| Rank | Expression | Digits | When | Who | Comment | Certificate |
|---|---|---|---|---|---|---|
| 1 | R(109297) | 109297 | May 2025 | Andreas Enge; Paul Underwood | Repunit |  |
| 2 | R(86453) | 86453 | May 2023 | Andreas Enge | Repunit | |
| 3 | 5104824 + 1048245 | 73269 | Feb 2023 | Greg Childers | Leyland plus-form | |
| 4 | M(221509) / 292391881 | 66673 | Oct 2023 | Andreas Enge; Paul Underwood | Mersenne cofactor | |
| 5 | 3125330 + 1253303 | 59798 | Dec 2022 | Greg Childers | Leyland plus-form | |
| 6 | Τ(1994518) | 57125 | Sep 2022 | Andreas Enge | Ramanujan tau function | |
| 7 | 2176177 + 60947 | 53035 | Oct 2025 | Maia Karpovich | Dual Sierpinski Problem (new) | |
| 8 | M(174533) / 17794804010102394541862377900092223173807310609 | 52494 | Nov 2022 | Paul Underwood | Mersenne cofactor | |
| 9 | (94017581 − 1) / 939 | 52268 | Jan 2025 | Ryan S. Propper | Generalized repunit | |
| 10 | 1050000 + 65859 | 50001 | May 2022 | Andreas Enge | Smallest 50001-digit prime | |
| 11 | M(151013) / 61157791169561859593299975690769 | 45428 | Sep 2025 | Paul Underwood | Mersenne cofactor | |
| 12 | 2148227 + 60443 | 44621 | Dec 2024 | Maia Karpovich | Dual Sierpinski Problem | |
| 13 | (2141079 + 1) / 3 | 42469 | Oct 2025 | Paul Underwood | Wagstaff (new) | |
| 14 | Lucas(202667) | 42355 | Nov 2023 | Greg Childers | Lucas number | |
| 15 | See PrimePages for more informations | 42229 | Oct 2025 | Serge Batalov; Ryan Propper | Part of BLS-proof of Lehmer number (new) |
|
| 16 | 2139964 + 35461 | 42134 | Oct 2024 | Maia Karpovich | Dual Sierpinski Problem | |
| 17 | Fib(201107) | 42029 | Sep 2023 | Maia Karpovich | Fibonacci number | |
| 18 | − E(12146) / 1226039954339 | 41943 | Aug 2025 | Serge Batalov | Euler irregular | |
| 19 | (2138937 + 1) / 3 | 41824 | Oct 2023 | Andreas Enge; Paul Underwood | Wagstaff | |
| 20 | M(136883) / 536581361 | 41198 | Aug 2025 | Paul Underwood | Mersenne cofactor | |
| 21 | E(11848) / 7910215 | 40792 | Aug 2022 | David Broadhurst; Paul Underwood | Euler irregular | |
| 22 | Lucas(193201) | 40377 | Dec 2023 | Greg Childers | Lucas number | |
| 23 | 1040000 + 14253 | 40001 | Jun 2022 | Andreas Enge | Smallest 40001-digit prime | |
| 24 | M(130439) / 260879 | 39261 | Feb 2023 | Alan Mock | Mersenne cofactor | |
| 25 | Τ(474176) | 38404 | Jun 2022 | Andreas Enge | Ramanujan tau function | |
| 26 | Lucas(183089) | 38264 | Dec 2023 | Greg Childers | Lucas number | |
| 27 | (2127031 + 1) / 3 | 38240 | Jan 2023 | Paul Underwood | Wagstaff | |
| 28 | 378296 + 782963 | 37357 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 29 | Φ(13875,124750) / 14963669110546259757220673451001 | 36661 | Sep 2024 | Tom Wu | Part of BLS primality Proof of (12475027751 − 1) / 124749 |
|
| 30 | 6320018 + 2001863 | 36020 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 31 | 2119087 − 1190872 | 35849 | Mar 2024 | Tengfei Wang | Leyland minus-form | |
| 32 | (2117239 + 1) / 3 | 35292 | Jul 2022 | Ryan S. Propper | Wagstaff | |
| 33 | p(1000007396) | 35219 | Aug 2022 | Greg Childers | Partitions | |
| 34 | 1864754598 • Bern(12306) / 7988337402668760859 | 35160 | Jul 2025 | Serge Batalov | Irregular | |
| 35 | See complete expression | 35085 | Nov 2025 | Maia Karpovich | 3rd prime p , where tan(p) > p (new) | |
| 36 | 9 • 1034838 + 7 | 34839 | Aug 2023 | Markus Tervooren | - | |
| 37 | E(10168) / 1097239206089665 | 34323 | Oct 2023 | Frank Doornink | Euler irregular | |
| 38 | Φ(717, − 1072) | 34273 | Aug 2025 | Serge Batalov | Unique | |
| 39 | Lucas(159521) | 33338 | Nov 2023 | Greg Childers | Lucas number | |
| 40 | Φ(12345,92365) / 382141463174433542855941 | 32630 | Jun 2024 | Tom Wu | Part of BLS primality Proof of (9236524691 − 1) / 92364 |
|
| 41 | (1825667 − 1) / 17 | 32218 | Jun 2022 | Paul Underwood | Generalized repunit | |
| 42 | Φ(34051, − 10) | 32033 | Aug 2025 | Serge Batalov | Unique | |
| 43 | 2105789 + 48527 | 31846 | Oct 2023 | Maia Karpovich | Dual Sierpinski Problem | |
| 44 | Φ(23023, − 100) | 31681 | Aug 2025 | Serge Batalov | Unique | |
| 45 | M(105269) / 151888973648615898448098254186003467843831193426357780775029327271885867309638591059561 |
31603 | Sep 2024 | Serge Batalov | Mersenne cofactor | |
| 46 | Φ(4613, − 108) | 31585 | Aug 2025 | Serge Batalov | Unique | |
| 47 | Φ(10295, − 104) | 31360 | Aug 2025 | Serge Batalov | Unique | |
| 48 | 2104095 + 7013 | 31336 | Oct 2023 | Maia Karpovich | Dual Sierpinski Problem | |
| 49 | 2103766 + 17659 | 31237 | Apr 2023 | Maia Karpovich | Dual Sierpinski Problem | |
| 50 | − E(9266) / 2129452307358569777 | 30900 | May 2023 | Frank Doornink | Euler irregular | |
| 51 | Φ(11589, − 104) | 30897 | Oct 2022 | Serge Batalov | Unique | |
| 52 | Lucas(145703) / 179214691 | 30442 | Nov 2023 | Greg Childers | Lucas cofactor | |
| 53 | Lucas(145193) / 38621339 | 30336 | Nov 2023 | Greg Childers | Lucas cofactor | |
| 54 | (7116384 + 1) / 2 | 30331 | Apr 2023 | Alan Mock | Generalized half-Fermat | |
| 55 | 17013451 − 13451170 | 30002 | Mar 2024 | Tengfei Wang | Leyland minus-form | |
| 56 | Φ(36547, − 10) | 29832 | Jun 2022 | Serge Batalov | Unique | |
| 57 | 299069 + 990692 | 29823 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 58 | Φ(18756,58425) | 29744 | Sep 2025 | Tom Wu | Part of BLS primality Proof of (5842518757 − 1) / 58424 |
|
| 59 | See PrimePages for more informations | 29210 | Oct 2025 | Serge Batalov; Ryan S. Propper | Lehmer primitive part prime (new) | |
| 60 | 1029028 − 2 • 108312 − 1 | 29028 | Jul 2025 | Tengfei Wang | Near repdigit | |
| 61 | Φ(21960,102936) / 5017642938047862206894175676419044635657201 | 28830 | Jul 2024 | Tom Wu | Part of BLS primality Proof of (10293621961 − 1) / 102935 |
|
| 62 | 1922182 − 2218219 | 28366 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 63 | (1111111102 • 1028243 − 1) / 9 | 28252 | Apr 2024 | Tengfei Wang | - | |
| 64 | Φ(8553,74968) / 12199774257779118942571063 | 27762 | Sep 2025 | Tom Wu | Part of BLS primality Proof of (7496817107 − 1) / 74967 |
|
| 65 | Fib(132409) / 2882138154561602271737 | 27651 | Aug 2024 | Serge Batalov | Fibonacci cofactor | |
| 66 | 70877087 + 1616 | 27289 | Jun 2025 | Tengfei Wang | Lifchitz plus-form | |
| 67 | 9 • 1026725 + 7 | 26726 | Aug 2023 | Markus Tervooren | - | |
| 68 | See PrimePages for more informations | 26668 | Sep 2025 | Serge Batalov; Ryan Propper | Part of CHG-proof of Lehmer number |
|
| 69 | Τ(1572206) | 26643 | Jul 2022 | Greg Childers | Ramanujan tau function | |
| 70 | 288071 + 88071 | 26513 | Jun 2025 | Tengfei Wang | Dual Cullen prime | |
| 71 | M(87691) / 806957040167570408395443233 | 26371 | Nov 2022 | Serge Batalov | Mersenne cofactor | |
| 72 | 1026045 − 3 | 26045 | Jan 2024 | U.N.Owen | Near repdigit | |
| 73 | (11 • 1026000 − 17) / 3 | 26001 | Aug 2022 | Florian Piesker | - | |
| 74 | M(86371) / 41681512921035887 | 25984 | Jun 2022 | Ryan S. Propper | Mersenne cofactor | |
| 75 | − E(7894) / 19 | 25790 | May 2023 | Frank Doornink | Euler irregular | |
| 76 | Lucas(122869) / 50429766416459430193411 | 25656 | Apr 2024 | Serge Batalov | Lucas cofactor | |
| 77 | primU(183537) | 25571 | Oct 2024 | Serge Batalov | Fibonacci primitive part | |
| 78 | 2119304 − 1930421 | 25525 | Feb 2024 | Tengfei Wang | Leyland minus-form | |
| 79 | Fib(120937) / 3311205867595743073258613 | 25250 | Apr 2024 | Serge Batalov | Fibonacci cofactor | |
| 80 | 20927579 + 75792092 | 25167 | Oct 2023 | Anonymous | Leyland plus-form | |
| 81 | 51226753 + 67535122 | 25050 | May 2022 | Greg Childers | Leyland plus-form | |
| 82 | primV(194181) | 24908 | Oct 2024 | Serge Batalov | Lucas primitive part | |
| 83 | Lucas(119162) / 3 | 24903 | Oct 2024 | Serge Batalov | Lucas cofactor | |
| 84 | − E(7634) / 1559 | 24828 | May 2023 | Frank Doornink | Euler irregular | |
| 85 | primU(118319) | 24553 | Oct 2024 | Serge Batalov | Fibonacci primitive part | |
| 86 | Fib(117167) / 17658707237 | 24476 | Apr 2024 | Serge Batalov | Fibonacci cofactor | |
| 87 | Lucas(116593) / 120790349 | 24359 | Nov 2023 | Greg Childers | Lucas cofactor | |
| 88 | 280307 − 803072 | 24175 | Jan 2024 | Tengfei Wang | Leyland minus-form | |
| 89 | primV(214470) | 23895 | Oct 2024 | Serge Batalov | Lucas primitive part | |
| 90 | primU(115373) | 23875 | Oct 2024 | Serge Batalov | Fibonacci primitive part | |
| 91 | primU(135421) | 23725 | Oct 2024 | Serge Batalov | Fibonacci primitive part | |
| 92 | primV(143234) | 23654 | Oct 2024 | Serge Batalov | Lucas primitive part | |
| 93 | M(78737) / 1590296767505866614563328548192658003295567890593 | 23654 | May 2022 | Ryan S. Propper | Mersenne cofactor | |
| 94 | primU(164185) | 23524 | Oct 2024 | Serge Batalov | Fibonacci primitive part | |
| 95 | 20097104 − 71042009 | 23465 | Jun 2025 | Tengfei Wang | Leyland minus-form | |
| 96 | See complete expression | 23429 | Jun 2022 | Andreas Enge | - | |
| 97 | 20127043 − 70432012 | 23268 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 98 | primU(166737) | 23231 | Oct 2024 | Serge Batalov | Fibonacci primitive part | |
| 99 | See PrimePages for more informations | 23130 | Sep 2025 | Serge Batalov; Ryan Propper | Part of BLS-proof of Lehmer number |
|
| 100 | primA(275285) | 23012 | Mar 2024 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 101 | primV(110723) | 22997 | Oct 2024 | Serge Batalov | Lucas primitive part | |
| 102 | (1022973 + 53) / 9 | 22973 | Mar 2024 | U.N.Owen | Near repunit | |
| 103 | (34 • 1022925 − 61) / 9 | 22926 | Jul 2025 | Anonymous | - | |
| 104 | primV(180906) | 22905 | Sep 2024 | Serge Batalov | Lucas primitive part | |
| 105 | 923840 − 238409 | 22750 | Jan 2024 | Tengfei Wang | Leyland minus-form | |
| 106 | (32569 • 2615921 + 21) / 5 | 22532 | Mar 2023 | Florian Piesker | - | |
| 107 | Fib(106663) / 35892566541651557 | 22275 | Apr 2024 | Serge Batalov | Fibonacci cofactor | |
| 108 | 348054 • Bern(8286) / 1570865077944473903275073668721 | 22234 | Dec 2022 | Serge Batalov | Irregular | |
| 109 | p(398256632) | 22223 | Apr 2022 | Serge Batalov | Partitions | |
| 110 | Fib(105509) / 144118801533126010445795676378394340544227572822879081 | 21997 | Jul 2022 | Serge Batalov | Fibonacci cofactor | |
| 111 | 9911006 + 1100699 | 21964 | Sep 2024 | Oliver Kruse | Leyland plus-form | |
| 112 | 1021873 − 3 | 21873 | Aug 2022 | Markus Tervooren | Near repdigit | |
| 113 | 3314398 − 1439833 | 21864 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 114 | primB(282035) | 21758 | Oct 2023 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 115 | primA(276335) | 21736 | Mar 2024 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 116 | 1021717 + 7 | 21718 | Apr 2024 | U.N.Owen | - | |
| 117 | primV(154281) | 21495 | Nov 2023 | Greg Childers | Lucas primitive part | |
| 118 | (3131 • 271216 − 11) / 15 | 21441 | Jul 2022 | Florian Piesker | - | |
| 119 | primA(296695) | 21137 | Oct 2023 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 120 | primA(413205) | 21127 | Sep 2023 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 121 | 269999 + 35583 | 21072 | Aug 2023 | Frank Doornink | Smallest 70000-bit prime | |
| 122 | p(355646102) | 21000 | Jul 2022 | Serge Batalov | Partitions | |
| 123 | (1120161 − 1) / 10 | 20995 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 124 | 14 • 1916415 + 381 | 20992 | Jun 2022 | Florian Piesker | - | |
| 125 | Lucas(100417) / 7130429037791016075118087990532064354948544338847967474370719436805470448849 |
20911 | Apr 2024 | Serge Batalov | Lucas cofactor | |
| 126 | p(350199893) | 20838 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 127 | 1299820 + 9820129 | 20726 | Sep 2024 | Oliver Kruse | Leyland plus-form | |
| 128 | primU(102689) | 20715 | Sep 2024 | Serge Batalov | Fibonacci primitive part | |
| 129 | primU(105821) | 20598 | Sep 2022 | Serge Batalov | Fibonacci primitive part | |
| 130 | ((((((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 |
|
| 131 | (343063 − 1) / 2 | 20546 | Nov 2023 | Anonymous | Generalized repunit | |
| 132 | primU(172179) | 20540 | Sep 2022 | Serge Batalov | Fibonacci primitive part | |
| 133 | Lucas(98081) / 84490439013599359615894385176643888515853963025217237339 | 20442 | Apr 2024 | Serge Batalov | Lucas cofactor | |
| 134 | See PrimePages for more informations | 20401 | Oct 2025 | Serge Batalov; Ryan Propper | Part of CHG-proof of Lehmer number (new) |
|
| 135 | Τ(412296) | 20367 | Jun 2022 | Greg Childers | Ramanujan tau function | |
| 136 | 19986137 − 61371998 | 20256 | Feb 2024 | Tengfei Wang | Leyland minus-form | |
| 137 | (3567937 + 1) / 357 | 20249 | Jul 2022 | Florian Piesker | Generalized Wagstaff | |
| 138 | 4404139952163 • 267002 − 5 | 20183 | Jul 2024 | Serge Batalov | Part of a prime triplet | |
| 139 | primV(112028) | 20063 | May 2022 | Serge Batalov | Lucas primitive part | |
| 140 | 53705370 + 44114411 | 20030 | May 2024 | Oliver Kruse | Lifchitz plus-form | |
| 141 | 26685841 + 58412668 | 20013 | Dec 2022 | Greg Childers | Leyland plus-form | |
| 142 | (1020004 − 1) / 9 − 10228 | 20004 | May 2025 | Tengfei Wang | Near repunit | |
| 143 | 1020000 + 56149 | 20001 | Nov 2024 | U.N.Owen | Smallest 20001-digit prime | |
| 144 | p(322610098) | 20000 | Jun 2022 | Serge Batalov | Partitions | |
| 145 | 266436 + 18181 | 20000 | Jul 2022 | Florian Piesker | - | |
| 146 | 1019999 + 1514722611 | 20000 | Jun 2022 | Paul Underwood | Part of the smallest 20000-digit twin prime | |
| 147 | 1019999 + 1514722609 | 20000 | Jun 2022 | Paul Underwood | Part of the smallest 20000-digit twin prime | |
| 148 | 1019999 + 110949 | 20000 | Jun 2022 | Paul Underwood | Smallest 20000-digit prime | |
| 149 | primV(151521) | 19863 | Jun 2022 | Serge Batalov | Lucas primitive part | |
| 150 | 264773 − 647732 | 19499 | Jan 2024 | Tengfei Wang | Leyland minus-form | |
| 151 | 39585411 + 54113958 | 19466 | May 2022 | Greg Childers | Leyland plus-form | |
| 152 | M(66497) / M (2293) / 7140061530624311 | 19312 | Sep 2025 | Alex Kruppa | Mersenne cofactor (new) | |
| 153 | M(64381) / 18252318785612645711774019109285438988204922542528174996118699181907547497 | 19308 | Apr 2024 | Serge Batalov | Mersenne cofactor | |
| 154 | Lucas(91943) / 12774901180031755171852992299 | 19187 | Jul 2022 | Serge Batalov | Lucas cofactor | |
| 155 | (V(428,1,8019) − 1) / (V(428,1,729) − 1) | 19184 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 156 | Lucas(91873) / 119273493071598409455551351 | 19175 | Jul 2022 | Serge Batalov | Lucas cofactor | |
| 157 | (2 • 1019153 + 691) / 9 | 19153 | Jun 2022 | Greg Childers | - | |
| 158 | primU(137439) | 19148 | Jun 2022 | Serge Batalov | Fibonacci primitive part | |
| 159 | ⌊(π • 1019176)⌋ % (1019128) | 19128 | Feb 2023 | Oliver Kruse | String in Pi | |
| 160 | primU(107779) | 18980 | May 2022 | Serge Batalov | Fibonacci primitive part | |
| 161 | ( U(162,1,8581) + U(162,1,8580) ) / ( U(162,1,66) + U(162,1,65) ) | 18814 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 162 | See complete expression | 18718 | Jun 2022 | Andreas Enge | - | |
| 163 | (82 • 1018592 − 1) / 9 | 18593 | Aug 2023 | Markus Tervooren | Near repunit | |
| 164 | ( U(859,1,6385) − U(859,1,6384) ) / ( U(859,1,57) − U(859,1,56) ) | 18567 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 165 | (505 • 1018470 − 1) / 9 | 18472 | Jun 2022 | Florian Piesker | - | |
| 166 | primB(220895) | 18465 | Jun 2022 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 167 | 1748192 + 1218192 | 18355 | Jan 2023 | Youcef Lemsafer | - | |
| 168 | primV(153279) | 18283 | May 2022 | Serge Batalov | Lucas primitive part | |
| 169 | See complete expression | 18192 | Aug 2025 | Alex Kruppa | Mersenne cofactor of M(123435) | |
| 170 | See complete expression | 18190 | Jul 2025 | Alex Kruppa | Cyclotomic polynomial cofactor of M(242730) |
|
| 171 | (721520 + 41) / 6 | 18186 | Dec 2022 | Florian Piesker | Near repdigit in base 7 | |
| 172 | (10504 • 1018178 − 1) / 9 | 18182 | Apr 2023 | Florian Piesker | - | |
| 173 | 259999 + 26453 | 18062 | Oct 2023 | Frank Doornink | Smallest 60000-bit prime | |
| 174 | 259395 − 593952 | 17880 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 175 | primB(235015) | 17856 | May 2022 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 176 | (1737 • 525415 − 1) / 4 | 17767 | Oct 2022 | Anonymous | - | |
| 177 | 1017753 + 3 | 17754 | Mar 2024 | U.N.Owen | - | |
| 178 | (3407001 + 1) / 341 | 17721 | Jul 2022 | Florian Piesker | Generalized Wagstaff | |
| 179 | primV(148197) | 17696 | May 2022 | Serge Batalov | Lucas primitive part | |
| 180 | ((236656 + 1)2 + 3) / ((27332 + 1)2 + 3) / 151 | 17653 | Mar 2025 | Alex Kruppa | - | |
| 181 | 918494 − 184949 | 17648 | Jan 2024 | Tengfei Wang | Leyland minus-form | |
| 182 | (336913 − 1) / 2 | 17612 | Dec 2022 | Florian Piesker | Generalized repunit | |
| 183 | ( V(447,1,6723) + 1 ) / ( V(447,1,81) + 1 ) | 17604 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 184 | (79 • 739339 − 1) / 6 | 17403 | Jul 2022 | Florian Piesker | - | |
| 185 | 1017343 + 777 | 17344 | Dec 2023 | U.N.Owen | - | |
| 186 | primV(169830) | 17335 | May 2022 | Serge Batalov | Lucas primitive part | |
| 187 | 257285 + 572852 | 17245 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 188 | 720366 − 203667 | 17212 | Jan 2024 | Tengfei Wang | Leyland minus-form | |
| 189 | (257146 + 228573 + 1) / 1057378152607 | 17191 | Oct 2024 | Alex Kruppa | Cyclotomic polynomial cofactor of M(171438) |
|
| 190 | (3816659 + 1) / 382 | 17184 | Jul 2022 | Florian Piesker | Generalized Wagstaff | |
| 191 | ( V(1578,1,5589) + 1 ) / ( V(1578,1,243) + 1 ) | 17098 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 192 | M(19) • M(60287) / M(3173) / M(361) | 17091 | Sep 2024 | Alex Kruppa | Mersenne cofactor of M(60287) | |
| 193 | (176874003 − 1) / 17686 | 17000 | Mar 2024 | Edwin Hall | Generalized repunit | |
| 194 | primV(101510) | 16970 | May 2022 | Serge Batalov | Lucas primitive part | |
| 195 | (1016922 − 91) / 9 | 16922 | May 2025 | Tengfei Wang | Near repunit | |
| 196 | (17 • 1016918 + 7) / 3 | 16919 | Aug 2023 | Markus Tervooren | - | |
| 197 | (3186733 + 1) / 319 | 16847 | Jul 2022 | Florian Piesker | Generalized Wagstaff | |
| 198 | See complete expression | 16734 | Jun 2022 | Andreas Enge | - | |
| 199 | See complete expression | 16716 | Sep 2024 | Alex Kruppa | Mersenne cofactor of M(69625) | |
| 200 | (17 • 1016628 + 7) / 3 | 16629 | Aug 2023 | Markus Tervooren | - | |
| 201 | (V(1240,1,5589) − 1) / (V(1240,1,243) − 1) | 16538 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 202 | primA(201485) | 16535 | May 2022 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 203 | ( U(800,1,5725) − U(800,1,5724) ) / ( U(800,1,54) − U(800,1,53) ) | 16464 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 204 | 708853 − 885370 | 16335 | Jun 2025 | Tengfei Wang | Leyland minus-form | |
| 205 | 17484430616589 • 254201 + 5 | 16330 | Jun 2024 | Serge Batalov | Part of a CPAP-3; d = 6 | |
| 206 | 17484430616589 • 254201 − 7 | 16330 | Jun 2024 | Serge Batalov | Part of a CPAP-3; d = 6 | |
| 207 | (1427537 + 1) / 143 | 16220 | Jul 2022 | Florian Piesker | Generalized Wagstaff | |
| 208 | primB(225785) | 16176 | May 2022 | Serge Batalov | Lucas Aurifeuillian primitive part | |
| 209 | (1214951 − 1) / 11 | 16134 | Aug 2022 | Florian Piesker | Generalized repunit | |
| 210 | (11023 • 1016097 − 1) / 3 | 16101 | May 2023 | Florian Piesker | - | |
| 211 | 1016076 + 67 | 16077 | Nov 2023 | U.N.Owen | - | |
| 212 | (25453 • 1015998 − 1) / 9 | 16002 | Apr 2023 | Florian Piesker | - | |
| 213 | (4695987 − 1) / 468 | 15990 | Jul 2022 | Florian Piesker | Generalized repunit | |
| 214 | 19194818 − 48181919 | 15818 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 215 | (19 • 620238 + 2501) / 35 | 15748 | Apr 2023 | Florian Piesker | - | |
| 216 | 36574400 + 44003657 | 15678 | Oct 2023 | Anonymous | Leyland plus-form | |
| 217 | See complete expression | 15587 | Aug 2025 | Alex Kruppa | - | |
| 218 | See complete expression | 15587 | Aug 2024 | Alex Kruppa | Mersenne cofactor of M(64165) | |
| 219 | (619889 − 1) / 5 | 15476 | Aug 2022 | Florian Piesker | Generalized repunit | |
| 220 | See complete expression | 15450 | Apr 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 221 | (17 • 1015448 + 7) / 3 | 15449 | Aug 2023 | Markus Tervooren | - | |
| 222 | (718251 + 1) / 8 | 15423 | Aug 2022 | Anonymous | Generalized Wagstaff | |
| 223 | 22484537 + 45372248 | 15208 | Aug 2022 | Greg Childers | Leyland plus-form | |
| 224 | 1015103 − 63987 | 15103 | Nov 2023 | U.N.Owen | - | |
| 225 | 26384405 + 44052638 | 15071 | May 2022 | Greg Childers | Leyland plus-form | |
| 226 | 249999 + 24783 | 15052 | Jul 2023 | Maia Karpovich | Smallest 50000-bit prime | |
| 227 | 14534752 − 47521453 | 15028 | Feb 2024 | Florian Piesker | Leyland minus-form | |
| 228 | 39114180 + 41803911 | 15016 | Dec 2022 | Greg Childers | Leyland plus-form | |
| 229 | (31794291 − 42913179) / 8886701589272771624 | 15010 | Apr 2024 | Markus Tervooren | Leyland minus-form cofactor | |
| 230 | (14774734 + 47341477) / 53 | 15003 | Apr 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 231 | (210983952048 + 1) / 2 | 15000 | Mar 2024 | Edwin Hall | Generalized half-Fermat | |
| 232 | (41474147 + 2022) / 5435 | 15000 | Mar 2024 | Edwin Hall | - | |
| 233 | ( V(1212,1,4887) + 1) / ( V(1212,1,27) + 1 ) | 14986 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 234 | (1506883 + 1) / 151 | 14976 | Jun 2022 | Florian Piesker | Generalized Wagstaff | |
| 235 | 1077372 + 7372107 | 14961 | Oct 2023 | Ryan S. Propper | Leyland plus-form | |
| 236 | 17164613 + 46131716 | 14921 | Nov 2023 | Ryan S. Propper | Leyland plus-form | |
| 237 | 3455876 + 5876345 | 14913 | Nov 2023 | Ryan S. Propper | Leyland plus-form | |
| 238 | 11594866 + 48661159 | 14910 | Nov 2023 | Anonymous | Leyland plus-form | |
| 239 | 5128801 + 8015128 | 14890 | Oct 2025 | Ryan S. Propper | Leyland plus-form (new) | |
| 240 | ((231 − 1)1597 − 1) / (231 − 2) / 634021777 | 14885 | Jun 2022 | Greg Childers | - | |
| 241 | 3765755 + 5755376 | 14821 | Nov 2023 | Anonymous | Leyland plus-form | |
| 242 | 17154558 + 45581715 | 14742 | Nov 2023 | Anonymous | Leyland plus-form | |
| 243 | ( V(696,1,5211) + 1 ) / ( V(696,1,27) + 1 ) | 14737 | Jun 2022 | Serge Batalov | Lehmer primitive part | |
| 244 | 19454476 + 44761945 | 14722 | Nov 2023 | Anonymous | Leyland plus-form | |
| 245 | 3815698 + 5698381 | 14707 | Nov 2023 | Anonymous | Leyland plus-form | |
| 246 | See complete expression | 14703 | Jun 2022 | Greg Childers | - | |
| 247 | 10874840 + 48401087 | 14696 | Nov 2023 | Anonymous | Leyland plus-form | |
| 248 | 33484163 + 41633348 | 14674 | Jan 2024 | Ryan S. Propper | Leyland plus-form | |
| 249 | 16374554 + 45541637 | 14637 | Jan 2024 | Ryan S. Propper | Leyland plus-form | |
| 250 | φ(17003,10) / 215414318848365482017888228389199 | 14500 | Sep 2024 | Alfred Reich | Cyclotomic polynomial cofactor of R(17003) |
|
| 251 | 27724211 + 42112772 | 14498 | Jan 2024 | Ryan S. Propper | Leyland plus-form | |
| 252 | 40224022 + 20252025 | 14498 | Jun 2025 | Tengfei Wang | Lifchitz plus-form | |
| 253 | (117514072048 + 1) / 2 | 14480 | Nov 2024 | Alfred Reich | Generalized half-Fermat | |
| 254 | 25804241 + 42412580 | 14469 | Jan 2024 | Ryan S. Propper | Leyland plus-form | |
| 255 | 424019 − 324019 | 14461 | Oct 2025 | Ryan S. Propper | Oakes number (new) | |
| 256 | 8164949 + 4949816 | 14410 | Jan 2024 | Ryan S. Propper | Leyland plus-form | |
| 257 | p(158221457) | 14404 | Jul 2022 | Serge Batalov | Partitions | |
| 258 | 19914342 + 43421991 | 14325 | Oct 2023 | Ryan S. Propper | Leyland plus-form | |
| 259 | 19164359 + 43591916 | 14308 | Oct 2023 | Ryan S. Propper | Leyland plus-form | |
| 260 | 917300 + 730091 | 14302 | Oct 2023 | Anonymous | Leyland plus-form | |
| 261 | See complete expression | 14297 | Aug 2024 | Alex Kruppa | Mersenne cofactor of M(52193) | |
| 262 | 1113674 − 1367411 | 14241 | Jan 2024 | Tengfei Wang | Leyland plus-form | |
| 263 | See complete expression | 14035 | Aug 2024 | Alex Kruppa | Mersenne cofactor of M(93195) | |
| 264 | 38 • (1014032 + 61) / 210606316076673 | 14020 | Apr 2023 | Youcef Lemsafer | - | |
| 265 | p(158375386) | 14011 | Jul 2022 | Serge Batalov | Partitions | |
| 266 | p(158295265) | 14007 | Jul 2022 | Serge Batalov | Partitions | |
| 267 | 21544153 + 41532154 | 13843 | May 2022 | Paul Leyland | Leyland plus-form | |
| 268 | 1013808 + 32791 | 13809 | Aug 2024 | Alfred Reich | - | |
| 269 | See complete expression | 13786 | Aug 2024 | Alex Kruppa | Mersenne cofactor of M(58315) | |
| 270 | 11 • (245616 + 1) / 3 | 13733 | Jun 2022 | Florian Piesker | - | |
| 271 | (5045059 + 1) / 505 | 13669 | Jun 2022 | Florian Piesker | Generalized Wagstaff | |
| 272 | 13354364 + 43641335 | 13640 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 273 | 26073976 + 39762607 | 13583 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 274 | 4995026 + 5026499 | 13561 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 275 | 916918 + 691891 | 13553 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 276 | 17274162 + 41621727 | 13474 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 277 | 23613992 + 39922361 | 13466 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 278 | 29853874 + 38742985 | 13462 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 279 | 1036682 + 6682103 | 13450 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 280 | 10934414 + 44141093 | 13413 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 281 | (4215101 + 1) / 422 | 13384 | Jun 2022 | Florian Piesker | Generalized Wagstaff | |
| 282 | 2295670 + 5670229 | 13381 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 283 | 2245685 + 5685224 | 13362 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 284 | Lucas(64063) / 464426465381142115542697818362662865912299 | 13347 | Aug 2024 | Serge Batalov | Lucas cofactor | |
| 285 | See complete expression | 13343 | Aug 2024 | Alex Kruppa | Cyclotomic polynomial cofactor of M(180090) |
|
| 286 | p(141528106) | 13244 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 287 | p(141513546) | 13244 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 288 | p(141512238) | 13244 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 289 | 1935792 − 5792193 | 13238 | Feb 2023 | Youcef Lemsafer | Leyland minus-form | |
| 290 | p(141255053) | 13232 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 291 | M(44431) / M(283) / M(157) / 430619564833 | 13231 | Aug 2024 | Alex Kruppa | Mersenne cofactor | |
| 292 | 6694682 + 4682669 | 13229 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 293 | p(141150528) | 13227 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 294 | p(141112026) | 13225 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 295 | p(141111278) | 13225 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 296 | See complete expression | 13217 | Aug 2024 | Alex Kruppa | Cyclotomic polynomial cofactor of M(133962) |
|
| 297 | p(140859260) | 13213 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 298 | p(140807155) | 13211 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 299 | p(140791396) | 13210 | Jul 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 300 | p(140760498) | 13208 | Jun 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 301 | p(140710320) | 13206 | Jun 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 302 | See complete expression | 13202 | Sep 2024 | Alex Kruppa | Cyclotomic polynomial cofactor of M(134034) |
|
| 303 | p(140593907) | 13201 | Jun 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 304 | p(140560280) | 13199 | Jun 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 305 | p(140552343) | 13199 | Jun 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 306 | p(140535370) | 13198 | Jun 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 307 | p(140533925) | 13198 | Jun 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 308 | p(140519816) | 13197 | Jun 2022 | Charles H (Chuck) Lasher; David Broadhurst; Paul Underwood |
Partitions | |
| 309 | 25723867 + 38672572 | 13188 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 310 | 19244015 + 40151924 | 13187 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 311 | See complete expression | 13186 | Nov 2024 | Alfred Reich | - | |
| 312 | 1013172 + 22947 | 13173 | Aug 2024 | Alfred Reich | - | |
| 313 | 1013170 + 2697 | 13171 | Aug 2024 | Alfred Reich | - | |
| 314 | 1013162 + 87729 | 13163 | Aug 2024 | Alfred Reich | - | |
| 315 | 1013161 + 51729 | 13162 | Aug 2024 | Alfred Reich | - | |
| 316 | 1013160 + 11161 | 13161 | Aug 2024 | Alfred Reich | - | |
| 317 | 1013159 + 1807 | 13160 | Aug 2024 | Alfred Reich | - | |
| 318 | 29323789 + 37892932 | 13138 | Jan 2023 | Greg Childers | Leyland plus-form | |
| 319 | 34293712 + 37123429 | 13123 | Dec 2022 | Anonymous | Leyland plus-form | |
| 320 | 4614926 + 4926461 | 13122 | Dec 2022 | Anonymous | Leyland plus-form | |
| 321 | 25803841 + 38412580 | 13105 | Dec 2022 | Florian Piesker | Leyland plus-form | |
| 322 | (243502 + 221751 + 1) / 71426334276062353 | 13079 | Aug 2024 | Alex Kruppa | Cyclotomic polynomial cofactor of M(130506) |
|
| 323 | See complete expression | 13007 | Oct 2024 | Alfred Reich | Leyland minus-form cofactor | |
| 324 | 1013002 − 8 • 108 − 1 | 13002 | Dec 2023 | U.N.Owen | Near repdigit | |
| 325 | 24453836 + 38362445 | 12998 | Dec 2022 | Greg Childers | Leyland plus-form | |
| 326 | 21093908 + 39082109 | 12991 | Dec 2022 | Greg Childers | Leyland plus-form | |
| 327 | 17783993 + 39931778 | 12977 | Aug 2022 | Greg Childers | Leyland plus-form | |
| 328 | See complete expression | 12947 | Aug 2024 | Alex Kruppa | Mersenne cofactor of M(67235) | |
| 329 | 21073894 + 38942107 | 12943 | Aug 2022 | Greg Childers | Leyland plus-form | |
| 330 | (50233491 − 1) / 35068626 | 12913 | Mar 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 331 | 14674076 + 40761467 | 12907 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 332 | See complete expression | 12901 | Jan 2023 | Youcef Lemsafer | - | |
| 333 | 10274278 + 42781027 | 12884 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 334 | 1595852 + 5852159 | 12883 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 335 | (242737 + 1) / 3 | 12865 | May 2022 | Greg Childers | Wagstaff | |
| 336 | See complete expression | 12814 | Aug 2024 | Alex Kruppa | Mersenne cofactor of M(48127) | |
| 337 | 20953858 + 38582095 | 12814 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 338 | (367 • 715118 − 1) / 6 | 12778 | Jun 2022 | Florian Piesker | Near redigit in base 7 | |
| 339 | (326633 + 1) / 4 | 12707 | Aug 2022 | Florian Piesker | Generalized Wagstaff | |
| 340 | 242210 + 91549 | 12707 | Mar 2023 | Anonymous | - | |
| 341 | (77 • 1012720 − 41) / 80794157024576083501251 | 12699 | Mar 2023 | Youcef Lemsafer | - | |
| 342 | (3499 • 1012689 − 1) / 3 | 12693 | Apr 2023 | Florian Piesker | - | |
| 343 | 16893926 + 39261689 | 12672 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 344 | 24823729 + 37292482 | 12660 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 345 | (4994691 − 1) / 498 | 12655 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 346 | 2575248 + 5248257 | 12648 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 347 | M(53977) / M(701) / M(7711) / M(4907) / M(77) • 259969 | 12644 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(53977) | |
| 348 | 13784023 + 40231378 | 12630 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 349 | (26383687 + 36872638) / 530650435937411 | 12600 | Mar 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 350 | (2055449 + 1) / 206 | 12595 | Jun 2022 | Florian Piesker | Generalized Wagstaff | |
| 351 | (2305333 − 1) / 229 | 12593 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 352 | R(12611) / 151596145122775505868566782271 | 12581 | Sep 2024 | Alfred Reich | Repunit cofactor | |
| 353 | See complete expression | 12558 | Jan 2023 | Youcef Lemsafer | - | |
| 354 | (239509 − 1) / (23257 − 1) / 11002902177363902238826201639790642566112031151441 | 12550 | Mar 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 355 | (241614 + 220807 + 1) / 231896371365555042937 | 12507 | Jul 2024 | Alex Kruppa | - | |
| 356 | (8 • 1012527 − 11) / 66426466217992706366987547351 | 12500 | Feb 2023 | Youcef Lemsafer | - | |
| 357 | 26133650 + 36502613 | 12473 | Jul 2022 | Greg Childers | Leyland plus-form | |
| 358 | 35123512 + 33 | 12452 | May 2025 | Tengfei Wang | Lifchitz plus-form | |
| 359 | 10504096 + 10134096 | 12375 | Jan 2023 | Youcef Lemsafer | - | |
| 360 | 30523543 + 35433052 | 12346 | May 2022 | Greg Childers | Leyland plus-form | |
| 361 | 23893646 + 36462389 | 12317 | May 2022 | Greg Childers | Leyland plus-form | |
| 362 | 25773602 + 36022577 | 12287 | May 2022 | Greg Childers | Leyland plus-form | |
| 363 | 31723507 + 35073172 | 12280 | May 2022 | Greg Childers | Leyland plus-form | |
| 364 | 13253924 + 39241325 | 12252 | May 2022 | Greg Childers | Leyland plus-form | |
| 365 | (1211353 +1) / 13 | 12251 | Aug 2022 | Florian Piesker | Generalized Wagstaff | |
| 366 | (23671 • 1012192 − 1) / 9 | 12196 | Apr 2022 | Florian Piesker | - | |
| 367 | M(55495) / M(11099) / M(5045) • M(1009) / 567767102431 | 12138 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(55495) | |
| 368 | 5354444 + 4444535 | 12125 | May 2022 | Greg Childers | Leyland plus-form | |
| 369 | 239999 + 18065 | 12041 | Jul 2023 | Oliver Kruse | Smallest 40000-bit prime | |
| 370 | 239999 + 1411862541 | 12041 | Oct 2023 | Frank Doornink | Part of smallest 40000-bit prime twin | |
| 371 | 239999 + 1411862543 | 12041 | Oct 2023 | Frank Doornink | Part of smallest 40000-bit prime twin | |
| 372 | (714221 − 1) / 6 | 12018 | Aug 2022 | Florian Piesker | Generalized repunit | |
| 373 | 1012000 − 11319 | 12000 | Dec 2023 | U.N.Owen | - | |
| 374 | 397542 − 98 | 12000 | Mar 2024 | Edwin Hall | - | |
| 375 | (2235110 − 405) / 4 | 12000 | Mar 2024 | Edwin Hall | - | |
| 376 | 417440 + 952 | 12000 | Mar 2024 | Edwin Hall | - | |
| 377 | 1011999 + 76621 | 12000 | Oct 2023 | U.N.Owen | - | |
| 378 | 1011999 + 72577 | 12000 | Jan 2023 | Frank Doornink | - | |
| 379 | 1011999 + 12757 | 12000 | Jan 2024 | U.N.Owen | - | |
| 380 | M(42991) / M(3307) / M(13) | 11943 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(42991) | |
| 381 | 30703423 + 34233070 | 11937 | May 2022 | Greg Childers | Leyland plus-form | |
| 382 | 976006 − 600697 | 11933 | Apr 2025 | Tengfei Wang | Leyland minus-form | |
| 383 | (886 • 199291 − 1) / 3 | 11884 | Jun 2022 | Florian Piesker | - | |
| 384 | 1310633 − 50 | 11845 | Jun 2022 | Florian Piesker | - | |
| 385 | 298096 + 10 | 11840 | Jul 2022 | Florian Piesker | - | |
| 386 | (313 • 324761 − 1) / 2 | 11817 | Jul 2022 | Florian Piesker | - | |
| 387 | (4589 • 516892 − 1) / 4 | 11811 | Dec 2022 | Anonymous | - | |
| 388 | 3 • 1011799 − 37 | 11800 | Mar 2023 | Youcef Lemsafer | - | |
| 389 | (22683515 + 35152268) / 787343 | 11790 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 390 | M(58389) / M(19463) / 501545671318332018168553 | 11695 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(58389) | |
| 391 | 14073712 + 37121407 | 11687 | May 2022 | Greg Childers | Leyland plus-form | |
| 392 | 25603423 + 34232560 | 11667 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 393 | 22483469 + 34692248 | 11628 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 394 | (29153354 + 33542915) / 16793707319901665479 | 11602 | Apr 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 395 | 26693378 + 33782669 | 11575 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 396 | (516519 − 1) / 4 | 11546 | Aug 2022 | Florian Piesker | Generalized repunit | |
| 397 | See complete expression | 11522 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(62439) | |
| 398 | 21973442 + 34422197 | 11503 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 399 | 1975000 − 5000197 | 11473 | Sep 2024 | Oliver Kruse | Leyland minus-form | |
| 400 | (22213422 − 34222221) / 11 | 11451 | Dec 2023 | U.N.Owen | Leyland minus-form cofactor | |
| 401 | See complete expression | 11377 | Sep 2025 | Serge Batalov | - | |
| 402 | (201 • 1415279 − 1) / 20 | 11347 | Jun 2022 | Florian Piesker | - | |
| 403 | (4327 • 1011330 − 7) / 9 | 11333 | Jun 2022 | Florian Piesker | - | |
| 404 | (1110867 − 1) / 10 | 11316 | Aug 2022 | Florian Piesker | Generalized repunit | |
| 405 | 15163557 + 35571516 | 11314 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 406 | 1137 • 367259 + 19 | 11301 | Apr 2023 | Florian Piesker | - | |
| 407 | 4964189 + 4189496 | 11292 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 408 | 9223805 + 3805922 | 11281 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 409 | 4724217 + 4217472 | 11277 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 410 | 13249 • 248131 − 49 | 11227 | Jun 2022 | Florian Piesker | - | |
| 411 | 7653892 + 3892765 | 11224 | Jun 2022 | Paul Leyland | Leyland plus-form | |
| 412 | 19663395 + 33951966 | 11182 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 413 | See complete expression | 11155 | Jul 2024 | Alex Kruppa | - | |
| 414 | (19 • 1011149 + 611) / 9 | 11150 | Jul 2024 | Alfred Reich | - | |
| 415 | M(47435) • M(179) • M(53) • M(5) / M(9487) / M895) / M(265) | 11146 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(47435) | |
| 416 | 31823182 + 33 | 11146 | May 2025 | Tengfei Wang | Lifchitz plus-form | |
| 417 | 29423213 + 32132942 | 11145 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 418 | (3134451 + 1) / 314 | 11106 | Jun 2022 | Florian Piesker | Generalized Wagstaff | |
| 419 | 179021 + 25 | 11100 | Jun 2022 | Florian Piesker | - | |
| 420 | See complete expression | 11064 | Aug 2025 | Serge Batalov | - | |
| 421 | (5034093 − 1) / 502 | 11055 | May 2023 | Tom Wu | Generalized repunit | |
| 422 | (17 • 1011046 + 7) / 3 | 11047 | Aug 2023 | Markus Tervooren | - | |
| 423 | 24823243 + 32432482 | 11010 | May 2022 | Greg Childers | Leyland plus-form | |
| 424 | 1011000 + 11973 | 11001 | Jul 2024 | Alfred Reich | - | |
| 425 | 1010999 + 24439 | 11000 | Nov 2023 | U.N.Owen | - | |
| 426 | (133 • 1005496 − 1) / 33 | 10993 | Jun 2022 | Florian Piesker | - | |
| 427 | 12623543 + 35431262 | 10988 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 428 | 27813188 + 31882781 | 10981 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 429 | 30893142 + 31423089 | 10966 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 430 | 13303509 + 35091330 | 10962 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 431 | 995488 + 548899 | 10953 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 432 | 17663369 + 33691766 | 10940 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 433 | (4794079 + 1) / 480 | 10931 | Jun 2022 | Florian Piesker | Generalized Wagstaff | |
| 434 | 5393996 + 3996539 | 10916 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 435 | (64 • 1010906 + 53) / 9 | 10907 | May 2022 | Greg Childers | Palindrome | |
| 436 | 30703121 + 31213070 | 10884 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 437 | 12713502 + 35021271 | 10871 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 438 | (237651 + 1) / (21637 + 1) / 2796203 | 10835 | Jul 2024 | Alex Kruppa | Wagstaff cofactor | |
| 439 | 347035 + 703534 | 10774 | May 2022 | Greg Childers | Leyland plus-form | |
| 440 | 5793896 + 3896579 | 10764 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 441 | 21183217 + 32172118 | 10700 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 442 | 2984309 + 4309298 | 10662 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 443 | 11733470 + 34701173 | 10651 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 444 | 17553268 + 32681755 | 10603 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 445 | (19 • 1010613 − 73) / 20376889065137331 | 10598 | Jul 2024 | Alfred Reich | - | |
| 446 | 1010584 + 26191 | 10585 | Aug 2024 | Alfred Reich | - | |
| 447 | (19 • 1010554 + 341) / 9 | 10555 | Jul 2024 | Alfred Reich | - | |
| 448 | 146462479 • 235001 + 8765 | 10545 | Oct 2025 | Paul Underwood | Part of a CPAP-3; d = 8766 (new) | |
| 449 | 21193160 + 31602119 | 10511 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 450 | (129739 − 1) / 11 | 10510 | Jul 2022 | Florian Piesker | Generalized repunit | |
| 451 | 24473100 + 31002447 | 10505 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 452 | (34 • 1010499 − 61) / 9 | 10500 | Dec 2022 | Jason Parker-Burlingham | - | |
| 453 | 1010470 + 3 | 10471 | Aug 2022 | Florian Piesker | - | |
| 454 | 12093392 + 33921209 | 10456 | May 2022 | Greg Childers | Leyland plus-form | |
| 455 | 26613052 − 30522661 | 10454 | Jun 2025 | Tengfei Wang | Leyland minus-form | |
| 456 | 29183013 − 30132918 | 10441 | Jun 2025 | Tengfei Wang | Leyland minus-form | |
| 457 | 16783225 + 32251678 | 10400 | May 2022 | Greg Childers | Leyland plus-form | |
| 458 | 17723201 + 32011772 | 10399 | May 2022 | Greg Childers | Leyland plus-form | |
| 459 | (82 • 1010394 + 71) / 9 | 10395 | Nov 2023 | Richard G. | Palindrome | |
| 460 | 19663155 + 31551966 | 10392 | May 2022 | Anonymous | Leyland plus-form | |
| 461 | (2 • 1010391 + 61) / 9 | 10391 | Jan 2023 | Florian Baur | Near repdigit | |
| 462 | (419 • 712274 − 5) / 6 | 10375 | Sep 2022 | Florian Piesker | - | |
| 463 | 1010371 + 24679 | 10372 | Aug 2024 | Alfred Reich | - | |
| 464 | 1010370 + 7891 | 10371 | Aug 2024 | Alfred Reich | - | |
| 465 | 1010369 + 20863 | 10370 | Aug 2024 | Alfred Reich | - | |
| 466 | 27693008 − 30082769 | 10355 | Jun 2025 | Tengfei Wang | Leyland minus-form | |
| 467 | 17483193 − 31931748 | 10354 | Feb 2024 | Tengfei Wang | Leyland minus-form | |
| 468 | See complete expression | 10350 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(47575) | |
| 469 | 24483053 − 30532448 | 10347 | Jun 2025 | Tengfei Wang | Leyland minus-form | |
| 470 | 6 • Bern(4306) / 2153 | 10342 | Jun 2022 | Greg Childers | Irregular | |
| 471 | 29172982 − 29822917 | 10333 | Jun 2025 | Tengfei Wang | Leyland minus-form | |
| 472 | 8513522 + 3522851 | 10320 | May 2022 | Paul Leyland | Leyland plus-form | |
| 473 | See complete expression | 10317 | Nov 2025 | Anonymous | Repunit cofactor of R(40404) (new) | |
| 474 | 2124431 − 4431212 | 10308 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 475 | See complete expression | 10305 | May 2024 | Richard G. | - | |
| 476 | See complete expression | 10300 | Sep 2024 | Alex Kruppa | Cyclotomic polynomial cofactor of M(119994) |
|
| 477 | 19513128 − 31281951 | 10292 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 478 | (4341 • 514720 − 1) / 4 | 10292 | Oct 2022 | Anonymous | - | |
| 479 | (158741 − 1) / 14 | 10280 | Jul 2022 | Florian Piesker | Generalized repunit | |
| 480 | 613206 + 217 | 10277 | Feb 2024 | Florian Piesker | - | |
| 481 | 59056921173 • 234030 + 7 | 10255 | Jun 2022 | Greg Childers | Part of sexy prime pair | |
| 482 | 6973594 + 3594697 | 10219 | May 2022 | Greg Childers | Leyland plus-form | |
| 483 | 10613372 − 33721061 | 10203 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 484 | (191 • 1055045 + 1) / 8 | 10199 | Jun 2022 | Florian Piesker | - | |
| 485 | 8123505 − 3505812 | 10198 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 486 | See complete expression | 10195 | Jul 2024 | Alex Kruppa | Cyclotomic polynomial cofactor of M(103206) |
|
| 487 | 22313042 + 30422231 | 10187 | May 2022 | Oliver Kruse | Leyland plus-form | |
| 488 | 24293000 − 30002429 | 10157 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 489 | 15433178 + 31781543 | 10133 | May 2022 | Paul Leyland | Leyland plus-form | |
| 490 | M(42145) / M(8429) / 13604811874892518060205885792305751 | 10116 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(42145) | |
| 491 | 11413308 − 33081141 | 10114 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 492 | 12343265 + 32651234 | 10094 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 493 | Φ(23912,10) | 10081 | Jun 2022 | David Broadhurst | Cyclotomic polynomial cofactor of R(23912) |
|
| 494 | (29092910 − 29102909) / 41 | 10078 | Jan 2023 | Youcef Lemsafer | Leyland minus-form cofactor | |
| 495 | 27392930 + 29302739 | 10073 | Jun 2022 | Greg Childers | Leyland plus-form | |
| 496 | 29072907 + 18981898 | 10069 | Dec 2025 | Oliver Kruse | Lifchitz plus-form (new) | |
| 497 | See complete expression | 10068 | Jul 2024 | Alex Kruppa | Cyclotomic polynomial cofactor of M(117222) |
|
| 498 | 2072644824759 • 233333 + 5 | 10047 | Jun 2022 | Greg Childers | Part of first known gigantic prime triplet re-certified via CM |
|
| 499 | 6483571 + 3571648 | 10041 | May 2022 | Greg Childers | Leyland plus-form | |
| 500 | 19813042 − 30421981 | 10030 | May 2023 | Anonymous | Leyland minus-form | |
| 501 | 1010020 + 16657 | 10021 | Aug 2024 | Alfred Reich | - | |
| 502 | 1010020 − 237 | 10020 | Aug 2024 | Alfred Reich | - | |
| 503 | 28942894 + 20532053 | 10018 | May 2024 | Oliver Kruse | Leyland plus-form | |
| 504 | See complete expression | 10014 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(42679) | |
| 505 | 515857 − 505857 | 10002 | Apr 2025 | Anonymous | Oakes number | |
| 506 | 1010001 + 28331593 | 10002 | May 2024 | Anonymous | - | |
| 507 | (52 • 1010000 + 11) / 9 | 10001 | Mar 2023 | Youcef Lemsafer | - | |
| 508 | 12843217 − 12833217 | 10001 | Apr 2025 | Anonymous | Oakes number | |
| 509 | 1010000 + 1017363 | 10001 | Aug 2024 | Alfred Reich | - | |
| 510 | 1010000 + 165031 | 10001 | Aug 2024 | Alfred Reich | - | |
| 511 | 1010000 + 65277 | 10001 | Oct 2023 | U.N.Owen | - | |
| 512 | 1010000 + 28579 | 10001 | Oct 2023 | U.N.Owen | - | |
| 513 | 1010000 − 22403 | 10000 | Aug 2024 | Alfred Reich | - | |
| 514 | 1010000 − 47717 | 10000 | Aug 2024 | Alfred Reich | - | |
| 515 | 1010000 − 322497 | 10000 | Sep 2024 | Alfred Reich | - | |
| 516 | 894297 • 109994 + 711826 | 10000 | Aug 2024 | Alfred Reich | - | |
| 517 | 233219 − 52545 | 10000 | Jul 2024 | Alfred Reich | - | |
| 518 | 631101 • 109994 + 711826 | 10000 | Aug 2024 | Alfred Reich | - | |
| 519 | Fib(47850) + 20841 | 10000 | Dec 2023 | Tengfei Wang | - | |
| 520 | (237371 + 397) / 41745703454270394607773342228304835316 | 10000 | Jul 2024 | Alfred Reich | - | |
| 521 | (237344 + 231) / 8 | 10000 | Jul 2022 | Florian Piesker | - | |
| 522 | 299667 • 109994 + 711826 | 10000 | Aug 2024 | Alfred Reich | - | |
| 523 | 240708 • 109994 + 711826 | 10000 | Aug 2024 | Alfred Reich | - | |
| 524 | 233217 + 111 | 10000 | May 2022 | Anonymous | - | |
| 525 | 233217 − 721155 | 10000 | Mar 2024 | Edwin Hall | - | |
| 526 | See complete expression | 10000 | Aug 2024 | Alfred Reich | - | |
| 527 | See complete expression | 10000 | Aug 2024 | Alfred Reich | Leyland plus-form cofactor | |
| 528 | Fib(47847) + 26679 | 10000 | Jul 2024 | Alfred Reich | - | |
| 529 | (1010000 − 1) / 9 + 7 • 10885 | 10000 | Aug 2024 | Alfred Reich | Near repunit | |
| 530 | 233216 + 281577 | 10000 | Mar 2023 | Youcef Lemsafer | - | |
| 531 | ((11476 • 1035 + 4113)256 + 1) / 2 | 10000 | Aug 2024 | Alfred Reich | Generalized half-Fermat | |
| 532 | (33875430588693094381512 + 1) / 2 | 10000 | Aug 2024 | Alfred Reich | Generalized half-Fermat | |
| 533 | (33875430588693055871512 + 1) / 2 | 10000 | Aug 2024 | Alfred Reich | Generalized half-Fermat | |
| 534 | 1309747264300589758110032419673347620959731068338635399869049806286716959555931128 + 2 | 10000 | Aug 2024 | Alfred Reich | - | |
| 535 | 10 • (104999 + 520488)2 + 7 | 10000 | Aug 2024 | Alfred Reich | - | |
| 536 | 10 • (104999 + 517910)2 + 7 | 10000 | Aug 2024 | Alfred Reich | - | |
| 537 | 10 • (104999 + 86414)2 + 7 | 10000 | Aug 2024 | Alfred Reich | - | |
| 538 | 109999 + 21870245691511147257 | 10000 | Jul 2024 | Alfred Reich | - | |
| 539 | 109999 + 7066834558999 | 10000 | Aug 2024 | Alfred Reich | - | |
| 540 | 109999 + 274366375363 | 10000 | Jun 2023 | Oliver Kruse | Part of the smallest gigantic triplet to pattern d = 0, 2, 6 |
|
| 541 | 109999 + 274366375359 | 10000 | Jun 2023 | Oliver Kruse | Part of the smallest gigantic triplet to pattern d = 0, 2, 6 |
|
| 542 | 109999 + 274366375357 | 10000 | Jun 2023 | Oliver Kruse | Part of the smallest gigantic triplet to pattern d = 0, 2, 6 |
|
| 543 | 109999 + 194011932123 | 10000 | Jun 2023 | Oliver Kruse | Part of the smallest gigantic triplet to pattern d = 0, 4, 6 |
|
| 544 | 109999 + 194011932121 | 10000 | Jun 2023 | Oliver Kruse | Part of the smallest gigantic triplet to pattern d = 0, 4, 6 |
|
| 545 | 109999 + 194011932117 | 10000 | Jun 2023 | Oliver Kruse | Part of the smallest gigantic triplet to pattern d = 0, 4, 6 |
|
| 546 | 109999 + 11147257 | 10000 | May 2022 | Anonymous | - | |
| 547 | 109999 + 780199 | 10000 | Jul 2024 | Alfred Reich | - | |
| 548 | 109999 + 78571 | 10000 | Nov 2024 | Alfred Reich | - | |
| 549 | 109999 + 70999 | 10000 | Oct 2023 | U.N.Owen | - | |
| 550 | (109999 + 1253) / 3 | 9999 | Jul 2024 | Alfred Reich | - | |
| 551 | 22522981 − 29812252 | 9995 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 552 | (52 • 109998 − 43) / 4035281193 | 9991 | Mar 2023 | Youcef Lemsafer | - | |
| 553 | (997 • 320847 − 1) / 2 | 9950 | Jul 2022 | Florian Piesker | - | |
| 554 | (3 • 1074900 − 1) / 2 | 9945 | Jun 2023 | Florian Piesker | - | |
| 555 | 7383467 − 3467738 | 9944 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 556 | See complete expression | 9935 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(40411) | |
| 557 | (82 • 109931 + 53) / 9 | 9932 | Mar 2023 | Youcef Lemsafer | - | |
| 558 | 14583139 − 31391458 | 9932 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 559 | (4 • 109919 + 9) / 7 | 9919 | Mar 2023 | Youcef Lemsafer | - | |
| 560 | (109918 − 1) / 9 − 109568 | 9918 | Dec 2022 | Youcef Lemsafer | Near repunit | |
| 561 | 27192882 − 28822719 | 9898 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 562 | 11283241 − 32411128 | 9893 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 563 | (27 • 915048 − 1) / 2 | 9891 | Jun 2022 | Florian Piesker | - | |
| 564 | 27112880 − 28802711 | 9888 | Jun 2023 | Florian Piesker | Leyland minus-form | |
| 565 | 232767 + 34769 | 9864 | Oct 2023 | Maia Karpovich | - | |
| 566 | 17413042 − 30421741 | 9859 | Jan 2024 | Tengfei Wang | Leyland minus-form | |
| 567 | (19 • 109862 + 89) / 8814321 | 9857 | Jul 2024 | Alfred Reich | - | |
| 568 | (86 • 109860 + 13) / 1669254641109 | 9850 | Mar 2023 | Youcef Lemsafer | - | |
| 569 | 4033780 − 3780403 | 9849 | Feb 2024 | Tengfei Wang | Leyland minus-form | |
| 570 | 232672 − 384539 | 9836 | Mar 2023 | Maia Karpovich | - | |
| 571 | See complete expression | 9800 | Apr 2023 | Youcef Lemsafer | Generalized Wagstaff cofactor | |
| 572 | See complete expression | 9750 | Apr 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 573 | See complete expression | 9744 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(60765) | |
| 574 | (839 • 910171 − 7) / 8 | 9708 | Sep 2022 | Florian Piesker | - | |
| 575 | (14 • 109698 + 1) / 3 | 9699 | Mar 2023 | Youcef Lemsafer | - | |
| 576 | (513873 − 1) / 4 | 9697 | Jul 2022 | Florian Piesker | Generalized repunit | |
| 577 | (934903 − 1) / 92 | 9650 | Jul 2022 | Florian Piesker | Generalized repunit | |
| 578 | 528 • 366178 + 31 | 9618 | Dec 2022 | Florian Piesker | - | |
| 579 | (77 • 109614 + 31) / 23536898034822153 | 9600 | Feb 2023 | Youcef Lemsafer | - | |
| 580 | (14 • 109580 + 1) / 3 | 9581 | Apr 2023 | Youcef Lemsafer | - | |
| 581 | M(33373) / M(1451) / 19878816283502926167695890057664423 | 9576 | Jul 2024 | Alex Kruppa | Mersenne cofactor | |
| 582 | ((215820 − 1)2 + 3) / 228 | 9523 | Jul 2024 | Alex Kruppa | - | |
| 583 | See complete expression | 9502 | Jul 2024 | Alex Kruppa | Mersenne cofactor of M(42835) | |
| 584 | (109500 − 1) / 9 − 105303 | 9500 | Mar 2023 | Youcef Lemsafer | Near repunit | |
| 585 | (1994096 + 374096) / 131074 | 9411 | Jan 2023 | Youcef Lemsafer | - | |
| 586 | (15049 • 109403 − 1) / 9 | 9407 | Apr 2023 | Florian Piesker | - | |
| 587 | (2 • 109401 + 61) / 9 | 9401 | Jan 2023 | Florian Baur | Near repdigit | |
| 588 | (64 • 109400 + 71) / 711 | 9399 | Mar 2023 | Youcef Lemsafer | - | |
| 589 | (1974096 + 1894096) / 2 | 9398 | Jan 2023 | Youcef Lemsafer | - | |
| 590 | 109377 + 4551 | 9378 | Aug 2024 | Alfred Reich | - | |
| 591 | Φ(15717,10) / 19371189787956960101904837526140849990432949485984853 | 9308 | Jul 2025 | Anonymous | Repunit cofactor of R(15717) | |
| 592 | (41 • 109300 − 23) / 9 | 9301 | Feb 2023 | Youcef Lemsafer | - | |
| 593 | (513241 − 1) / 4 | 9255 | Jul 2022 | Florian Piesker | Generalized repunit | |
| 594 | Φ(13917,10) / ​1403524851659109979105248773826147953493807800675107 | 9225 | Sep 2024 | Alfred Reich | Cyclotomic polynomial cofactor of R(13917) |
|
| 595 | See complete expression | 9169 | Jun 2024 | Alex Kruppa | Mersenne cofactor of M(47337) | |
| 596 | M(38105) / M(7621) / 85163760511 | 9166 | Jun 2024 | Alex Kruppa | Mersenne cofactor | |
| 597 | See complete expression | 9142 | Jun 2024 | Alex Kruppa | Mersenne cofactor of M(56955) | |
| 598 | 1281979 • 109078 + 9791821 | 9085 | Sep 2022 | Anonymous | - | |
| 599 | (1614096 + 1574096) / 2 | 9039 | Jan 2023 | Youcef Lemsafer | - | |
| 600 | Φ(45340 [C+D] ,10) / ​436539564528651438637853247761 | 9034 | Sep 2024 | Alfred Reich | Cyclotomic polynomial cofactor of R(45340) |
|
| 601 | 229999 + 322389431 | 9031 | Oct 2023 | Frank Doornink | Part of smallest 30000-bit prime twin | |
| 602 | 229999 + 322389429 | 9031 | Oct 2023 | Frank Doornink | Part of smallest 30000-bit prime twin | |
| 603 | 229999 + 28911 | 9031 | Jul 2023 | Oliver Kruse | Smallest 30000-bit prime | |
| 604 | (2971 • 512899 − 1) / 2 | 9020 | Sep 2022 | Florian Piesker | - | |
| 605 | (109022 − 28) / 459131477292 | 9011 | Mar 2024 | Youcef Lemsafer | - | |
| 606 | (16452802 + 28021645) / 54521153 | 9004 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 607 | (86112681 − 1) / (8611383 − 1) / 10756307476841112466091538968116681045957633 | 9000 | Mar 2024 | Edwin Hall | Generalized repunit cofactor | |
| 608 | 3761 • (37602627 + 1) / (376071 + 1) / (376037 + 1) / 11925450391 | 9000 | Mar 2024 | Edwin Hall | Generalized Wagstaff cofactor | |
| 609 | See complete expression | 9000 | Mar 2024 | Edwin Hall | - | |
| 610 | (22092693 + 26932209) / 5355882 | 9000 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 611 | (109001 − 869) / 89 | 9000 | Mar 2024 | Edwin Hall | - | |
| 612 | (109000 − 1) / 9 − 103826 | 9000 | Nov 2023 | U.N.Owen | Near repunit | |
| 613 | 16 • 365779 − 1163 | 8996 | Dec 2022 | Florian Piesker | - | |
| 614 | (1574096 + 1114096) / 2 | 8995 | Jan 2023 | Youcef Lemsafer | - | |
| 615 | (1574096 + 834096) / 2 | 8995 | Jan 2023 | Youcef Lemsafer | - | |
| 616 | (48058 • 89949 − 3) / 7 | 8989 | Oct 2022 | Florian Piesker | - | |
| 617 | 1554096 + 664096 | 8972 | Jan 2023 | Youcef Lemsafer | - | |
| 618 | 108960 − 19389 | 8960 | Aug 2024 | Alfred Reich | - | |
| 619 | 1534096 + 404096 | 8949 | Jan 2023 | Youcef Lemsafer | - | |
| 620 | (884586 + 458688) / 288 / 1985 | 8888 | Jul 2024 | Alfred Reich | Leyland plus-form cofactor | |
| 621 | 108802 − 20577 | 8802 | Aug 2024 | Alfred Reich | - | |
| 622 | (123482153 − 1) / 6698951279 | 8800 | Apr 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 623 | 25692569 + 22 | 8760 | May 2025 | Tengfei Wang | Lifchitz plus-form | |
| 624 | 1374096 + 104096 | 8753 | Jan 2023 | Youcef Lemsafer | - | |
| 625 | 108744 − 27857 | 8744 | Aug 2024 | Alfred Reich | - | |
| 626 | (31 • 177092 − 15) / 16 | 8727 | Jun 2022 | Florian Piesker | - | |
| 627 | (65 • 108709 + 43) / 16087990743 | 8701 | Feb 2023 | Youcef Lemsafer | - | |
| 628 | 724673 − 467372 | 8680 | Mar 2023 | Youcef Lemsafer | Leyland minus-form | |
| 629 | See PrimePages for more informations | 8678 | Aug 2025 | Serge Batalov | Lehmer primitive part | |
| 630 | (7 • 108653 − 61) / 7551 | 8650 | Feb 2023 | Youcef Lemsafer | - | |
| 631 | (86 • 108621 − 41) / 58239 | 8619 | Feb 2023 | Youcef Lemsafer | - | |
| 632 | (1274096 + 904096) / 163841 | 8612 | Feb 2023 | Youcef Lemsafer | - | |
| 633 | 18641 • (186402359 + 1) / (18640337 + 1) / 163857991005752979174572330844369578279 | 8601 | Mar 2023 | Youcef Lemsafer | Generalized Wagstaff cofactor | |
| 634 | (8472941 + 2941847) / 527481769684 | 8600 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 635 | (108600 − 1) / 9 − 104293 | 8600 | Mar 2023 | Youcef Lemsafer | Near repunit | |
| 636 | 1034272 − 4272103 | 8599 | Feb 2023 | Youcef Lemsafer | Leyland minus-form | |
| 637 | (6413070 + 3070641) / 33971826983411341967 | 8598 | Mar 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 638 | (9901 • 108589 − 1) / 9 | 8593 | Jul 2022 | Florian Piesker | - | |
| 639 | (1394012 + 4012139) / 100314287268997379755577 | 8575 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 640 | (108579 − 3) / 39671 | 8575 | Feb 2023 | Youcef Lemsafer | - | |
| 641 | (82 • 108570 − 1) / 9 | 8571 | Aug 2023 | Anonymous | Near repunit | |
| 642 | (14 • 108570 + 1) / 687 | 8569 | Feb 2023 | Youcef Lemsafer | - | |
| 643 | (1111111102 • 108557 − 1) / 9 | 8566 | Mar 2024 | Tengfei Wang | - | |
| 644 | (1234096 + 1154096) / 2506754 | 8554 | Jan 2023 | Youcef Lemsafer | - | |
| 645 | (68 • 108555 + 31) / 134379 | 8552 | Feb 2023 | Youcef Lemsafer | - | |
| 646 | 1224096 + 694096 | 8546 | Jan 2023 | Youcef Lemsafer | - | |
| 647 | (28 • 108537 − 1) / 9 | 8538 | Jan 2023 | Florian Piesker | Near repunit | |
| 648 | (64 • 108541 + 17) / 338616927009 | 8532 | Mar 2023 | Youcef Lemsafer | - | |
| 649 | (7 • 108529 − 43) / 9732121263 | 8520 | Mar 2023 | Youcef Lemsafer | - | |
| 650 | (118192 + 24096) / 811750637569 | 8520 | Jan 2023 | Youcef Lemsafer | - | |
| 651 | (710079 − 1) / 8345418 | 8511 | Oct 2024 | Jiahao He | Generalized repunit cofactor | |
| 652 | (10282825 + 28251028) / 1623887337 | 8500 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 653 | (13 • 228232 − 1) / 3 | 8500 | Sep 2025 | Oliver Kruse | - | |
| 654 | (73 • 108502 + 71) / 170487 | 8499 | Mar 2023 | Youcef Lemsafer | - | |
| 655 | M(42447) / M(14149) / 86581124763285473569129 | 8496 | Jun 2024 | Alex Kruppa | Mersenne cofactor | |
| 656 | (3473331 − 1) / 346 | 8460 | May 2023 | Tom Wu | Generalized repunit | |
| 657 | (200100299192771693491 − 1) / 1373898629474229166883705969951160284311606388 | 8450 | Mar 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 658 | See complete expression | 8446 | Jun 2024 | Alex Kruppa | Mersenne cofactor of M(53055) | |
| 659 | (3123373 − 1) / 311 | 8411 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 660 | (108414 + 775) / 103775 | 8409 | Jul 2024 | Alfred Reich | - | |
| 661 | 108408 + 39913 | 8409 | Jul 2024 | Alfred Reich | - | |
| 662 | (1134096 + 724096) / 273801217 | 8401 | Jan 2023 | Youcef Lemsafer | - | |
| 663 | (9582819 + 2819958) / 200317 | 8400 | Jan 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 664 | 2873410 − 2 | 8382 | Jun 2022 | Florian Piesker | - | |
| 665 | 2376 • (23772641 − 1) / (2377139 − 1) / (237719 − 1) / 1477935293 | 8377 | Feb 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 666 | (1114096 + 404096) / 10737647617 | 8368 | Jan 2023 | Youcef Lemsafer | - | |
| 667 | (11062749 + 27491106) / 263458528020130533 | 8350 | May 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 668 | (35862351 − 1) / 16860255 | 8350 | Mar 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 669 | See complete expression | 8338 | Jun 2024 | Alex Kruppa | - | |
| 670 | (317477 − 1) / 1245760562 | 8330 | Oct 2024 | Jiahao He | Generalized repunit cofactor | |
| 671 | See complete expression | 8300 | Feb 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 672 | (117963 −1) / 43224926255859775947744209544153708970 | 8255 | Oct 2024 | Jiahao He | Generalized repunit cofactor | |
| 673 | (13162647 + 26471316) / 3196923 | 8251 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 674 | (22 • 108233 − 13) / 9 | 8234 | Jul 2022 | Anonymous | - | |
| 675 | (38 • 108216 − 11) / 54190320114037707 | 8201 | Mar 2023 | Youcef Lemsafer | - | |
| 676 | (41392267 − 1) / 4138 | 8196 | Jan 2024 | Tom Wu | Generalized repunit | |
| 677 | (71 • 108196 − 53) / 33220323 | 8191 | Feb 2023 | Youcef Lemsafer | - | |
| 678 | 16 • 206270 + 13 | 8159 | Jun 2022 | Florian Piesker | - | |
| 679 | (11 • 108128 +3) / 97 | 8128 | Sep 2025 | Oliver Kruse | - | |
| 680 | (674451 − 1) / 66 | 8127 | Jan 2024 | Tom Wu | Generalized repunit | |
| 681 | 108124 + 4147 | 8125 | Aug 2024 | Alfred Reich | - | |
| 682 | (317027 + 1) / 4 | 8124 | Jul 2022 | Florian Piesker | Generalized Wagstaff | |
| 683 | (934096 + 384096) / 188417 | 8058 | Jan 2023 | Youcef Lemsafer | - | |
| 684 | (53 • 108033 − 71) / 62932385240091 | 8021 | Feb 2023 | Youcef Lemsafer | - | |
| 685 | (108009 − 1) / 9 − 102515 | 8009 | Sep 2024 | Oliver Kruse | Near repunit | |
| 686 | (38242237 − 1) / 171044843 | 8006 | Feb 2023 | Youcef Lemsafer | Generalized repunit cofactor | |
| 687 | (32692281 + 1) / 25519260590121990 | 8000 | Mar 2024 | Edwin Hall | Generalized Wagstaff cofactor | |
| 688 | (79467 + 69) / 4 | 8000 | Mar 2024 | Edwin Hall | - | |
| 689 | (434902 + 167) / 23920176 | 8000 | Apr 2025 | Anonymous | - | |
| 690 | 12170 • (121692059 + 1) / (1216971 + 1) / (1216929 + 1) / 29637247 | 8000 | Mar 2024 | Edwin Hall | Generalized Wagstaff cofactor | |
| 691 | (141601931 − 1) / 12920932028719289 | 8000 | Jan 2023 | Anonymous | Generalized repunit cofactor | |
| 692 | (121 • 226589 − 1) / 4027553 | 8000 | Jul 2022 | Florian Piesker | - | |
| 693 | (87992029 − 1) / 8798 | 8000 | Nov 2022 | Anonymous | Generalized repunit | |
| 694 | (32411 • 365138 − 1) / 35 | 8000 | Jul 2022 | Florian Piesker | - | |
| 695 | See complete expression | 8000 | Mar 2024 | Edwin Hall | - | |
| 696 | See complete expression | 8000 | Mar 2024 | Edwin Hall | Generalized Wagstaff cofactor | |
| 697 | (1953496 + 3496195) / 5670889 | 8000 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 698 | ((6156 + 1)66 + 2) / 5329098793947 | 8000 | Mar 2024 | Edwin Hall | - | |
| 699 | See complete expression | 8000 | Mar 2024 | Edwin Hall | Generalized repunit cofactor | |
| 700 | 107999 + 1600488488137 | 8000 | Jun 2023 | Oliver Kruse | Part of the smallest 8000-digit prime triplet |
|
| 701 | 107999 + 1600488488133 | 8000 | Jun 2023 | Oliver Kruse | Part of the smallest 8000-digit prime triplet |
|
| 702 | 107999 + 1600488488131 | 8000 | Jun 2023 | Oliver Kruse | Part of the smallest 8000-digit prime triplet |
|
| 703 | 107999 + 59692204803 | 8000 | Jun 2023 | Oliver Kruse | Part of the smallest 8000-digit prime triplet |
|
| 704 | 107999 + 59692204801 | 8000 | Jun 2023 | Oliver Kruse | Part of the smallest 8000-digit prime triplet |
|
| 705 | 107999 + 308129599 | 8000 | Oct 2023 | U.N.Owen | - | |
| 706 | 107999 + 273025591 | 8000 | Mar 2024 | Edwin Hall | - | |
| 707 | (894096 + 334096) / 8929282 | 7978 | Jan 2023 | Youcef Lemsafer | - | |
| 708 | (35 • 108001 − 53) / 8827926799385761612706799 | 7978 | Feb 2023 | Youcef Lemsafer | - | |
| 709 | (19 • 107959 − 73) / 339391917 | 7952 | Jul 2024 | Alfred Reich | - | |
| 710 | (2443331 − 1) / 243 | 7951 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 711 | (2 • 107925 + 61) / 9 | 7925 | Jan 2023 | Florian Baur | Near repdigit | |
| 712 | 8232712 − 2712823 | 7907 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 713 | 7342759 − 2759734 | 7907 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 714 | (77 • 107906 + 31) / 33854049 | 7901 | Feb 2023 | Youcef Lemsafer | - | |
| 715 | (38032207 − 1) / 3802 | 7898 | Jan 2024 | Tom Wu | Generalized repunit | |
| 716 | See PrimePages for more informations | 7891 | Aug 2025 | Serge Batalov | Part of CHG-proof of Lehmer primitive part |
|
| 717 | (38 • 107876 + 43) / 9 | 7877 | Jul 2022 | Anonymous | - | |
| 718 | 12 • 186270 + 221 | 7872 | Jun 2022 | Florian Piesker | - | |
| 719 | 17122429 − 24291712 | 7855 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 720 | 22112344 − 23442211 | 7840 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 721 | (5172887 − 1) / 516 | 7832 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 722 | 21662347 − 23472166 | 7829 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 723 | 1083841 − 3841108 | 7811 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 724 | (107807 + 27 • 103903 − 1) / 19323 | 7803 | Feb 2023 | Youcef Lemsafer | - | |
| 725 | 7442717 − 2717744 | 7803 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 726 | See complete expression | 7778 | Sep 2025 | Oliver Kruse | Mersenne cofactor of M(26161) | |
| 727 | 107777 + 23631 | 7778 | Dec 2022 | Youcef Lemsafer | - | |
| 728 | 7902679 − 2679790 | 7763 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 729 | − E(2762) / 2670541 | 7760 | May 2023 | Frank Doornink | Euler irregular re-certified via CM |
|
| 730 | 17432392 − 23921743 | 7754 | Feb 2024 | Florian Piesker | Leyland minus-form | |
| 731 | 22302313 − 23132230 | 7745 | Feb 2024 | Florian Piesker | Leyland minus-form | |
| 732 | (19 • 107733 − 73) / 1262287288345540958091 | 7714 | Jul 2024 | Alfred Reich | - | |
| 733 | (23 • 107719 + 1) / 70520620353765145773 | 7701 | Feb 2023 | Youcef Lemsafer | - | |
| 734 | (41272129 − 1) / 4126 | 7695 | Sep 2024 | Tom Wu | Generalized repunit | |
| 735 | Φ(19310,10) / 59723691770615984462270474099257662234974081 | 7677 | Jul 2025 | Anonymous | Repunit cofactor of R(19310) | |
| 736 | (754096 + 174096) / 229378 | 7675 | Jan 2023 | Youcef Lemsafer | - | |
| 737 | 2953096 − 3096295 | 7647 | May 2025 | Tengfei Wang | Leyland minus-form | |
| 738 | 14972404 − 24041497 | 7634 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 739 | 13 • 285270 + 5697 | 7628 | Oct 2022 | Anonymous | - | |
| 740 | 19912312 − 23121991 | 7628 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 741 | (734096 + 374096) / 81922 | 7628 | Jan 2023 | Youcef Lemsafer | - | |
| 742 | 20712298 − 22982071 | 7621 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 743 | 2053278 − 3278205 | 7578 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 744 | 11452466 − 24661145 | 7544 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 745 | (12972423 − 1) / 1296 | 7540 | Sep 2023 | Anonymous | Generalized repunit | |
| 746 | (843917 − 1) / 83 | 7536 | Jul 2022 | Florian Piesker | Generalized repunit | |
| 747 | (19 • 107581 − 73) / 705339555643950750455644733834598431861786767432209 | 7532 | Jul 2024 | Alfred Reich | - | |
| 748 | (19 • 107532 − 73) / 311235687 | 7525 | Jul 2024 | Alfred Reich | - | |
| 749 | (8 • 107517 − 17) / 66339998953749837 | 7502 | Dec 2022 | Youcef Lemsafer | - | |
| 750 | (684096 + 374096) / 3625623553 | 7497 | Jan 2023 | Youcef Lemsafer | - | |
| 751 | (510723 + 1) / 1685398254 | 7486 | Nov 2024 | Jiahao He | Generalized Wagstaff cofactor | |
| 752 | 14572366 − 23661457 | 7485 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 753 | 2153206 −3206215 | 7478 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 754 | 3922883 − 2883392 | 7477 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 755 | 11122453 − 24531112 | 7473 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 756 | (13192393 − 1) / 1318 | 7464 | Jun 2023 | Tom Wu | Generalized repunit | |
| 757 | (69587 − 1) / 1547659697921495 | 7445 | Oct 2024 | Jiahao He | Generalized repunit cofactor | |
| 758 | 15582331 − 23311558 | 7442 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 759 | 13822367 − 23671382 | 7434 | Jan 2024 | Florian Piesker | Leyland minus-form | |
| 760 | M(24977) / 356188988279565678860712219326788909779222981959375612731418246191096000840878817568687 |
7433 | May 2025 | Anonymous | Mersenne cofactor | |
| 761 | 9 • 107400 − 13 | 7401 | Dec 2022 | Youcef Lemsafer | - | |
| 762 | See complete expression | 7401 | Aug 2024 | Alfred Reich | Generalized repunit cofactor | |
| 763 | (107400 − 1) / 9 − 10135 | 7400 | Dec 2022 | Youcef Lemsafer | Near repunit | |
| 764 | 107399 + 4119 | 7400 | Dec 2022 | Youcef Lemsafer | - | |
| 765 | (19 • 107388 − 73) / 2519251881192081 | 7374 | Jul 2024 | Alfred Reich | - | |
| 766 | (510567 − 1) / 462684221045557737731337100158760674675356 | 7345 | Oct 2024 | Jiahao He | Generalized repunit cofactor | |
| 767 | (11872389 − 1) / 1186 | 7342 | Jun 2023 | Tom Wu | Generalized repunit | |
| 768 | 8822491 − 2491882 | 7338 | Aug 2023 | Florian Piesker | Leyland minus-form | |
| 769 | (75 • 224339 − 1) / 248209057 | 7321 | Sep 2024 | Anonymous | - | |
| 770 | See complete expression | 7299 | Sep 2024 | Serge Batalov | Cyclotomic polynomial cofactor of 1247505550 − 1 |
|
| 771 | 18122239 − 22391812 | 7296 | Aug 2023 | Florian Piesker | Leyland minus-form | |
| 772 | 11 • 136543 + 2012 | 7290 | Jun 2022 | Florian Piesker | - | |
| 773 | (1743251 − 1) / 173 | 7282 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 774 | 19882193 − 21931988 | 7234 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 775 | 21632164 − 21642163 | 7218 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 776 | (5 • 304883 + 401) / 29 | 7213 | Jun 2022 | Florian Piesker | - | |
| 777 | 107203 + 8049 | 7204 | Aug 2024 | Alfred Reich | - | |
| 778 | (107200 − 1) / 9 − 10620 | 7200 | Jul 2024 | Alfred Reich | Near repunit | |
| 779 | (107200 − 1) / 9 − 104584 | 7200 | Jul 2024 | Alfred Reich | Near repunit | |
| 780 | (36549 • 364619 − 289) / 35 | 7192 | Dec 2022 | Florian Piesker | - | |
| 781 | 12192324 − 23241219 | 7172 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 782 | 3282847 − 2847328 | 7163 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 783 | (8632423 − 1) / 862 | 7112 | May 2023 | Tom Wu | Generalized repunit | |
| 784 | (314957 + 1) / 1483315759467807874109351530756 | 7107 | Nov 2024 | Jiahao He | Generalized Wagstaff cofactor | |
| 785 | 15152234 − 22341515 | 7106 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 786 | (979 • 364563 − 629) / 35 | 7103 | Dec 2022 | Florian Piesker | - | |
| 787 | (4 • 107122 + 17) / 82113205012595611229319 | 7100 | Dec 2022 | Youcef Lemsafer | - | |
| 788 | (414410 + 40) / 269785789357018487396191933 | 7086 | Nov 2024 | Alfred Reich | Dual Williams cofactor | |
| 789 | 13812252 − 22521381 | 7072 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 790 | (7 • 223487 + 1) / 3 | 7071 | Aug 2024 | Alfred Reich | - | |
| 791 | 14032246 − 22461403 | 7069 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 792 | (1493251 − 1) / 148 | 7063 | Jun 2023 | Tom Wu | Generalized repunit | |
| 793 | (11 • 107020 − 101) / 9 | 7021 | Oct 2024 | Alfred Reich | - | |
| 794 | (89 • 223281 − 1) / 11584437 | 7004 | Sep 2024 | Oliver Kruse | - | |
| 795 | 107002 + 51159 | 7003 | Aug 2024 | Alfred Reich | - | |
| 796 | (19732125 + 21251973) / 6 | 7002 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 797 | 107001 + 301 | 7002 | Dec 2023 | U.N.Owen | - | |
| 798 | (143 • 223276 + 1) / 1243550463 | 7000 | Jun 2022 | Anonymous | Proth cofactor | |
| 799 | (78305 + 131) / 5948061232140505794 | 7000 | Mar 2024 | Edwin Hall | - | |
| 800 | (42561969 + 39382128) / 22128 / 28264230669 | 7000 | Mar 2024 | Edwin Hall | - | |
| 801 | (107000 + 546) / 2 | 7000 | Sep 2023 | U.N.Owen | - | |
| 802 | 14983 • (149841763 − 1) / (1498443 − 1) / (1498441 − 1) / 5711006133239723 | 7000 | Mar 2024 | Edwin Hall | Generalized repunit cofactor | |
| 803 | (6582487 + 2487658) / 4307646419 | 7000 | Nov 2024 | Alfred Reich | Leyland plus-form cofactor | |
| 804 | (11 • 107000 + 61) / 63 | 7000 | Dec 2022 | Youcef Lemsafer | - | |
| 805 | 106999 + 1868862621093 | 7000 | Sep 2022 | Oliver Kruse | Part of smallest 7000-digit prime triplet |
|
| 806 | 106999 + 1868862621091 | 7000 | Sep 2022 | Oliver Kruse | Part of smallest 7000-digit prime triplet |
|
| 807 | 106999 + 1868862621087 | 7000 | Sep 2022 | Oliver Kruse | Part of smallest 7000-digit prime triplet |
|
| 808 | 106999 + 1141791245443 | 7000 | Aug 2022 | Oliver Kruse | Part of smallest 7000-digit prime triplet |
|
| 809 | 106999 + 1141791245439 | 7000 | Aug 2022 | Oliver Kruse | Part of smallest 7000-digit prime triplet |
|
| 810 | 106999 + 1141791245437 | 7000 | Aug 2022 | Oliver Kruse | Part of smallest 7000-digit prime triplet |
|
| 811 | 106998 + 699817 + 1710 | 6999 | Jan 2023 | Youcef Lemsafer | - | |
| 812 | 9552348 − 2348955 | 6998 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 813 | (514096 + 144096) / 114689 | 6990 | Jan 2023 | Youcef Lemsafer | - | |
| 814 | 106966 + 54967 | 6967 | Aug 2024 | Alfred Reich | - | |
| 815 | 593930 − 393059 | 6960 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 816 | (35 • 106954 − 593) / 9 | 6955 | Jan 2023 | Florian Piesker | - | |
| 817 | (20032107 − 21072003) / 227032 | 6952 | Sep 2024 | Anonymous | Leyland minus-form cofactor | |
| 818 | (27 • 1353250 − 1) / 2 | 6925 | May 2022 | Ryan S. Propper | - | |
| 819 | (4 • 106923 − 1) / 3 | 6924 | Nov 2022 | Anonymous | - | |
| 820 | 16732138 − 21381673 | 6892 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 821 | 17692112 − 21121769 | 6860 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 822 | 16152138 − 21381615 | 6860 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 823 | 9662297 − 2297966 | 6857 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 824 | 2132944 − 2944213 | 6855 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 825 | (11 • 1753048 − 1) / 2 | 6838 | Jun 2022 | Florian Piesker | - | |
| 826 | 16352126 − 21261635 | 6832 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 827 | (17 • 106812 + 7) / 3 | 6813 | Aug 2023 | Markus Tervooren | - | |
| 828 | (21172048 + 1) / 2 | 6811 | Aug 2022 | Florian Piesker | Generalized half-Fermat | |
| 829 | 4482565 − 2565448 | 6801 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 830 | (106786 − 1) / 9 − 102992 | 6786 | Aug 2024 | Alfred Reich | Near repunit | |
| 831 | 106784 − 8387 | 6784 | Aug 2024 | Alfred Reich | - | |
| 832 | 7002379 − 2379700 | 6769 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 833 | (8878 • 106763 − 1) / 3 | 6767 | Dec 2022 | Florian Piesker | - | |
| 834 | 18952064 − 20641895/ | 6765 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 835 | (68707 + 1) / 39913890895403104540916291 | 6750 | Nov 2024 | Jiahao He | Generalized Wagstaff cofactor | |
| 836 | 1023359 − 3359102 | 6747 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 837 | (3112707 + 1) / 312 | 6746 | Jun 2022 | Florian Piesker | Generalized Wagstaff | |
| 838 | (16138 • 106711 − 1) / 9 | 6715 | Dec 2022 | Florian Piesker | - | |
| 839 | 11642179 − 21791164 | 6681 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 840 | (414138 + 40) / 4579 | 6671 | Nov 2024 | Alfred Reich | Dual Williams cofactor | |
| 841 | (3602609 − 1) / 359 | 6667 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 842 | 7652306 − 2306765 | 6650 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 843 | 10192208 − 22081019 | 6643 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 844 | 313904 − 139043 | 6634 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 845 | 18392032 − 20321839 | 6634 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 846 | 3752576 − 2576375 | 6631 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 847 | (963343 − 1) / 95 | 6625 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 848 | 414088 − 408841 | 6594 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 849 | 7112302 − 2302711 | 6566 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 850 | 1043251 − 3251104 | 6558 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 851 | 14682067 − 20671468 | 6546 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 852 | 7492270 − 2270749 | 6526 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 853 | 9742181 − 2181974 | 6519 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 854 | (106504 − 1) / 9 − 101979 | 6504 | May 2025 | Tengfei Wang | Near repunit | |
| 855 | (24591907 − 1) / 2458 | 6463 | Jun 2023 | Tom Wu | Generalized repunit | |
| 856 | 15152026 − 20261515 | 6444 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 857 | (28 • 106441 + 521) / 9 | 6442 | Jan 2023 | Florian Piesker | - | |
| 858 | 1482949 − 2949148 | 6401 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 859 | (77577 + 1) / 25503753010544086902592043488124072824 | 6366 | Nov 2024 | Jiahao He | Generalized Wagstaff cofactor | |
| 860 | (4232417 + 1) / 424 | 6346 | Jun 2022 | Florian Piesker | Generalized Wagstaff | |
| 861 | See PrimePages for more informations | 6338 | Aug 2025 | Serge Batalov | Part of CHG-proof of Lehmer primitive part |
|
| 862 | 106333 + 15501 | 6334 | Aug 2024 | Alfred Reich | - | |
| 863 | See complete expression | 6333 | Jul 2024 | Alfred Reich | Generalized repunit cofactor | |
| 864 | 106332 + 9757 | 6333 | Aug 2024 | Alfred Reich | - | |
| 865 | (2272687 − 1) / 226 | 6329 | May 2023 | Anonymous | Generalized repunit | |
| 866 | (49 • 221007 − 1) / 2064228473 | 6317 | Jul 2024 | Alfred Reich | Proth cofactor | |
| 867 | 503699 − 369950 | 6285 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 868 | (1372939 − 1) / 136 | 6278 | Jun 2023 | Tom Wu | Generalized repunit | |
| 869 | (29811800 − 602981) / 173 | 6252 | Feb 2023 | Youcef Lemsafer | - | |
| 870 | M(20963) / 81379832959403149463770156281732303005429401341649326070070825294890913 | 6240 | Jul 2025 | Florian Baur | Mersenne cofactor | |
| 871 | 2942509 − 2509294 | 6194 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 872 | 20 • 264366 + 473 | 6180 | Dec 2022 | Florian Piesker | - | |
| 873 | 3492424 − 2424349 | 6164 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 874 | (123 • 220466 − 1) / 3502570762954150661 | 6145 | Sep 2024 | Anonymous | - | |
| 875 | (3 • 220447 − 1) / 203923863859 | 6145 | Sep 2024 | Anonymous | - | |
| 876 | (167 • 220440 − 1) / 566444958433 | 6144 | Sep 2024 | Anonymous | - | |
| 877 | (242 • 284241 − 4679) / 9 | 6139 | Jun 2022 | Florian Piesker | - | |
| 878 | 25 • 363934 − 901 | 6124 | Jun 2022 | Florian Piesker | - | |
| 879 | 3892360 − 2360389 | 6113 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 880 | (673347 − 1) / 66 | 6111 | Jun 2023 | Tom Wu | Generalized repunit | |
| 881 | (4 • 363926 + 941) / 35 | 6110 | Dec 2022 | Florian Piesker | - | |
| 882 | (743257 − 1) / 73 | 6087 | Sep 2025 | Tom Wu | Generalized repunit | |
| 883 | (5152243 − 1) / 514 | 6080 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 884 | (16306 • 106068 − 7) / 9 | 6072 | Jul 2022 | Florian Piesker | - | |
| 885 | (2842473 − 1) / 283 | 6065 | Jun 2022 | Florian Piesker | Generalized repunit | |
| 886 | (6772143 − 1) / 676 | 6064 | Sep 2025 | Tom Wu | Generalized repunit | |
| 887 | (2392549 − 1) / 238 | 6061 | Sep 2025 | Tom Wu | Generalized repunit | |
| 888 | (1802683 − 1) / 179 | 6049 | Sep 2025 | Tom Wu | Generalized repunit | |
| 889 | (1342843 − 1) / 133 | 6046 | Sep 2024 | Alfred Reich | Generalized repunit | |
| 890 | 106043 − 15119 | 6043 | Aug 2024 | Alfred Reich | - | |
| 891 | 106042 + 8167 | 6043 | Aug 2024 | Alfred Reich | - | |
| 892 | (67793 − 1) / 52650742795870502208021425088290165 | 6030 | Oct 2024 | Jiahao He | Generalized repunit cofactor | |
| 893 | 1992622 − 2622199 | 6028 | Jul 2023 | Florian Piesker | Leyland minus-form | |
| 894 | 219999 + 168863243 | 6021 | Jul 2023 | Oliver Kruse | Part of smallest 20000-bit prime twin | |
| 895 | 219999 + 168863241 | 6021 | Jul 2023 | Oliver Kruse | Part of smallest 20000-bit prime twin | |
| 896 | 219999 + 3191 | 6021 | Jul 2023 | Oliver Kruse | Smallest 20000-bit prime | |
| 897 | 106012 + 313 | 6013 | May 2025 | Tengfei Wang | - | |
| 898 | (1732687 − 1) / 172 | 6012 | Aug 2022 | Florian Piesker | Generalized repunit | |
| 899 | (106008 − 1) / 9 − 10162 | 6008 | May 2025 | Tengfei Wang | Near repunit | |
| 900 | (111 • 219949 − 1) / 113 | 6006 | Nov 2024 | Alfred Reich | - | |
| 901 | (17551853 + 18531755) / 1132708784 | 6003 | Feb 2023 | Youcef Lemsafer | Leyland plus-form cofactor | |
| 902 | (115801 + 1) / 806106541271920844262715684835860141812 | 6003 | Nov 2024 | Jiahao He | Generalized Wagstaff cofactor | |
| 903 | (106009 − 845) / 124737605 | 6001 | Feb 2023 | Anonymous | - | |
| 904 | See complete expression | 6001 | Apr 2025 | Anonymous | - | |
| 905 | See complete expression | 6000 | Apr 2025 | Anonymous | - | |
| 906 | (150751438 + 1) / 227255626 | 6000 | Apr 2024 | Anonymous | - | |
| 907 | (77100 − 39) / 2 | 6000 | Oct 2023 | Anonymous | - | |
| 908 | (130362187 + 1) / (13036729 + 1) | 6000 | Dec 2024 | Alfred Reich | - | |
| 909 | (77111 + 841) / 5610416576 | 6000 | Feb 2024 | Edwin Hall | - | |
| 910 | See complete expression | 6000 | Oct 2024 | Alfred Reich | Generalized repunit cofactor | |
| 911 | See complete expression | 6000 | Feb 2024 | Anonymous | - | |
| 912 | 473588 + 66 | 6000 | Nov 2024 | Alfred Reich | - | |
| 913 | (77 • 219969 − 1) / 50829469734861 | 6000 | Jun 2022 | Anonymous | - | |
| 914 | (61 • 106015 + 11) / 263147076898997931 | 6000 | Dec 2022 | Florian Piesker | - | |
| 915 | See complete expression | 6000 | Feb 2024 | Edwin Hall | Generalized repunit cofactor | |
| 916 | See complete expression | 6000 | Feb 2024 | Edwin Hall | - | |
| 917 | (116651478 + 1) / 402365572282 | 6000 | Nov 2024 | Alfred Reich | - | |
| 918 | (2082! + 78913586303) / 50631443 | 6000 | Mar 2024 | Edwin Hall | - | |
| 919 | (58482 + 264241) / 51 | 6000 | Dec 2022 | Frank Doornink | - | |
| 920 | (77115 + 751) / 48265657103978 | 6000 | Feb 2024 | Edwin Hall | - | |
| 921 | (219938 − 7) / 669 | 6000 | Jul 2024 | Alfred Reich | - | |
| 922 | (106050 − 518) / 837059097353974734781606790587421200913200733463406 | 6000 | Feb 2024 | Edwin Hall | - | |
| 923 | (77119 + 450) / 156413412894410789 | 6000 | Feb 2024 | Edwin Hall | - | |