jan 2024 Florian Piesker Leyland minus-form click
739 (734096 + 374096) / 81922   7628 Jan 2023 Youcef Lemsafer - click
740 20712298 − 22982071   7621 Jan 2024 Florian Piesker Leyland minus-form click
741 2053278 − 3278205   7578 Jan 2024 Florian Piesker Leyland minus-form click
742 11452466 − 24661145   7544 Jan 2024 Florian Piesker Leyland minus-form click
743 (12972423 − 1) / 1296   7540 Sep 2023 Anonymous Generalized repunit click
744 (843917 − 1) / 83   7536 Jul 2022 Florian Piesker Generalized repunit click
745 (19 • 107581 − 73) / 705339555643950750455644733834598431861786767432209   7532 Jul 2024 Alfred Reich - click
746 (19 • 107532 − 73) / 311235687   7525 Jul 2024 Alfred Reich - click
747 (8 • 107517 − 17) / 66339998953749837   7502 Dec 2022 Youcef Lemsafer - click
748 (684096 + 374096) / 3625623553   7497 Jan 2023 Youcef Lemsafer - click
749 (510723 + 1) / 1685398254   7486 Nov 2024 Jiahao He Generalized Wagstaff cofactor click
750 14572366 − 23661457   7485 Jan 2024 Florian Piesker Leyland minus-form click
751 2153206 −3206215   7478 Jan 2024 Florian Piesker Leyland minus-form click
752 3922883 − 2883392   7477 Jan 2024 Florian Piesker Leyland minus-form click
753 11122453 − 24531112   7473 Jan 2024 Florian Piesker Leyland minus-form click
754 (13192393 − 1) / 1318   7464 Jun 2023 Tom Wu Generalized repunit click
755 (69587 − 1) / 1547659697921495   7445 Oct 2024 Jiahao He Generalized repunit cofactor click
756 15582331 − 23311558   7442 Jan 2024 Florian Piesker Leyland minus-form click
757 13822367 − 23671382   7434 Jan 2024 Florian Piesker Leyland minus-form click
758 M(24977) /  
356188988279565678860712219326788909779222981959375612731418246191096000840878817568687  		 7433 May 2025 Anonymous Mersenne cofactor click
759 9 • 107400 − 13   7401 Dec 2022 Youcef Lemsafer - click
760 See complete expression   7401 Aug 2024 Alfred Reich Generalized repunit cofactor click
761 (107400 − 1) / 9 − 10135   7400 Dec 2022 Youcef Lemsafer Near repunit click
762 107399 + 4119   7400 Dec 2022 Youcef Lemsafer - click
763 (19 • 107388 − 73) / 2519251881192081   7374 Jul 2024 Alfred Reich - click
764 (510567 − 1) / 462684221045557737731337100158760674675356   7345 Oct 2024 Jiahao He Generalized repunit cofactor click
765 (11872389 − 1) / 1186   7342 Jun 2023 Tom Wu Generalized repunit click
766 8822491 − 2491882   7338 Aug 2023 Florian Piesker Leyland minus-form click
767 (75 • 224339 − 1) / 248209057   7321 Sep 2024 Anonymous - click
768 See complete expression   7299 Sep 2024 Serge Batalov Cyclotomic polynomial cofactor
  of 1247505550 − 1		 click
769 18122239 − 22391812   7296 Aug 2023 Florian Piesker Leyland minus-form click
770 11 • 136543 + 2012   7290 Jun 2022 Florian Piesker - click
771 (1743251 − 1) / 173   7282 Jun 2022 Florian Piesker Generalized repunit click
772 19882193 − 21931988   7234 Jul 2023 Florian Piesker Leyland minus-form click
773 21632164 − 21642163   7218 Jul 2023 Florian Piesker Leyland minus-form click
774 (5 • 304883 + 401) / 29   7213 Jun 2022 Florian Piesker - click
775 107203 + 8049   7204 Aug 2024 Alfred Reich - click
776 (107200 − 1) / 9 − 10620   7200 Jul 2024 Alfred Reich Near repunit click
777 (107200 − 1) / 9 − 104584   7200 Jul 2024 Alfred Reich Near repunit click
778 (36549 • 364619 − 289) / 35   7192 Dec 2022 Florian Piesker - click
779 12192324 − 23241219   7172 Jul 2023 Florian Piesker Leyland minus-form click
780 3282847 − 2847328   7163 Jul 2023 Florian Piesker Leyland minus-form click
781 (8632423 − 1) / 862   7112 May 2023 Tom Wu Generalized repunit click
782 (314957 + 1) / 1483315759467807874109351530756   7107 Nov 2024 Jiahao He Generalized Wagstaff cofactor click
783 15152234 − 22341515   7106 Jul 2023 Florian Piesker Leyland minus-form click
784 (979 • 364563 − 629) / 35   7103 Dec 2022 Florian Piesker - click
785 (4 • 107122 + 17) / 82113205012595611229319   7100 Dec 2022 Youcef Lemsafer - click
786 (414410 + 40) / 269785789357018487396191933   7086 Nov 2024 Alfred Reich Dual Williams cofactor click
787 13812252 − 22521381   7072 Jul 2023 Florian Piesker Leyland minus-form click
788 (7 • 223487 + 1) / 3   7071 Aug 2024 Alfred Reich - click
789 14032246 − 22461403   7069 Jul 2023 Florian Piesker Leyland minus-form click
790 (1493251 − 1) / 148   7063 Jun 2023 Tom Wu Generalized repunit click
791 (11 • 107020 − 101) / 9   7021 Oct 2024 Alfred Reich - click
792 (89 • 223281 − 1) / 11584437   7004 Sep 2024 Oliver Kruse - click
793 107002 + 51159   7003 Aug 2024 Alfred Reich - click
794 (19732125 + 21251973) / 6   7002 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
795 107001 + 301   7002 Dec 2023 U.N.Owen - click
796 (143 • 223276 + 1) / 1243550463   7000 Jun 2022 Anonymous - click
797 (78305 + 131) / 5948061232140505794   7000 Mar 2024 Edwin Hall - click
798 (42561969 + 39382128) / 22128 / 28264230669   7000 Mar 2024 Edwin Hall - click
799 (107000 + 546) / 2   7000 Sep 2023 U.N.Owen - click
800 14983 • (149841763 − 1) / (1498443 − 1) / (1498441 − 1) / 5711006133239723   7000 Mar 2024 Edwin Hall Generalized repunit cofactor click
801 (6582487 + 2487658) / 4307646419   7000 Nov 2024 Alfred Reich Leyland plus-form cofactor click
802 (11 • 107000 + 61) / 63   7000 Dec 2022 Youcef Lemsafer - click
803 106999 + 1868862621093   7000 Sep 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet		 click
804 106999 + 1868862621091   7000 Sep 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet		 click
805 106999 + 1868862621087   7000 Sep 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet		 click
806 106999 + 1141791245443   7000 Aug 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet		 click
807 106999 + 1141791245439   7000 Aug 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet		 click
808 106999 + 1141791245437   7000 Aug 2022 Oliver Kruse Part of smallest
  7000-digit prime triplet		 click
809 106998 + 699817 + 1710   6999 Jan 2023 Youcef Lemsafer - click
810 9552348 − 2348955   6998 Jul 2023 Florian Piesker Leyland minus-form click
811 (514096 + 144096) / 114689   6990 Jan 2023 Youcef Lemsafer - click
812 106966 + 54967   6967 Aug 2024 Alfred Reich - click
813 593930 − 393059   6960 Jul 2023 Florian Piesker Leyland minus-form click
814 (35 • 106954 − 593) / 9   6955 Jan 2023 Florian Piesker - click
815 (20032107 − 21072003) / 227032   6952 Sep 2024 Anonymous Leyland minus-form cofactor click
816 (27 • 1353250 − 1) / 2   6925 May 2022 Ryan S. Propper - click
817 (4 • 106923 − 1) / 3   6924 Nov 2022 Anonymous - click
818 16732138 − 21381673   6892 Jul 2023 Florian Piesker Leyland minus-form click
819 17692112 − 21121769   6860 Jul 2023 Florian Piesker Leyland minus-form click
820 16152138 − 21381615   6860 Jul 2023 Florian Piesker Leyland minus-form click
821 9662297 − 2297966   6857 Jul 2023 Florian Piesker Leyland minus-form click
822 2132944 − 2944213   6855 Jul 2023 Florian Piesker Leyland minus-form click
823 (11 • 1753048 − 1) / 2   6838 Jun 2022 Florian Piesker - click
824 16352126 − 21261635   6832 Jul 2023 Florian Piesker Leyland minus-form click
825 (17 • 106812 + 7) / 3   6813 Aug 2023 Markus Tervooren - click
826 (21172048 + 1) / 2   6811 Aug 2022 Florian Piesker Generalized half-Fermat click
827 4482565 − 2565448   6801 Jul 2023 Florian Piesker Leyland minus-form click
828 (106786 − 1) / 9 − 102992   6786 Aug 2024 Alfred Reich Near repunit click
829 106784 − 8387   6784 Aug 2024 Alfred Reich - click
830 7002379 − 2379700   6769 Jul 2023 Florian Piesker Leyland minus-form click
831 (8878 • 106763 − 1) / 3   6767 Dec 2022 Florian Piesker - click
832 18952064 − 20641895/   6765 Jul 2023 Florian Piesker Leyland minus-form click
833 (68707 + 1) / 39913890895403104540916291   6750 Nov 2024 Jiahao He Generalized Wagstaff cofactor click
834 1023359 − 3359102   6747 Jul 2023 Florian Piesker Leyland minus-form click
835 (3112707 + 1) / 312   6746 Jun 2022 Florian Piesker Generalized Wagstaff click
836 (16138 • 106711 − 1) / 9   6715 Dec 2022 Florian Piesker - click
837 11642179 − 21791164   6681 Jul 2023 Florian Piesker Leyland minus-form click
838 (414138 + 40) / 4579   6671 Nov 2024 Alfred Reich Dual Williams cofactor click
839 (3602609 − 1) / 359   6667 Jun 2022 Florian Piesker Generalized repunit click
840 7652306 − 2306765   6650 Jul 2023 Florian Piesker Leyland minus-form click
841 10192208 − 22081019   6643 Jul 2023 Florian Piesker Leyland minus-form click
842 313904 − 139043   6634 Jul 2023 Florian Piesker Leyland minus-form click
843 18392032 − 20321839   6634 Jul 2023 Florian Piesker Leyland minus-form click
844 3752576 − 2576375   6631 Jul 2023 Florian Piesker Leyland minus-form click
845 (963343 − 1) / 95   6625 Jun 2022 Florian Piesker Generalized repunit click
846 414088 − 408841   6594 Jul 2023 Florian Piesker Leyland minus-form click
847 7112302 − 2302711   6566 Jul 2023 Florian Piesker Leyland minus-form click
848 1043251 − 3251104   6558 Jul 2023 Florian Piesker Leyland minus-form click
849 14682067 − 20671468   6546 Jul 2023 Florian Piesker Leyland minus-form click
850 7492270 − 2270749   6526 Jul 2023 Florian Piesker Leyland minus-form click
851 9742181 − 2181974   6519 Jul 2023 Florian Piesker Leyland minus-form click
852 (106504 − 1) / 9 − 101979   6504 May 2025 Tengfei Wang Near repunit click
853 (24591907 − 1) / 2458   6463 Jun 2023 Tom Wu Generalized repunit click
854 15152026 − 20261515   6444 Jul 2023 Florian Piesker Leyland minus-form click
855 (28 • 106441 + 521) / 9   6442 Jan 2023 Florian Piesker - click
856 1482949 − 2949148   6401 Jul 2023 Florian Piesker Leyland minus-form click
857 (77577 + 1) / 25503753010544086902592043488124072824   6366 Nov 2024 Jiahao He Generalized Wagstaff cofactor click
858 (4232417 + 1) / 424   6346 Jun 2022 Florian Piesker Generalized Wagstaff click
859 See PrimePages for more informations   6338 Aug 2025 Serge Batalov Part of CHG-proof of
  Lehmer primitive part		 click
860 106333 + 15501   6334 Aug 2024 Alfred Reich - click
861 See complete expression   6333 Jul 2024 Alfred Reich Generalized repunit cofactor click
862 106332 + 9757   6333 Aug 2024 Alfred Reich - click
863 (2272687 − 1) / 226   6329 May 2023 Anonymous Generalized repunit click
864 (49 • 221007 − 1) / 2064228473   6317 Jul 2024 Alfred Reich - click
865 503699 − 369950   6285 Jul 2023 Florian Piesker Leyland minus-form click
866 (1372939 − 1) / 136   6278 Jun 2023 Tom Wu Generalized repunit click
867 (29811800 − 602981) / 173   6252 Feb 2023 Youcef Lemsafer - click
868 M(20963) / 81379832959403149463770156281732303005429401341649326070070825294890913   6240 Jul 2025 Florian Baur Mersenne cofactor click
869 2942509 − 2509294   6194 Jul 2023 Florian Piesker Leyland minus-form click
870 20 • 264366 + 473   6180 Dec 2022 Florian Piesker - click
871 3492424 − 2424349   6164 Jul 2023 Florian Piesker Leyland minus-form click
872 (123 • 220466 − 1) / 3502570762954150661   6145 Sep 2024 Anonymous - click
873 (3 • 220447 − 1) / 203923863859   6145 Sep 2024 Anonymous - click
874 (167 • 220440 − 1) / 566444958433   6144 Sep 2024 Anonymous - click
875 (242 • 284241 − 4679) / 9   6139 Jun 2022 Florian Piesker - click
876 25 • 363934 − 901   6124 Jun 2022 Florian Piesker - click
877 3892360 − 2360389   6113 Jul 2023 Florian Piesker Leyland minus-form click
878 (673347 − 1) / 66   6111 Jun 2023 Tom Wu Generalized repunit click
879 (4 • 363926 + 941) / 35   6110 Dec 2022 Florian Piesker - click
880 (743257 − 1) / 73   6087 Sep 2025 Tom Wu Generalized repunit click
881 (5152243 − 1) / 514   6080 Jun 2022 Florian Piesker Generalized repunit click
882 (16306 • 106068 − 7) / 9   6072 Jul 2022 Florian Piesker - click
883 (2842473 − 1) / 283   6065 Jun 2022 Florian Piesker Generalized repunit click
884 (6772143 − 1) / 676   6064 Sep 2025 Tom Wu Generalized repunit click
885 (2392549 − 1) / 238   6061 Sep 2025 Tom Wu Generalized repunit click
886 (1802683 − 1) / 179   6049 Sep 2025 Tom Wu Generalized repunit click
887 (1342843 − 1) / 133   6046 Sep 2024 Alfred Reich Generalized repunit click
888 106043 − 15119   6043 Aug 2024 Alfred Reich - click
889 106042 + 8167   6043 Aug 2024 Alfred Reich - click
890 (67793 − 1) / 52650742795870502208021425088290165   6030 Oct 2024 Jiahao He Generalized repunit cofactor click
891 1992622 − 2622199   6028 Jul 2023 Florian Piesker Leyland minus-form click
892 219999 + 168863243   6021 Jul 2023 Oliver Kruse Part of smallest 20000-bit prime twin click
893 219999 + 168863241   6021 Jul 2023 Oliver Kruse Part of smallest 20000-bit prime twin click
894 219999 + 3191   6021 Jul 2023 Oliver Kruse Smallest 20000-bit prime click
895 106012 + 313   6013 May 2025 Tengfei Wang - click
896 (1732687 − 1) / 172   6012 Aug 2022 Florian Piesker Generalized repunit click
897 (106008 − 1) / 9 − 10162   6008 May 2025 Tengfei Wang Near repunit click
898 (111 • 219949 − 1) / 113   6006 Nov 2024 Alfred Reich - click
899 (17551853 + 18531755) / 1132708784   6003 Feb 2023 Youcef Lemsafer Leyland plus-form cofactor click
900 (115801 + 1) / 806106541271920844262715684835860141812   6003 Nov 2024 Jiahao He Generalized Wagstaff cofactor click
901 (106009 − 845) / 124737605   6001 Feb 2023 Anonymous - click
902 See complete expression   6001 Apr 2025 Anonymous - click
903 See complete expression   6000 Apr 2025 Anonymous - click
904 (150751438 + 1) / 227255626   6000 Apr 2024 Anonymous - click
905 (77100 − 39) / 2   6000 Oct 2023 Anonymous - click
906 (130362187 + 1) / (13036729 + 1)   6000 Dec 2024 Alfred Reich - click
907 (77111 + 841) / 5610416576   6000 Feb 2024 Edwin Hall - click
908 See complete expression   6000 Oct 2024 Alfred Reich Generalized repunit cofactor click
909 See complete expression   6000 Feb 2024 Anonymous - click
910 473588 + 66   6000 Nov 2024 Alfred Reich - click
911 (77 • 219969 − 1) / 50829469734861   6000 Jun 2022 Anonymous - click
912 (61 • 106015 + 11) / 263147076898997931   6000 Dec 2022 Florian Piesker - click
913 See complete expression   6000 Feb 2024 Edwin Hall Generalized repunit cofactor click
914 See complete expression   6000 Feb 2024 Edwin Hall - click
915 (116651478 + 1) / 402365572282   6000 Nov 2024 Alfred Reich - click
916 (2082! + 78913586303) / 50631443   6000 Mar 2024 Edwin Hall - click
917 (58482 + 264241) / 51   6000 Dec 2022 Frank Doornink - click
918 (77115 + 751) / 48265657103978   6000 Feb 2024 Edwin Hall - click
919 (219938 − 7) / 669   6000 Jul 2024 Alfred Reich - click
920 (106050 − 518) / 837059097353974734781606790587421200913200733463406   6000 Feb 2024 Edwin Hall - click
921 (77119 + 450) / 156413412894410789   6000 Feb 2024 Edwin Hall - click