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