# List of largest known primes and probable primes

The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.

## Largest known primes

These numbers have been proved prime by computer with a primality test for their form, for example the Lucas–Lehmer primality test for Mersenne numbers. “!” is the factorial, “#” is the primorial, and $\Phi _{3}(x)$ is the third cyclotomic polynomial, defined as $x^{2}+x+1$.
| Rank | Number | Discovery date | Decimal digits |
| 1 | 2$^{136279841}$ – 1 | 12 October 2024 | 41,024,320 |
| 2 | 2$^{82589933}$ – 1 | 7 December 2018 | 24,862,048 |
| 3 | 2$^{77232917}$ – 1 | 26 December 2017 | 23,249,425 |
| 4 | 2$^{74207281}$ – 1 | 7 January 2016 | 22,338,618 |
| 5 | 2$^{57885161}$ – 1 | 25 January 2013 | 17,425,170 |
| 6 | 2$^{43112609}$ – 1 | 23 August 2008 | 12,978,189 |
| 7 | 2$^{42643801}$ – 1 | 4 June 2009 | 12,837,064 |
| 8 | $\Phi _{3}(-516693^{1048576})$ | 2 October 2023 | 11,981,518 |
| 9 | $\Phi _{3}(-465859^{1048576})$ | 31 May 2023 | 11,887,192 |
| 10 | 2$^{37156667}$ – 1 | 6 September 2008 | 11,185,272 |
| 11 | 2$^{32582657}$ – 1 | 4 September 2006 | 9,808,358 |
| 12 | 10223×2$^{31172165}$ + 1 | 31 October 2016 | 9,383,761 |
| 13 | 2$^{30402457}$ – 1 | 15 December 2005 | 9,152,052 |
| 14 | 4×5$^{11786358}$ + 1 | 1 October 2024 | 8,238,312 |
| 15 | 2$^{25964951}$ – 1 | 18 February 2005 | 7,816,230 |
| 16 | 69×2$^{24612729}$ – 1 | 13 August 2024 | 7,409,172 |
| 17 | 2$^{24036583}$ – 1 | 15 May 2004 | 7,235,733 |
| 18 | 107347×2$^{23427517}$ – 1 | 4 August 2024 | 7,052,391 |
| 19 | 3843236$^{1048576}$ + 1 | 17 December 2024 | 6,904,556 |
| 20 | 3×2$^{22103376}$ − 1 | 30 September 2024 | 6,653,780 |
| 21 | 1963736$^{1048576}$ + 1 | 24 September 2022 | 6,598,776 |
| 22 | 1951734$^{1048576}$ + 1 | 9 August 2022 | 6,595,985 |
| 23 | 202705×2$^{21320516}$ + 1 | 25 November 2021 | 6,418,121 |
| 24 | 2$^{20996011}$ – 1 | 17 November 2003 | 6,320,430 |
| 25 | 1059094$^{1048576}$ + 1 | 31 October 2018 | 6,317,602 |
| 26 | 3×2$^{20928756}$ − 1 | 5 July 2023 | 6,300,184 |
| 27 | 919444$^{1048576}$ + 1 | 29 August 2017 | 6,253,210 |
| 28 | 81×2$^{20498148}$ + 1 | 13 June 2023 | 6,170,560 |
| 29 | 7×2$^{20267500}$ + 1 | 21 July 2022 | 6,101,127 |
| 30 | 4×5$^{8431178}$ + 1 | 2 January 2024 | 5,893,142 |
| 31 | 168451×2$^{19375200}$ + 1 | 17 September 2017 | 5,832,522 |
| 32 | 69×2$^{19374980}$ − 1 | 3 July 2022 | 5,832,452 |
| 33 | 3×2$^{18924888}$ − 1 | 24 March 2022 | 5,696,990 |
| 34 | 69×2$^{18831865}$ − 1 | 16 December 2021 | 5,668,959 |
| 35 | 2×3$^{11879700}$ + 1 | 22 June 2024 | 5,668,058 |
| 36 | 97139×2$^{18397548}$ − 1 | 23 April 2023 | 5,538,219 |
| 37 | 7×2$^{18233956}$ + 1 | 1 October 2020 | 5,488,969 |
| 38 | 3×2$^{18196595}$ − 1 | 8 January 2022 | 5,477,722 |
| 39 | 4×3$^{11279466}$ + 1 | 10 September 2024 | 5,381,674 |
| 40 | 3×2$^{17748034}$ − 1 | 6 September 2021 | 5,342,692 |
| 41 | $\Phi _{3}(-123447^{524288})$ | 23 February 2017 | 5,338,805 |
| 42 | 3622×5$^{7558139}$ − 1 | 18 February 2022 | 5,282,917 |
| 43 | 7×6$^{6772401}$ + 1 | 9 September 2019 | 5,269,954 |
| 44 | 2×3$^{10852677}$ + 1 | 8 January 2023 | 5,178,044 |
| 45 | 8508301×2$^{17016603}$ – 1 | 21 March 2018 | 5,122,515 |
| 46 | 8×10$^{5112848}$ – 1 | 30 January 2024 | 5,112,848 |
| 47 | 13×2$^{16828072}$ + 1 | 11 October 2023 | 5,065,756 |
| 48 | 3×2$^{16819291}$ – 1 | 20 January 2021 | 5,063,112 |
| 49 | 5287180×3$^{10574360}$ – 1 | 3 November 2024 | 5,045,259 |
| 50 | 3×2$^{16408818}$ + 1 | 25 October 2020 | 4,939,547 |
| 51 | 2329989×2$^{16309923}$ – 1 | 13 February 2024 | 4,909,783 |
| 52 | 69×2$^{15866556}$ + 1 | 20 August 2021 | 4,776,312 |
| 53 | 2036×3$^{10009192}$ + 1 | 15 February 2024 | 4,775,602 |
| 54 | 2525332×73$^{2525332}$ + 1 | 28 August 2021 | 4,705,888 |
| 55 | 1419499×2$^{15614489}$ + 1 | 9 February 2024 | 4,700,436 |
| 56 | 11×2$^{15502315}$ + 1 | 8 January 2023 | 4,666,663 |
| 57 | (10$^{2332974}$ + 1)$^2$-2 | 20 February 2024 | 4,665,949 |
| 58 | 37×2$^{15474010}$ + 1 | 8 November 2022 | 4,658,143 |
| 59 | 93839×2$^{15337656}$ – 1 | 28 November 2022 | 4,617,100 |
| 60 | 2$^{15317227}$+2$^{7658614}$ + 1 | 31 July 2020 | 4,610,945 |
| 61 | 13×2$^{15294536}$ + 1 | 30 September 2023 | 4,604,116 |
| 62 | 6×5$^{6546983}$ + 1 | 13 June 2020 | 4,576,146 |
| 63 | 4788920×3$^{9577840}$ – 1 | 14 February 2024 | 4,569,798 |
| 64 | 31×2$^{15145093}$ – 1 | 9 February 2025 | 4,559,129 |
| 65 | 69×2$^{14977631}$ – 1 | 3 December 2021 | 4,508,719 |
| 66 | 192971×2$^{14773498}$ – 1 | 7 March 2021 | 4,447,272 |
| 67 | 4×3$^{9214845}$ + 1 | 10 September 2024 | 4,396,600 |
| 68 | 9145334×3$^{9145334}$ + 1 | 25 December 2023 | 4,363,441 |
| 69 | 4×5$^{6181673}$ – 1 | 15 July 2022 | 4,320,805 |
| 70 | 396101×2$^{14259638}$ – 1 | 3 February 2024 | 4,292,585 |
| 71 | 6962×31$^{2863120}$ – 1 | 29 February 2020 | 4,269,952 |
| 72 | 37×2$^{14166940}$ + 1 | 24 June 2022 | 4,264,676 |
| 73 | 99739×2$^{14019102}$ – 1 | 24 December 2019 | 4,220,176 |
| 74 | 69×2$^{13832885}$ – 1 | 17 January 2022 | 4,164,116 |
| 75 | 404849×2$^{13764867}$ + 1 | 10 March 2021 | 4,143,644 |
| 76 | 25×2$^{13719266}$ + 1 | 20 September 2022 | 4,129,912 |
| 77 | 81×2$^{13708272}$ + 1 | 11 October 2022 | 4,126,603 |
| 78 | 2740879×2$^{13704395}$ – 1 | 26 October 2019 | 4,125,441 |
| 79 | 479216×3$^{8625889}$ – 1 | 16 November 2019 | 4,115,601 |
| 80 | 31×2$^{13514933}$ – 1 | 9 February 2025 | 4,068,402 |
| 81 | $\Phi _{3}(-143332^{393216})$ | 30 January 2017 | 4,055,114 |
| 82 | 81×2$^{13470584}$ + 1 | 9 October 2022 | 4,055,052 |
| 83 | 2$^{13466917}$ – 1 | 14 November 2001 | 4,053,946 |
| 84 | 5778486×5$^{5778486}$ + 1 | 15 August 2024 | 4,038,996 |
| 85 | 9×2$^{13334487}$ + 1 | 31 March 2020 | 4,014,082 |
| 86 | 206039×2$^{13104952}$ − 1 | 26 April 2021 | 3,944,989 |
| 87 | 2805222×5$^{5610444}$ + 1 | 2 September 2019 | 3,921,539 |
| 88 | 5128×22$^{2919993}$ + 1 | 5 December 2024 | 3,919,869 |
| 89 | 19249×2$^{13018586}$ + 1 | 26 March 2007 | 3,918,990 |
| 90 | 2293×2$^{12918431}$ − 1 | 13 February 2021 | 3,888,839 |
| 91 | 81×2$^{12804541}$ + 1 | 19 September 2022 | 3,854,553 |
| 92 | 4×5$^{5380542}$ + 1 | 22 February 2023 | 3,760,839 |
| 93 | 13520762$^{524288}$ + 1 | 25 February 2025 | 3,738,699 |
| 94 | 13427472$^{524288}$ + 1 | 3 March 2025 | 3,737,122 |
| 95 | 9×2$^{12406887}$ + 1 | 29 March 2020 | 3,734,847 |
| 96 | 12900356$^{524288}$ + 1 | 22 January 2025 | 3,728,004 |
| 97 | 12693488$^{524288}$ + 1 | 6 January 2025 | 3,724,323 |
| 98 | 11937916$^{524288}$ + 1 | 5 October 2024 | 3,710,349 |
| 99 | 7×2$^{12286041}$ − 1 | 10 June 2023 | 3,698,468 |
| 100 | 10913140$^{524288}$ + 1 | 19 June 2024 | 3,689,913 |
| 101 | 69×2$^{12231580}$ − 1 | 27 July 2021 | 3,682,075 |
| 102 | 27×2$^{12184319}$ + 1 | 6 February 2021 | 3,667,847 |
| 103 | 9332124$^{524288}$ + 1 | 22 June 2024 | 3,654,278 |
| 104 | 8630170$^{524288}$ + 1 | 13 April 2024 | 3,636,472 |
| 105 | 863282×5$^{5179692}$ - 1 | 17 October 2024 | 3,620,456 |
| 106 | 670490×12$^{3352450}$ - 1 | 17 October 2024 | 3,617,907 |
| 107 | 4×3$^{7578378}$ + 1 | 9 September 2024 | 3,615,806 |
| 108 | 11×2$^{11993994}$ − 1 | 15 August 2024 | 3,610,554 |
| 109 | 3761×2$^{11978874}$ − 1 | 6 July 2022 | 3,606,004 |
| 110 | 95×2$^{11954552}$ − 1 | 28 May 2024 | 3,598,681 |
| 111 | 259072×5$^{5136295}$ − 1 | 28 October 2024 | 3,590,122 |
| 112 | 3×2$^{11895718}$ − 1 | 23 June 2015 | 3,580,969 |
| 113 | 37×2$^{11855148}$ + 1 | 30 May 2022 | 3,568,757 |
| 114 | 6339004$^{524288}$ + 1 | 8 June 2023 | 3,566,218 |
| 115 | 763795×6$^{4582771}$ + 1 | 11 December 2023 | 3,566,095 |
| 116 | 5897794$^{524288}$ + 1 | 18 December 2022 | 3,549,792 |
| 117 | 3×2$^{11731850}$ − 1 | 13 March 2015 | 3,531,640 |
| 118 | 69×2$^{11718455}$ − 1 | 4 December 2020 | 3,527,609 |
| 119 | 8629×2$^{11708579}$ – 1 | 19 September 2024 | 3,524,638 |
| 120 | 41×2$^{11676439}$ + 1 | 20 June 2022 | 3,514,960 |
| 121 | 4896418$^{524288}$ + 1 | 15 May 2022 | 3,507,424 |
| 122 | 81×2$^{11616017}$ + 1 | 30 August 2022 | 3,496,772 |
| 123 | 69×2$^{11604348}$ − 1 | 4 December 2020 | 3,493,259 |
| 124 | 4450871×6$^{4450871}$ + 1 | 17 September 2023 | 3,463,458 |
| 125 | 9×2$^{11500843}$ + 1 | 13 March 2020 | 3,462,100 |
| 126 | 3×2$^{11484018}$ − 1 | 22 November 2014 | 3,457,035 |
| 127 | 193997×2$^{11452891}$ +1 | 3 April 2018 | 3,447,670 |
| 128 | 29914×5$^{4930904}$ +1 | 27 September 2024 | 3,446,559 |
| 129 | 3638450$^{524288}$ +1 | 29 May 2020 | 3,439,810 |
| 130 | 9221×2$^{11392194}$ -1 | 7 February 2021 | 3,429,397 |
| 131 | 9×2$^{11366286}$ +1 | 26 March 2020 | 3,421,594 |
| 132 | 5×2$^{11355764}$ -1 | 2 October 2021 | 3,418,427 |
| 133 | 732050×6$^{4392301}$ +1 | 9 September 2023 | 3,417,881 |
| 134 | 3214654$^{524288}$ +1 | 24 December 2019 | 3,411,613 |
| 135 | 632760! - 1 | 20 October 2024 | 3,395,992 |
| 136 | 146561×2$^{11280802}$ -1 | 16 November 2020 | 3,395,865 |
| 137 | 51208×5$^{4857576}$ +1 | 6 June 2024 | 3,395,305 |
| 138 | 2985036$^{524288}$ +1 | 18 September 2019 | 3,394,739 |
| 139 | 4591×2$^{11270837}$ -1 | 2 January 2025 | 3,392,864 |
| 140 | 6929×2$^{11255424}$ -1 | 7 July 2022 | 3,388,225 |
| 141 | 2877652$^{524288}$ +1 | 29 June 2019 | 3,386,397 |
| 142 | 2788032$^{524288}$ +1 | 17 April 2019 | 3,379,193 |
| 143 | 2733014$^{524288}$ +1 | 18 March 2019 | 3,374,655 |
| 144 | 9×2$^{11158963}$ +1 | 13 March 2020 | 3,359,184 |
| 145 | 9271×2$^{11134335}$ -1 | 17 January 2021 | 3,351,773 |
| 146 | 136804×5$^{4777253}$ -1 | 1 March 2024 | 3,339,162 |
| 147 | 2312092$^{524288}$ + 1 | 4 August 2018 | 3,336,572 |
| 148 | 987324×48$^{1974648}$ - 1 | 12 October 2024 | 3,319,866 |
| 149 | 2061748$^{524288}$ + 1 | 20 March 2018 | 3,310,478 |
| 150 | 1880370$^{524288}$ + 1 | 15 January 2018 | 3,289,511 |
| 151 | 27×2$^{10902757}$ − 1 | 7 March 2022 | 3,282,059 |
| 152 | 3×2$^{10829346}$ + 1 | 14 January 2014 | 3,259,959 |
| 153 | 11×2$^{10803449}$ + 1 | 29 May 2022 | 3,252,164 |
| 154 | 11×2$^{10797109}$ + 1 | 29 May 2022 | 3,250,255 |
| 155 | 7×2$^{10612737}$ − 1 | 19 May 2022 | 3,194,154 |
| 156 | 7351117# + 1 | 14 September 2024 | 3,191,401 |
| 157 | 37×2$^{10599476}$ + 1 | 17 June 2022 | 3,190,762 |
| 158 | 5×2$^{10495620}$ − 1 | 26 September 2021 | 3,159,498 |
| 159 | ${\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}$ | 30 June 2023 | 3,153,105 |
| 160 | 5×2$^{10349000}$ − 1 | 26 September 2021 | 3,115,361 |
| 161 | $\Phi _{3}(-844833^{262144})$ | 17 January 2017 | 3,107,335 |
| 162 | 52922×5$^{4399812}$ – 1 | 3 August 2023 | 3,075,342 |
| 163 | $\Phi _{3}(-712012^{262144})$ | 14 January 2017 | 3,068,389 |
| 164 | 177742×5$^{4386703}$ – 1 | 24 July 2023 | 3,066,180 |
| 165 | 4×3$^{6402015}$ + 1 | 9 September 2024 | 3,054,539 |
| 166 | 874208×54$^{1748416}$ – 1 | 26 September 2019 | 3,028,951 |
| 167 | 475856$^{524288}$ + 1 | 8 August 2012 | 2,976,633 |
| 168 | 2×3$^{6236772}$ + 1 | 20 December 2022 | 2,975,697 |
| 169 | 15×3$^{9830108}$ + 1 | 19 August 2023 | 2,959,159 |
| 170 | 9×2$^{9778263}$ + 1 | 5 August 2020 | 2,943,552 |
| 171 | 198×558$^{1061348}$ + 1 | 30 August 2024 | 2,915,138 |
| 172 | 1806676×41$^{1806676}$ + 1 | 11 March 2018 | 2,913,785 |
| 173 | 356926$^{524288}$ + 1 | 20 June 2012 | 2,911,151 |
| 174 | 341112$^{524288}$ + 1 | 15 June 2012 | 2,900,832 |
| 175 | 213988×5$^{4138363}$ – 1 | 29 November 2022 | 2,892,597 |
| 176 | 43×2$^{9596983}$ – 1 | 28 February 2022 | 2,888,982 |
| 177 | 121×2$^{9584444}$ + 1 | 18 November 2020 | 2,885,208 |
| 178 | 15×2$^{9482269}$ – 1 | 14 August 2024 | 2,854,449 |
| 179 | 6533299# - 1 | 18 August 2024 | 2,835,864 |
| 180 | 11×2$^{9381365}$ + 1 | 7 March 2020 | 2,824,074 |
| 181 | 15×2$^{9312889}$ + 1 | 7 August 2023 | 2,803,461 |
| 182 | 49×2$^{9187790}$ + 1 | 11 September 2022 | 2,765,803 |
| 183 | 6369619# + 1 | 12 August 2024 | 2,765,105 |
| 184 | 27653×2$^{9167433}$ + 1 | 8 June 2005 | 2,759,677 |
| 185 | 6354977# − 1 | 12 August 2024 | 2,758,832 |
| 186 | 90527×2$^{9162167}$ + 1 | 30 June 2010 | 2,758,093 |
| 187 | 6795×2$^{9144320}$ − 1 | 31 March 2021 | 2,752,719 |
| 188 | 31×2$^{9088085}$ − 1 | 27 August 2024 | 2,735,788 |
| 189 | 75×2$^{9079482}$ + 1 | 25 July 2023 | 2,733,199 |
| 190 | 1323365×116$^{1323365}$ + 1 | 18 January 2018 | 2,732,038 |
| 191 | 57×2$^{9075622}$ – 1 | 7 August 2022 | 2,732,037 |
| 192 | 10$^{2718281}$-5×10$^{1631138}$-5×10$^{1087142}$ – 1 | 6 August 2024 | 2,718,281 |
| 193 | 63838×5$^{3887851}$ – 1 | 19 June 2022 | 2,717,497 |
| 194 | 13×2$^{8989858}$ + 1 | 10 March 2020 | 2,706,219 |
| 195 | 4159×2$^{8938471}$ − 1 | 19 April 2022 | 2,690,752 |
| 196 | 273809×2$^{8932416}$ − 1 | 13 December 2017 | 2,688,931 |
| 197 | 93×2$^{8898285}$ + 1 | 4 March 2024 | 2,678,653 |
| 198 | 2×3$^{5570081}$ + 1 | 14 February 2020 | 2,657,605 |
| 199 | 25×2$^{8788628}$ + 1 | 1 March 2021 | 2,645,643 |
| 200 | 2038×366$^{1028507}$ − 1 | 4 April 2016 | 2,636,562 |
| 201 | 64598×5$^{3769854}$ − 1 | 14 June 2022 | 2,635,020 |
| 202 | 63×2$^{8741225}$ + 1 | 6 May 2024 | 2,631,373 |
| 203 | 8×785$^{900325}$ + 1 | 4 June 2022 | 2,606,325 |
| 204 | 17×2$^{8636199}$ + 1 | 17 February 2021 | 2,599,757 |
| 205 | 75898$^{524288}$ + 1 | 19 November 2011 | 2,558,647 |
| 206 | 25×2$^{8456828}$ + 1 | 27 January 2021 | 2,545,761 |
| 207 | 39×2$^{8413422}$ + 1 | 23 January 2021 | 2,532,694 |
| 208 | 31×2$^{8348000}$ + 1 | 19 January 2021 | 2,513,000 |
| 209 | 27×2$^{8342438}$ − 1 | 1 February 2021 | 2,511,326 |
| 210 | 3867×2$^{8261084}$ − 1 | 14 April 2021 | 2,486,838 |
| 211 | 101×2$^{8152967}$ + 1 | 2 December 2023 | 2,454,290 |
| 212 | 273662×5$^{3493296}$ − 1 | 7 December 2021 | 2,441,715 |
| 213 | 81×2$^{8109236}$ + 1 | 9 September 2022 | 2,441,126 |
| 214 | 11×2$^{8103463}$ + 1 | 6 March 2020 | 2,439,387 |
| 215 | 102818×5$^{3440382}$ − 1 | 8 October 2021 | 2,404,729 |
| 216 | 11×2$^{7971110}$ − 1 | 25 November 2019 | 2,399,545 |
| 217 | 27×2$^{7963247}$ + 1 | 14 January 2021 | 2,397,178 |
| 218 | 3177×2$^{7954621}$ − 1 | 13 June 2021 | 2,394,584 |
| 219 | 39×2$^{7946769}$ + 1 | 14 January 2021 | 2,392,218 |
| 220 | 7×6$^{3072198}$ + 1 | 4 August 2019 | 2,390,636 |
| 221 | 3765×2$^{7904593}$ − 1 | 10 January 2021 | 2,379,524 |
| 222 | 29×2$^{7899985}$ + 1 | 14 January 2021 | 2,378,134 |
| 223 | 5113×2$^{7895471}$ − 1 | 27 November 2022 | 2,376,778 |
| 224 | 861×2$^{7895451}$ − 1 | 21 February 2021 | 2,376,771 |
| 225 | 75×2$^{7886683}$ + 1 | 4 September 2023 | 2,374,131 |
| 226 | 2661×2$^{7861390}$ - 1 | 28 December 2024 | 2,366,518 |
| 227 | 99×2$^{7830910}$ + 1 | 24 April 2024 | 2,357,341 |
| 228 | 28433×2$^{7830457}$ + 1 | 31 December 2004 | 2,357,207 |
| 229 | 2589×2$^{7803339}$ − 1 | 21 August 2022 | 2,349,043 |
| 230 | 59×2$^{7792307}$ + 1 | 24 April 2024 | 2,345,720 |
| 231 | 101×2$^{7784453}$ + 1 | 24 April 2024 | 2,343,356 |
| 232 | 95×2$^{7778585}$ + 1 | 24 April 2024 | 2,341,590 |
| 233 | 8401×2$^{7767655}$ − 1 | 24 April 2023 | 2,338,302 |
| 234 | 9693×2$^{7767343}$ − 1 | 17 November 2023 | 2,338,208 |
| 235 | 5×2$^{7755002}$ − 1 | 23 September 2021 | 2,334,489 |
| 236 | 2945×2$^{7753232}$ − 1 | 27 November 2022 | 2,333,959 |
| 237 | 2×836$^{798431}$ + 1 | 10 September 2024 | 2,333,181 |
| 238 | 63×2$^{7743186}$ + 1 | 24 April 2024 | 2,330,934 |
| 239 | 2545×2$^{7732265}$ − 1 | 13 January 2021 | 2,327,648 |
| 240 | 5539×2$^{7730709}$ − 1 | 15 January 2021 | 2,327,180 |
| 241 | 4817×2$^{7719584}$ − 1 | 13 June 2021 | 2,323,831 |
| 242 | 183×558$^{842752}$ + 1 | 23 August 2024 | 2,314,734 |
| 243 | 1341174×53$^{1341174}$ + 1 | 21 August 2017 | 2,312,561 |
| 244 | 9467×2$^{7680034}$ − 1 | 20 February 2022 | 2,311,925 |
| 245 | 45×2$^{7661004}$ + 1 | 13 December 2020 | 2,306,194 |
| 246 | 15×2$^{7619838}$ + 1 | 6 December 2020 | 2,293,801 |
| 247 | 3597×2$^{7580693}$ − 1 | 10 January 2021 | 2,282,020 |
| 248 | 5256037# + 1 | 6 August 2024 | 2,281,955 |
| 249 | 3129×2$^{7545557}$ − 1 | 14 March 2023 | 2,271,443 |
| 250 | 7401×2$^{7523295}$ − 1 | 21 February 2021 | 2,264,742 |
| 251 | 45×2$^{7513661}$ + 1 | 12 November 2020 | 2,261,839 |
| 252 | $\Phi _{3}(-558640^{196608})$ | 11 January 2017 | 2,259,865 |
| 253 | 9×2$^{7479919}$ − 1 | 3 June 2023 | 2,251,681 |
| 254 | 1875×2$^{7474308}$ − 1 | 21 August 2022 | 2,249,995 |
| 255 | 69×2$^{7452023}$ + 1 | 23 March 2023 | 2,243,285 |
| 256 | 1281879×2$^{7447178}$ + 1 | 27 December 2023 | 2,241,831 |
| 257 | 4×5$^{3189669}$ − 1 | 12 July 2022 | 2,229,484 |
| 258 | 29×2$^{7374577}$ + 1 | 27 October 2020 | 2,219,971 |
| 259 | 2653×2$^{7368343}$ − 1 | 18 September 2024 | 2,218,096 |
| 260 | 21555×2$^{7364128}$ − 1 | 4 September 2024 | 2,216,828 |
| 261 | 3197×2$^{7359542}$ − 1 | 27 November 2022 | 2,215,447 |
| 262 | 109838×5$^{3168862}$ − 1 | 13 August 2020 | 2,214,945 |
| 263 | 95×2$^{7354869}$ + 1 | 25 September 2023 | 2,214,039 |
| 264 | 101×2$^{7345194}$ − 1 | 5 October 2019 | 2,211,126 |
| 265 | 85×2$^{7333444}$ + 1 | 25 September 2023 | 2,207,589 |
| 266 | 15×2$^{7300254}$ + 1 | 25 October 2020 | 2,197,597 |
| 267 | 422429! + 1 | 21 February 2022 | 2,193,027 |
| 268 | 1759×2$^{7284439}$ − 1 | 28 August 2021 | 2,192,838 |
| 269 | 1909683×14$^{1909683}$ + 1 | 27 May 2023 | 2,188,748 |
| 270 | 737×2$^{7269322}$ − 1 | 10 August 2017 | 2,188,287 |
| 271 | 6909×2$^{7258896}$ − 1 | 18 September 2024 | 2,185,150 |
| 272 | 93×2$^{7241494}$ + 1 | 25 September 2023 | 2,179,909 |
| 273 | 118568×5$^{3112069}$ + 1 | 1 May 2020 | 2,175,248 |
| 274 | 4215×2$^{7221386}$ − 1 | 27 December 2024 | 2,173,858 |
| 275 | 40×257$^{901632}$ + 1 | 11 September 2024 | 2,172,875 |
| 276 | 580633×2$^{7208783}$ − 1 | 15 February 2024 | 2,170,066 |
| 277 | 6039×2$^{7207973}$ − 1 | 24 March 2021 | 2,169,820 |
| 278 | 502573×2$^{7181987}$ − 1 | 4 October 2014 | 2,162,000 |
| 279 | 402539×2$^{7173024}$ − 1 | 2 October 2014 | 2,159,301 |
| 280 | 3343×2$^{7166019}$ − 1 | 29 September 2016 | 2,157,191 |
| 281 | 161041×2$^{7107964}$ + 1 | 6 January 2015 | 2,139,716 |
| 282 | 294×213$^{918952}$ – 1 | 19 September 2023 | 2,139,672 |
| 283 | 27×2$^{7046834}$ + 1 | 11 October 2018 | 2,121,310 |
| 284 | 1759×2$^{7046791}$ − 1 | 28 August 2021 | 2,121,299 |
| 285 | 327×2$^{7044001}$ − 1 | 13 January 2021 | 2,120,459 |
| 286 | 5×2$^{7037188}$ − 1 | 22 September 2021 | 2,118,406 |
| 287 | 3×2$^{7033641}$ + 1 | 21 February 2011 | 2,117,338 |
| 288 | 625783×2$^{7031319}$ − 1 | 10 February 2024 | 2,116,644 |
| 289 | 33661×2$^{7031232}$ + 1 | 30 October 2007 | 2,116,617 |
| 290 | $\Phi _{3}(-237804^{196608})$ | 6 January 2017 | 2,114,016 |
| 291 | 207494×5$^{3017502}$ – 1 | 16 March 2020 | 2,109,149 |
| 292 | 15×2$^{6993631}$ – 1 | 25 August 2021 | 2,105,294 |
| 293 | 8943501×2$^{6972593}$ – 1 | 8 January 2022 | 2,098,967 |
| 294 | 6020095×2$^{6972593}$ – 1 | 4 September 2022 | 2,098,967 |
| 295 | 2$^{6972593}$ – 1 | 1 June 1999 | 2,098,960 |
| 296 | 273×2$^{6963847}$ – 1 | 16 November 2022 | 2,096,330 |
| 297 | 6219×2$^{6958945}$ – 1 | 7 January 2021 | 2,094,855 |
| 298 | 51×2$^{6945567}$ + 1 | 26 May 2020 | 2,090,826 |
| 299 | 3323×2$^{6921196}$ – 1 | 18 September 2024 | 2,083,492 |
| 300 | 238694×5$^{2979422}$ – 1 | 12 March 2020 | 2,082,532 |
| 301 | 4×72$^{1119849}$ − 1 | 7 September 2016 | 2,079,933 |
| 302 | 33×2$^{6894190}$ – 1 | 27 July 2021 | 2,075,360 |
| 303 | 4778027# − 1 | 31 July 2024 | 2,073,926 |
| 304 | 2345×2$^{6882320}$ – 1 | 13 April 2022 | 2,071,789 |
| 305 | 57×2$^{6857990}$ + 1 | 17 August 2023 | 2,064,463 |
| 306 | 146264×5$^{2953282}$ – 1 | 9 March 2020 | 2,064,261 |
| 307 | 69×2$^{6838971}$ – 1 | 1 March 2020 | 2,058,738 |
| 308 | 35816×5$^{2945294}$ – 1 | 5 March 2020 | 2,058,677 |
| 309 | 127×2$^{6836153}$ – 1 | 25 June 2018 | 2,057,890 |
| 310 | 19×2$^{6833086}$ + 1 | 24 October 2020 | 2,056,966 |
| 311 | 65×2$^{6810465}$ + 1 | 22 September 2023 | 2,050,157 |
| 312 | 40597×2$^{6808509}$ – 1 | 25 December 2013 | 2,049,571 |
| 313 | 283×2$^{6804701}$ – 1 | 19 January 2020 | 2,048,431 |
| 314 | 1861209×2$^{6789999}$ + 1 | 2 December 2020 | 2,044,000 |
| 315 | 5817×2$^{6789459}$ – 1 | 9 January 2021 | 2,043,835 |
| 316 | 8435×2$^{6786180}$ – 1 | 7 January 2021 | 2,042,848 |
| 317 | 51×2$^{6753404}$ + 1 | 26 May 2020 | 2,032,979 |
| 318 | 93×2$^{6750726}$ + 1 | 18 September 2023 | 2,032,173 |
| 319 | 69×2$^{6745775}$ + 1 | 21 March 2023 | 2,030,683 |
| 320 | 51992174$^{262144}$ + 1 | 16 March 2025 | 2,022,687 |
| 321 | 51852794$^{262144}$ + 1 | 14 March 2025 | 2,022,382 |
| 322 | 51714136$^{262144}$ + 1 | 13 March 2025 | 2,022,077 |
| 323 | 51283286$^{262144}$ + 1 | 9 March 2025 | 2,021,124 |
| 324 | 51125138$^{262144}$ + 1 | 7 March 2025 | 2,020,773 |
| 325 | 9995×2$^{6711008}$ – 1 | 31 December 2020 | 2,020,219 |
| 326 | 50454356$^{262144}$ + 1 | 1 March 2025 | 2,019,269 |
| 327 | 50449664$^{262144}$ + 1 | 28 February 2025 | 2,019,259 |
| 328 | 50366208$^{262144}$ + 1 | 28 February 2025 | 2,019,070 |
| 329 | 50121532$^{262144}$ + 1 | 27 February 2025 | 2,018,516 |
| 330 | 49536902$^{262144}$ + 1 | 25 February 2025 | 2,017,180 |
| 331 | 49235348$^{262144}$ + 1 | 23 February 2025 | 2,016,485 |
| 332 | 49209090$^{262144}$ + 1 | 23 February 2025 | 2,016,424 |
| 333 | 48055302$^{262144}$ + 1 | 18 February 2025 | 2,013,723 |
| 334 | 47707672$^{262144}$ + 1 | 16 February 2025 | 2,012,896 |
| 335 | 39×2$^{6684941}$ + 1 | 20 October 2020 | 2,012,370 |
| 336 | 47351862$^{262144}$ + 1 | 15 February 2025 | 2,012,044 |
| 337 | 47281922$^{262144}$ + 1 | 13 February 2025 | 2,011,876 |
| 338 | 47255958$^{262144}$ + 1 | 13 February 2025 | 2,011,813 |
| 339 | 6679881×2$^{6679881}$ + 1 | 25 July 2009 | 2,010,852 |
| 340 | 46831458$^{262144}$ + 1 | 11 February 2025 | 2,010,786 |
| 341 | 46378776$^{262144}$ + 1 | 8 February 2025 | 2,009,680 |
| 342 | 45073202$^{262144}$ + 1 | 21 January 2025 | 2,006,469 |
| 343 | 45007104$^{262144}$ + 1 | 19 January 2025 | 2,006,202 |
| 344 | 44819108$^{262144}$ + 1 | 14 January 2025 | 2,005,786 |
| 345 | 44666524$^{262144}$ + 1 | 12 January 2025 | 2,005,397 |
| 346 | 37×2$^{6660841}$ − 1 | 30 July 2014 | 2,005,115 |
| 347 | 44144624$^{262144}$ + 1 | 29 December 2024 | 2,004,059 |
| 348 | 44030166$^{262144}$ + 1 | 30 December 2024 | 2,003,764 |
| 349 | 43330794$^{262144}$ + 1 | 3 December 2024 | 2,001,941 |
| 350 | 39×2$^{6648997}$ + 1 | 20 October 2020 | 2,001,550 |
| 351 | 42781592$^{262144}$ + 1 | 18 November 2024 | 2,000,489 |
| 352 | 10$^{2000007}$ – 10$^{1127194}$ – 10$^{872812}$ – 1 | 12 January 2024 | 2,000,007 |
| 353 | 10$^{2000005}$ – 10$^{1051046}$ – 10$^{948958}$ – 1 | 6 January 2024 | 2,000,005 |

## Largest known probable primes (PRPs)

These are probable primes. Primality has not been proven because it is too hard for general numbers of this size but they are expected to be primes. F(n) is the nth Fibonacci number.
| Rank | Number | Discovery date | Decimal digits |
| 1 | ${\tfrac {10^{8177207}-1}{9}}$ | 8 May 2021 | 8,177,207 |
| 2 | ${\tfrac {10^{5794777}-1}{9}}$ | 20 April 2021 | 5,794,777 |
| 3 | ${\tfrac {2^{15135397}+1}{3}}$ | June 2021 | 4,556,209 |
| 4 | ${\tfrac {3^{8530117}-1}{2}}$ | November 2023 | 4,069,900 |
| 5 | 2$^{13380298}$ – 27 | March 2021 | 4,027,872 |
| 6 | ${\tfrac {2^{13372531}+1}{3}}$ | September 2013 | 4,025,533 |
| 7 | ${\tfrac {2^{13347311}+1}{3}}$ | September 2013 | 4,017,941 |
| 8 | ${\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}$ | 3 July 2022 | 3,829,294 |
| 9 | ${\tfrac {3^{7973131}-1}{2}}$ | November 2023 | 3,804,150 |
| 10 | ${\tfrac {2^{12588091}-1}{32075464348897282169539424801}}$ | 10 April 2023 | 3,789,365 |
| 11 | ${\tfrac {2^{12503723}-2^{6251862}+1}{5}}$ | July 2020 | 3,763,995 |
| 12 | ${\tfrac {5^{5154509}-1}{4}}$ | February 2024 | 3,602,847 |
| 13 | ${\tfrac {5^{4939471}-1}{4}}$ | January 2024 | 3,452,542 |
| 14 | ${\tfrac {3^{7034611}+1}{4}}$ | December 2024 | 3,356,362 |
| 15 | ${\tfrac {2^{10443557}-1}{37289325994807}}$ | 9 July 2020 | 3,143,811 |
| 16 | 2$^{9092392}$ + 40291 | February 2011 | 2,737,083 |
| 17 | ${\tfrac {6^{3360347}-1}{5}}$ | October 2023 | 2,614,858 |
| 18 | ${\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}$ | 3 June 2024 | 2,482,834 |
| 19 | ${\tfrac {17^{1990523}-1}{16}}$ | August 2020 | 2,449,236 |
| 20 | ${\tfrac {35963^{524288}+1}{2}}$ | August 2022 | 2,388,581 |
| 21 | 500186$^{54465}$ + 54465$^{500186}$ | August 2024 | 2,368,940 |
| 22 | ${\tfrac {11^{2264611}+1}{12}}$ | July 2021 | 2,358,349 |
| 23 | ${\tfrac {5^{3300593}-1}{4}}$ | February 2022 | 2,307,015 |
| 24 | ${\tfrac {3^{4694803}+2^{4694803}}{5}}$ | December 2023 | 2,239,990 |
| 25 | ${\tfrac {2^{7313983}-1}{305492080276193}}$ | 1 March 2018 | 2,201,714 |
| 26 | ${\tfrac {3^{4571447}+2^{4571447}}{5}}$ | December 2023 | 2,181,134 |
| 27 | ${\tfrac {15^{1848811}+1}{16}}$ | July 2024 | 2,174,370 |
| 28 | F(10367321) | 10 August 2024 | 2,166,642 |
| 29 | ${\tfrac {15^{1841911}+1}{16}}$ | July 2024 | 2,166,255 |
| 30 | 3$^{4532794}$ + 4532794$^3$ | October 2023 | 2,162,693 |
| 31 | F(10317107) | 27 July 2024 | 2,156,148 |
| 32 | ${\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}$ | 27 October 2017 | 2,131,318 |
| 33 | 360834$^{356345}$ + 356345$^{360834}$ | February 2024 | 2,003,304 |
| 34 | 360339$^{356572}$ + 356572$^{360339}$ | May 2024 | 2,000,656 |