List of largest known primes and probable primes

Last updated

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.

Contents

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 is the third cyclotomic polynomial, defined as .

Rank [1] [2] NumberDiscovery dateDecimal digits
12136279841 − 1
[3]
12 October 202441,024,320
2282589933 − 1
[4]
7 December 201824,862,048
3277232917 − 1
[5]
26 December 201723,249,425
4274207281 − 1
[6]
7 January 201622,338,618
5257885161 − 1
[7]
25 January 201317,425,170
625241902097152 + 1
[8]
12 October 202513,426,224
7243112609 − 1
[9]
23 August 200812,978,189
8242643801 − 1 4 June 200912,837,064
92 October 202311,981,518
1031 May 202311,887,192
11237156667 − 1
[9]
6 September 200811,185,272
12232582657 − 1 4 September 20069,808,358
1310223×231172165 + 1 31 October 20169,383,761
14230402457 − 1 15 December 20059,152,052
154×511786358 + 11 October 20248,238,312
16225964951 − 1 18 February 20057,816,230
174052186×694052186 + 116 April 20257,451,366
1869×224612729 − 113 August 20247,409,172
19224036583 − 1 15 May 20047,235,733
2053362841048576 + 1 31 October 20257,054,022
21107347×223427517 − 14 August 20247,052,391
223×223157875 − 125 June 20256,971,216
2338432361048576 + 1 17 December 20246,904,556
243×222103376 − 130 September 20246,653,780
2519637361048576 + 1 24 September 20226,598,776
2619517341048576 + 1 9 August 20226,595,985
27202705×221320516 + 1 25 November 20216,418,121
28220996011 − 1 17 November 20036,320,430
2910590941048576 + 1 31 October 20186,317,602
303×220928756 − 15 July 20236,300,184
319194441048576 + 1 29 August 20176,253,210
3281×220498148 + 113 June 20236,170,560
337×220267500 + 121 July 20226,101,127
344×58431178 + 12 January 20245,893,142
35168451×219375200 + 1 17 September 20175,832,522
3669×219374980 − 13 July 20225,832,452
373×218924888 − 124 March 20225,696,990
3869×218831865 − 116 December 20215,668,959
392×311879700 + 122 June 20245,668,058
4097139×218397548 − 123 April 20235,538,219
417×218233956 + 11 October 20205,488,969
423×218196595 − 18 January 20225,477,722
434×311279466 + 110 September 20245,381,674
443×217748034 − 1 6 September 20215,342,692
4523 February 20175,338,805
463622×57558139 − 118 February 20225,282,917
477×66772401 + 19 September 20195,269,954
482×310852677 + 18 January 20235,178,044
498508301×217016603 − 1 21 March 20185,122,515
508×105112848 − 130 January 20245,112,848
5113×216828072 + 111 October 20235,065,756
523×216819291 − 1 20 January 20215,063,112
535287180×310574360 − 13 November 20245,045,259
543×216408818 + 1 25 October 20204,939,547
552329989×216309923 − 113 February 20244,909,783
5669×215866556 + 120 August 20214,776,312
572036×310009192 + 115 February 20244,775,602
582525332×732525332 + 128 August 20214,705,888
591419499×215614489 + 19 February 20244,700,436
6011×215502315 + 18 January 20234,666,663
61(102332974 + 1)2 − 220 February 20244,665,949
6237×215474010 + 18 November 20224,658,143
6393839×215337656 − 128 November 20224,617,100
64215317227+27658614 + 131 July 20204,610,945
6513×215294536 + 130 September 20234,604,116
666×56546983 + 113 June 20204,576,146
674788920×39577840 − 114 February 20244,569,798
6831×215145093 − 19 February 20254,559,129
6969×214977631 − 13 December 20214,508,719
70192971×214773498 − 17 March 20214,447,272
714×39214845 + 110 September 20244,396,600
729145334×39145334 + 125 December 20234,363,441
734×56181673 − 115 July 20224,320,805
74396101×214259638 − 13 February 20244,292,585
756962×312863120 − 129 February 20204,269,952
7637×214166940 + 124 June 20224,264,676
7799739×214019102 + 1 24 December 20194,220,176
7869×213832885 − 117 January 20224,164,116
799562633# + 125 June 20254,151,498
80404849×213764867 + 110 March 20214,143,644
8125×213719266 + 120 September 20224,129,912
8281×213708272 + 111 October 20224,126,603
832740879×213704395 − 126 October 20194,125,441
84479216×38625889 − 116 November 20194,115,601
8513×213584543 − 130 May 20254,089,357
8631×213514933 − 19 February 20254,068,402
8730 January 20174,055,114
8881×213470584 + 19 October 20224,055,052
89213466917 − 1 14 November 20014,053,946
905778486×55778486 + 115 August 20244,038,996
919×213334487 + 131 March 20204,014,082
92206039×213104952 − 126 April 20213,944,989
932805222×55610444 + 1 2 September 20193,921,539
945128×222919993 + 15 December 20243,919,869
9519249×213018586 + 126 March 20073,918,990
962293×212918431 − 113 February 20213,888,839
9781×212804541 + 119 September 20223,854,553
9867612×55501582 + 18 April 20253,845,446
9918529322524288 + 130 November 20253,810,452
10018099898524288 + 11 September 20253,805,113
10117997078524288 + 120 November 20253,803,816
10217544674524288 + 126 October 20253,798,019
10317502532524288 + 124 October 20253,797,471
10417445908524288 + 119 October 20253,796,734
10517177670524288 + 15 October 20253,793,205
10616211276524288 + 19 August 20253,780,021
10715958750524288 + 115 July 20253,776,446
10815852200524288 + 18 July 20253,774,921
1094×55380542 + 122 February 20233,760,839
11013520762524288 + 125 February 20253,738,699
11113427472524288 + 13 March 20253,737,122
1129×212406887 + 129 March 20203,734,847
11312900356524288 + 122 January 20253,728,004
11412693488524288 + 16 January 20253,724,323
11511937916524288 + 15 October 20243,710,349
1167×212286041 − 110 June 20233,698,468
11710913140524288 + 119 June 20243,689,913
11869×212231580 − 127 July 20213,682,075
11927×212184319 + 16 February 20213,667,847
1209332124524288 + 122 June 20243,654,278
1218630170524288 + 113 April 20243,636,472
122863282×55179692 − 117 October 20243,620,456
123670490×123352450 − 117 October 20243,617,907
1244×37578378 + 19 September 20243,615,806
12511×211993994 − 115 August 20243,610,554
1263761×211978874 − 16 July 20223,606,004
12795×211954552 − 128 May 20243,598,681
128259072×55136295 − 128 October 20243,590,122
1293×211895718 − 1 23 June 20153,580,969
13037×211855148 + 130 May 20223,568,757
1316339004524288 + 18 June 20233,566,218
132763795×64582771 + 111 December 20233,566,095
1335897794524288 + 118 December 20223,549,792
1343×211731850 − 113 March 20153,531,640
13569×211718455 − 14 December 20203,527,609
1368629×211708579 − 119 September 20243,524,638
13741×211676439 + 120 June 20223,514,960
1384896418524288 + 115 May 20223,507,424
13981×211616017 + 130 August 20223,496,772
14069×211604348 − 14 December 20203,493,259
1414450871×64450871 + 117 September 20233,463,458
1429×211500843 + 113 March 20203,462,100
1433×211484018 − 122 November 20143,457,035
144193997×211452891 + 13 April 20183,447,670
14529914×54930904 + 127 September 20243,446,559
1463638450524288 + 129 May 20203,439,810
1479221×211392194 − 17 February 20213,429,397
1489×211366286 + 126 March 20203,421,594
1495×211355764 − 12 October 20213,418,427
150732050×64392301 + 19 September 20233,417,881
15110 November 20253,415,412
1523214654524288 + 124 December 20193,411,613
153632760! − 120 October 20243,395,992
154146561×211280802 − 116 November 20203,395,865
15551208×54857576 + 16 June 20243,395,305
1562985036524288 + 118 September 20193,394,739
1574591×211270837 − 12 January 20253,392,864
1586929×211255424 − 17 July 20223,388,225
1592877652524288 + 129 June 20193,386,397
1602788032524288 + 117 April 20193,379,193
1612733014524288 + 118 March 20193,374,655
1624 December 20253,366,518
1639×211158963 + 113 March 20203,359,184
1649271×211134335 − 117 January 20213,351,773
165136804×54777253 − 11 March 20243,339,162
1662312092524288 + 14 August 20183,336,572
167987324×481974648 − 112 October 20243,319,866
1682061748524288 + 120 March 20183,310,478
1691880370524288 + 115 January 20183,289,511
17027×210902757 − 17 March 20223,282,059
1713×210829346 + 114 January 20143,259,959
17211×210803449 + 129 May 20223,252,164
17311×210797109 + 129 May 20223,250,255
1747×210612737 − 119 May 20223,194,154
1757351117# + 114 September 20243,191,401
17637×210599476 + 117 June 20223,190,762
1775×210495620 − 126 September 20213,159,498
17830 June 20233,153,105
1795×210349000 − 126 September 20213,115,361
18017 January 20173,107,335
18117×210248660 − 18 August 20253,085,156
18252922×54399812 − 13 August 20233,075,342
18314 January 20173,068,389
184177742×54386703 − 124 July 20233,066,180
1854×36402015 + 19 September 20243,054,539
186874208×541748416 − 126 September 20193,028,951
187475856524288 + 18 August 20122,976,633
1882×36236772 + 120 December 20222,975,697
18915×39830108 + 119 August 20232,959,159
1909×29778263 + 15 August 20202,943,552
191198×5581061348 + 130 August 20242,915,138
1921806676×411806676 + 111 March 20182,913,785
193356926524288 + 120 June 20122,911,151
194341112524288 + 115 June 20122,900,832
195213988×54138363 − 129 November 20222,892,597
19643×29596983 − 128 February 20222,888,982
197121×29584444 + 118 November 20202,885,208
19815×29482269 − 114 August 20242,854,449
1996533299# − 118 August 20242,835,864
20011×29381365 + 17 March 20202,824,074
20115×29312889 + 17 August 20232,803,461
20297×29305542 + 110 May 20252,801,250
20393×29235048 + 17 May 20252,780,029
20449×29187790 + 111 September 20222,765,803
2056369619# + 112 August 20242,765,105
20627653×29167433 + 18 June 20052,759,677
2076354977# − 112 August 20242,758,832
20890527×29162167 + 130 June 20102,758,093
2096795×29144320 − 131 March 20212,752,719
21031×29088085 − 127 August 20242,735,788
21175×29079482 + 125 July 20232,733,199
2121323365×1161323365 + 118 January 20182,732,038
21357×29075622 − 17 August 20222,732,037
214102718281 − 5×101631138 − 5×101087142 − 16 August 20242,718,281
21563838×53887851 − 119 June 20222,717,497
21613×28989858 + 110 March 20202,706,219
217271357×28943013 − 113 October 20252,692,121
2184159×28938471 − 119 April 20222,690,752
219273809×28932416 − 113 December 20172,688,931
22093×28898285 + 14 March 20242,678,653
2212×35570081 + 114 February 20202,657,605
22225×28788628 + 11 March 20212,645,643
2232038×3661028507 − 14 April 20162,636,562
22464598×53769854 − 114 June 20222,635,020
22563×28741225 + 16 May 20242,631,373
2268×785900325 + 14 June 20222,606,325
22717×28636199 + 117 February 20212,599,757
22875898524288 + 119 November 20112,558,647
22925×28456828 + 127 January 20212,545,761
23039×28413422 + 123 January 20212,532,694
23131×28348000 + 119 January 20212,513,000
23227×28342438 − 11 February 20212,511,326
23317×28330892 − 116 July 20252,507,850
2343867×28261084 − 114 April 20212,486,838
235101×28152967 + 12 December 20232,454,290
2369×28128075 − 18 July 20252,446,796
237273662×53493296 − 1 7 December 20212,441,715
23881×28109236 + 19 September 20222,441,126
23911×28103463 + 16 March 20202,439,387
240102818×53440382 − 1 8 October 20212,404,729
2419×27979119 − 18 July 20252,401,956
24211×27971110 − 125 November 20192,399,545
24327×27963247 + 114 January 20212,397,178
2443177×27954621 − 113 June 20212,394,584
24539×27946769 + 114 January 20212,392,218
2467×63072198 + 14 August 20192,390,636
2473765×27904593 − 110 January 20212,379,524
24829×27899985 + 114 January 20212,378,134
2495113×27895471 − 127 November 20222,376,778
250861×27895451 − 121 February 20212,376,771
25175×27886683 + 14 September 20232,374,131
2523243959×27862047 + 13 December 20252,366,719
2532661×27861390 − 128 December 20242,366,518
25421×27838882 − 115 August 20252,359,740
25530397×27838120 + 117 August 20252,359,514
25699×27830910 + 124 April 20242,357,341
25728433×27830457 + 131 December 20042,357,207
2582589×27803339 − 121 August 20222,349,043
25959×27792307 + 124 April 20242,345,720
260101×27784453 + 124 April 20242,343,356
26195×27778585 + 124 April 20242,341,590
2628401×27767655 − 124 April 20232,338,302
2639693×27767343 − 117 November 20232,338,208
2645×27755002 − 123 September 20212,334,489
2652945×27753232 − 127 November 20222,333,959
2662×836798431 + 110 September 20242,333,181
26763×27743186 + 124 April 20242,330,934
2682545×27732265 − 113 January 20212,327,648
2695539×27730709 − 115 January 20212,327,180
2704817×27719584 − 113 June 20212,323,831
271183×558842752 + 123 August 20242,314,734
2721341174×531341174 + 121 August 20172,312,561
2739467×27680034 − 120 February 20222,311,925
27445×27661004 + 113 December 20202,306,194
27515×27619838 + 16 December 20202,293,801
2763645×27610003 − 128 August 20252,290,843
2773597×27580693 − 110 January 20212,282,020
2785256037# + 16 August 20242,281,955
27938118498221×27552807 + 17 October 20252,273,633
2803129×27545557 − 114 March 20232,271,443
2817401×27523295 − 121 February 20212,264,742
28245×27513661 + 112 November 20202,261,839
28311 January 20172,259,865
2842739×27483537 − 11 May 20252,252,773
2859×27479919 − 13 June 20232,251,681
2861875×27474308 − 121 August 20222,249,995
28769×27452023 + 123 March 20232,243,285
2881281879×27447178 + 127 December 20232,241,831
2899107×27417464 − 13 May 20252,232,884
2904×53189669 − 112 July 20222,229,484
29119×27383785 − 111 July 20252,222,743
29229×27374577 + 127 October 20202,219,971
2932653×27368343 − 118 September 20242,218,096
29421555×27364128 − 14 September 20242,216,828
2953197×27359542 − 127 November 20222,215,447
296109838×53168862 − 113 August 20202,214,945
29795×27354869 + 125 September 20232,214,039
298101×27345194 − 15 October 20192,211,126
29985×27333444 + 125 September 20232,207,589
30015×27300254 + 125 October 20202,197,597
3016733×27285527 − 126 October 20252,193,166
302422429! + 121 February 20222,193,027
3031759×27284439 − 128 August 20212,192,838
3041909683×141909683 + 127 May 20232,188,748
305737×27269322 − 110 August 20172,188,287
3066909×27258896 − 118 September 20242,185,150
30793×27241494 + 125 September 20232,179,909
308118568×53112069 + 11 May 20202,175,248
3094215×27221386 − 127 December 20242,173,858
31040×257901632 + 111 September 20242,172,875
3111685×27213108 − 113 April 20252,171,366
312580633×27208783 − 115 February 20242,170,066
3136039×27207973 − 124 March 20212,169,820
3141871×27207954 − 126 September 20252,169,814
315502573×27181987 − 14 October 20142,162,000
316402539×27173024 − 12 October 20142,159,301
3173343×27166019 − 129 September 20162,157,191
3184137×27132569 − 111 April 20252,147,121
319161041×27107964 + 16 January 20152,139,716
320294×213918952 − 119 September 20232,139,672
32117×27101254 − 111 July 20252,137,692
32227×27046834 + 111 October 20182,121,310
3231759×27046791 − 128 August 20212,121,299
324327×27044001 − 113 January 20212,120,459
3255×27037188 − 122 September 20212,118,406
3263×27033641 + 121 February 20112,117,338
327625783×27031319 − 110 February 20242,116,644
32833661×27031232 + 130 October 20072,116,617
3296 January 20172,114,016
330207494×53017502 − 116 March 20202,109,149
33115×26993631 − 125 August 20212,105,294
3328943501×26972593 − 18 January 20222,098,967
3336020095×26972593 − 14 September 20222,098,967
33426972593 − 1 1 June 19992,098,960
335273×26963847 − 116 November 20222,096,330
3366219×26958945 − 17 January 20212,094,855
33751×26945567 + 126 May 20202,090,826
3388×102084563 − 11 June 20252,084,564
3393323×26921196 − 118 September 20242,083,492
340238694×52979422 − 112 March 20202,082,532
3414×721119849 − 17 September 20162,079,933
342129×26900230 + 15 June 20252,077,179
34333×26894190 − 127 July 20212,075,360
3444778027# − 131 July 20242,073,926
345105×26884697 + 12 June 20252,072,503
3462345×26882320 − 113 April 20222,071,789
34757×26857990 + 117 August 20232,064,463
348146264×52953282 − 19 March 20202,064,261
34973597220262144 + 125 November 20252,062,251
35073589294262144 + 124 November 20252,062,239
35173465436262144 + 121 November 20252,062,047
35273116844262144 + 113 November 20252,061,505
35372862906262144 + 19 November 20252,061,109
35472752758262144 + 14 November 20252,060,937
35572718062262144 + 14 November 20252,060,883
35672071732262144 + 122 October 20252,059,866
35771737620262144 + 118 October 20252,059,337
35871380700262144 + 113 October 20252,058,770
35969×26838971 − 11 March 20202,058,738
36035816×52945294 − 15 March 20202,058,677
36171107798262144 + 111 October 20252,058,333
362127×26836153 − 125 June 20182,057,890
363105×26835099 + 126 May 20252,057,572
36470520422262144 + 129 September 20252,057,389
36570349734262144 + 127 September 20252,057,113
36619×26833086 + 124 October 20202,056,966
36769844790262144 + 122 September 20252,056,293
36869810332262144 + 122 September 20252,056,237
36969290228262144 + 120 September 20252,055,386
37069170386262144 + 113 September 20252,055,189
37168717884262144 + 130 August 20252,054,441
37268000464262144 + 110 August 20252,053,246
37367886950262144 + 19 August 20252,053,056
37467673558262144 + 15 August 20252,052,698
37567535128262144 + 12 August 20252,052,465
37667433562262144 + 12 August 20252,052,293
37767167678262144 + 124 July 20252,051,844
37867141518262144 + 124 July 20252,051,799
37967062340262144 + 122 July 20252,051,665
38066498472262144 + 18 July 20252,050,704
38166342922262144 + 14 July 20252,050,437
38266266188262144 + 13 July 20252,050,305
38365×26810465 + 122 September 20232,050,157
38440597×26808509 − 125 December 20132,049,571
385283×26804701 − 119 January 20202,048,431
38665136498262144 + 120 June 20252,048,348
38764989720262144 + 118 June 20252,048,091
38864074894262144 + 130 May 20252,046,447
38964010198262144 + 130 May 20252,046,362
39063833640262144 + 127 May 20252,046,047
3918×102045966 − 131 May 20252,045,967
39263784742262144 + 126 May 20252,045,960
39363558122262144 + 127 May 20252,045,555
39463448958262144 + 122 May 20252,045,359
39563286690262144 + 119 May 20252,045,068
39662767176262144 + 19 May 20252,044,129
39762747994262144 + 19 May 20252,044,095
3981861209×26789999 + 12 December 20202,044,000
3995817×26789459 − 19 January 20212,043,835
40062311952262144 + 13 May 20252,043,301
40162199610262144 + 15 May 20252,043,095
40262152830262144 + 11 May 20252,043,010
40362136706262144 + 12 May 20252,042,980
4048435×26786180 − 17 January 20212,042,848
40561238184262144 + 121 April 20252,041,322
406119×26777781 + 118 May 20252,040,318
40759145944262144 + 129 March 20252,037,364
40858936230262144 + 128 March 20252,036,960
40958870004262144 + 128 March 20252,036,832
41058846688262144 + 128 March 20252,036,787
41158333324262144 + 128 March 20252,035,789
41258288282262144 + 128 March 20252,035,701
41357643582262144 + 128 March 20252,034,435
41457594478262144 + 128 March 20252,034,338
41557478518262144 + 128 March 20252,034,108
41657429230262144 + 127 March 20252,034,111
41751×26753404 + 126 May 20202,032,979
41893×26750726 + 118 September 20232,032,173
41956303352262144 + 127 March 20252,031,757
42056295176262144 + 126 March 20252,031,740
42155952434262144 + 126 March 20252,031,045
42255892864262144 + 127 March 20252,030,920
42369×26745775 + 121 March 20232,030,683
42455702322262144 + 127 March 20252,030,535
42555695224262144 + 125 March 20252,030,520
42655169618262144 + 125 March 20252,029,441
42755007338262144 + 125 March 20252,029,105
42854852328262144 + 125 March 20252,028,784
42954528918262144 + 126 March 20252,028,111
43054044092262144 + 124 March 20252,027,094
43153903472262144 + 124 March 20252,026,797
43253750036262144 + 124 March 20252,026,473
43353616962262144 + 128 March 20252,026,191
43453311612262144 + 124 March 20252,025,540
4354681×26728157 − 125 August 20252,025,381
43653008094262144 + 123 March 20252,024,890
43752648144262144 + 121 March 20252,024,115
43852599274262144 + 120 March 20252,024,009
43952592976262144 + 121 March 20252,023,995
440117×26719464 + 110 May 20252,022,763
44151992174262144 + 116 March 20252,022,687
44251852794262144 + 114 March 20252,022,382
44351714136262144 + 113 March 20252,022,077
44451283286262144 + 19 March 20252,021,124
44551125138262144 + 17 March 20252,020,773
4469995×26711008 − 131 December 20202,020,219
44750454356262144 + 11 March 20252,019,269
44850449664262144 + 128 February 20252,019,259
44950366208262144 + 128 February 20252,019,070
45050121532262144 + 127 February 20252,018,516
45149536902262144 + 125 February 20252,017,180
45249235348262144 + 123 February 20252,016,485
45349209090262144 + 123 February 20252,016,424
45448055302262144 + 118 February 20252,013,723
45547707672262144 + 116 February 20252,012,896
45639×26684941 + 120 October 20202,012,370
45747351862262144 + 115 February 20252,012,044
45847281922262144 + 113 February 20252,011,876
45947255958262144 + 113 February 20252,011,813
4606679881×26679881 + 125 July 20092,010,852
46146831458262144 + 111 February 20252,010,786
46246378776262144 + 18 February 20252,009,680
46345073202262144 + 121 January 20252,006,469
46445007104262144 + 119 January 20252,006,202
46544819108262144 + 114 January 20252,005,786
46644666524262144 + 112 January 20252,005,397
46737×26660841 − 130 July 20142,005,115
46844144624262144 + 129 December 20242,004,059
46944030166262144 + 130 December 20242,003,764
47043330794262144 + 13 December 20242,001,941
47139×26648997 + 120 October 20202,001,550
47242781592262144 + 118 November 20242,000,489
473102000007 − 101127194 − 10872812 − 112 January 20242,000,007
474102000005 − 101051046 − 10948958 − 16 January 20242,000,005

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 [120] NumberDiscovery dateDecimal digits
18 May 20218,177,207
219 April 20215,794,777
3June 20214,556,209
4November 20234,069,900
5213380298 − 27March 20214,027,872
6September 20134,025,533
7September 20134,017,941
83 July 20223,829,294
9November 20233,804,150
1010 April 20233,789,365
11July 20203,763,995
12February 20243,602,847
13January 20243,452,542
14December 20243,356,362
159 July 20203,143,811
1629092392 + 40291February 20112,737,083
17June 20252,644,652
18October 20232,614,858
19 F(11964299)28 June 20252,500,391
203 June 20242,482,834
21August 20202,449,236
22August 20222,388,581
2350018654465 + 54465500186August 20242,368,940
24July 20212,358,349
25February 20222,307,015
26December 20232,239,990
271 March 20182,201,714
28December 20232,181,134
29July 20242,174,370
30 F(10367321)10 August 20242,166,642
31July 20242,166,255
3234532794 + 45327943October 20232,162,693
33 F(10317107)27 July 20242,156,148
3427 October 20172,131,318
35360834356345 + 356345360834February 20242,003,304
36360339356572 + 356572360339May 20242,000,656

See also

References

  1. ↑ Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)" . Retrieved 23 November 2018.
  2. ↑ The known primes with 2,000,000 digits or more
  3. ↑ "Official press release of 52nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 21 October 2024.
  4. ↑ "Official press release of 51st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 December 2018.
  5. ↑ "Official press release of 50th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 26 December 2017.
  6. ↑ "Official press release of 49th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 January 2016.
  7. ↑ "Official press release of 48th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  8. ↑ Official announcement of discovery of 25241902097152 + 1, PrimeGrid
  9. 1 2 "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.
  10. ↑ "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  11. ↑ "PrimePage Primes: Phi(3, - 516693^1048576)". t5k.org. Retrieved 18 October 2024.
  12. ↑ "PrimePage Primes: Phi(3, - 465859^1048576)". t5k.org. Retrieved 18 October 2024.
  13. ↑ "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  14. ↑ Official announcement of discovery of 10223×231172165 + 1, PrimeGrid
  15. ↑ "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  16. ↑ "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  17. ↑ Official announcement of discovery of 4052186×694052186 + 1, PrimeGrid
  18. ↑ "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  19. ↑ Official announcement of discovery of 53362841048576 + 1, PrimeGrid
  20. ↑ Official announcement of discovery of 3×223157875 − 1, PrimeGrid
  21. ↑ Official announcement of discovery of 38432361048576 + 1, PrimeGrid
  22. ↑ Official announcement of discovery of 3×222103376 − 1, PrimeGrid
  23. ↑ Official announcement of discovery of 19637361048576 + 1, PrimeGrid
  24. ↑ Official announcement of discovery of 19517341048576 + 1, PrimeGrid
  25. ↑ Official announcement of discovery of 202705×221320516 + 1, PrimeGrid
  26. ↑ "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  27. ↑ Official announcement of discovery of 10590941048576 + 1, PrimeGrid
  28. ↑ Official announcement of discovery of 3×220928756 − 1, PrimeGrid
  29. ↑ Official announcement of discovery of 9194441048576 + 1, PrimeGrid
  30. ↑ Official announcement of discovery of 168451×219375200 + 1, PrimeGrid
  31. ↑ Official announcement of discovery of 3×218924888 − 1, PrimeGrid
  32. ↑ Official announcement of discovery of 3×218196595 − 1, PrimeGrid
  33. ↑ Official announcement of discovery of 3×217748034 − 1, PrimeGrid
  34. ↑ Official announcement of discovery of 8508301×217016603 − 1, PrimeGrid
  35. ↑ Official announcement of discovery of 3×216819291 − 1, PrimeGrid
  36. ↑ Official announcement of discovery of 3×216408818 + 1, PrimeGrid
  37. ↑ Official announcement of discovery of 2525332×732525332 + 1, PrimeGrid
  38. ↑ Official announcement of discovery of 99739×214019102 + 1, PrimeGrid
  39. ↑ "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  40. ↑ Official announcement of discovery of 2805222×55610444 + 1, PrimeGrid
  41. 1 2 3 4 5 6 7 8 9 10 11 Chris Caldwell, The Largest Known Primes at The PrimePages.
  42. ↑ Official announcement of discovery of 67612×55501582 + 1, PrimeGrid
  43. ↑ Official announcement of discovery of 18529322524288 + 1, PrimeGrid
  44. ↑ Official announcement of discovery of 17997078524288 + 1, PrimeGrid
  45. ↑ Official announcement of discovery of 17544674524288 + 1, PrimeGrid
  46. ↑ Official announcement of discovery of 17502532524288 + 1, PrimeGrid
  47. ↑ Official announcement of discovery of 17177670524288 + 1, PrimeGrid
  48. ↑ Official announcement of discovery of 17177670524288 + 1, PrimeGrid
  49. ↑ Official announcement of discovery of 16211276524288 + 1, PrimeGrid
  50. ↑ Official announcement of discovery of 15958750524288 + 1, PrimeGrid
  51. ↑ Official announcement of discovery of 15852200524288 + 1, PrimeGrid
  52. ↑ Official announcement of discovery of 13520762524288 + 1, PrimeGrid
  53. ↑ Official announcement of discovery of 13427472524288 + 1, PrimeGrid
  54. ↑ Official announcement of discovery of 12900356524288 + 1, PrimeGrid
  55. ↑ Official announcement of discovery of 12693488524288 + 1, PrimeGrid
  56. ↑ Official announcement of discovery of 11937916524288 + 1, PrimeGrid
  57. ↑ Official announcement of discovery of 10913140524288 + 1, PrimeGrid
  58. ↑ Official announcement of discovery of 9332124524288 + 1, PrimeGrid
  59. ↑ Official announcement of discovery of 8630170524288 + 1, PrimeGrid
  60. ↑ Official announcement of discovery of 3×211895718−1, PrimeGrid
  61. ↑ Official announcement of discovery of 6339004524288 + 1, PrimeGrid
  62. ↑ Official announcement of discovery of 3×211731850 − 1, PrimeGrid
  63. ↑ Official announcement of discovery of 4896418524288 + 1, PrimeGrid
  64. ↑ Official announcement of discovery of 3×211484018 − 1, PrimeGrid
  65. ↑ Official announcement of discovery of 193997×211452891 + 1, PrimeGrid
  66. ↑ Official announcement of discovery of 3638450524288 + 1, PrimeGrid
  67. ↑ Official announcement of discovery of 9221×211392194 − 1, PrimeGrid
  68. ↑ Official announcement of discovery of 3214654524288 + 1, PrimeGrid
  69. ↑ Official announcement of discovery of 146561×211280802 − 1, PrimeGrid
  70. ↑ Official announcement of discovery of 2985036524288 + 1, PrimeGrid
  71. ↑ Official announcement of discovery of 2877652524288 + 1, PrimeGrid
  72. ↑ Official announcement of discovery of 2788032524288 + 1, PrimeGrid
  73. ↑ Official announcement of discovery of 2733014524288 + 1, PrimeGrid
  74. ↑ Official announcement of discovery of 2312092524288 + 1, PrimeGrid
  75. ↑ Official announcement of discovery of 2061748524288 + 1, PrimeGrid
  76. ↑ Official announcement of discovery of 1880370524288 + 1, PrimeGrid
  77. ↑ Official announcement of discovery of 3×210829346 + 1, PrimeGrid
  78. ↑ Official announcement of discovery of 475856524288 + 1, PrimeGrid
  79. ↑ Official announcement of discovery of 356926524288 + 1, PrimeGrid
  80. ↑ Official announcement of discovery of 341112524288 + 1, PrimeGrid
  81. ↑ Official announcement of discovery of 121×29584444 + 1, PrimeGrid
  82. ↑ Official announcement of discovery of 1323365×1161323365 + 1, PrimeGrid
  83. ↑ Official announcement of discovery of 63838×53887851 − 1, PrimeGrid
  84. ↑ Official announcement of discovery of 273809×28932416 − 1, PrimeGrid
  85. ↑ Official announcement of discovery of 25×28788628 + 1, PrimeGrid
  86. 1 2 3 "CRUS - Proven Conjectures". www.noprimeleftbehind.net.
  87. ↑ Official announcement of discovery of 17×28636199 + 1, PrimeGrid
  88. ↑ Official announcement of discovery of 75898524288 + 1, PrimeGrid
  89. ↑ Official announcement of discovery of 25×28456828 + 1, PrimeGrid
  90. ↑ Official announcement of discovery of 39×28413822 + 1, PrimeGrid
  91. ↑ Official announcement of discovery of 31×28348000 + 1, PrimeGrid
  92. ↑ Official announcement of discovery of 27×28342438 − 1, PrimeGrid
  93. ↑ Official announcement of discovery of 273662×53493296 + 1, PrimeGrid
  94. ↑ 102818×53440382 − 1, PrimeGrid
  95. ↑ Official announcement of discovery of 27×27963247 + 1, PrimeGrid
  96. ↑ Official announcement of discovery of 39×27946769 + 1, PrimeGrid
  97. ↑ Official announcement of discovery of 29×27899985 + 1, PrimeGrid
  98. ↑ Official announcement of discovery of 1341174×531341174 + 1, PrimeGrid
  99. ↑ Official announcement of discovery of 45×27661004 + 1, PrimeGrid
  100. ↑ Official announcement of discovery of 15×27619838 + 1, PrimeGrid
  101. ↑ Official announcement of discovery of 45×27513661 + 1, PrimeGrid
  102. ↑ Official announcement of discovery of 29×27374577 + 1, PrimeGrid
  103. ↑ 109838×53168862 − 1, PrimeGrid
  104. ↑ Official announcement of discovery of 29×27300254 + 1, PrimeGrid
  105. ↑ 118568×53112069 + 1, PrimeGrid
  106. ↑ Official announcement of discovery of 502573×27181987 − 1, PrimeGrid
  107. ↑ Official announcement of discovery of 402539×27173024 − 1, PrimeGrid
  108. ↑ Official announcement of discovery of 161041×27107964 + 1, PrimeGrid
  109. ↑ Official announcement of discovery of 27×27046834 + 1, PrimeGrid
  110. ↑ Official announcement of discovery of 3×27033641 + 1, PrimeGrid
  111. ↑ GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
  112. ↑ 238694×52979422 − 1, PrimeGrid
  113. ↑ 146264×52953282 − 1, PrimeGrid
  114. ↑ 35816×52945294 − 1, PrimeGrid
  115. ↑ Official announcement of discovery of 19×26833086 + 1, PrimeGrid
  116. ↑ Official announcement of discovery of 40597×26808509 − 1, PrimeGrid
  117. ↑ Official announcement of discovery of 39×26684941 + 1, PrimeGrid
  118. ↑ Official announcement of discovery of 6679881×26679881 + 1, PrimeGrid
  119. ↑ Official announcement of discovery of 39×26648997 + 1, PrimeGrid
  120. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net
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