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
20107347×223427517 − 14 August 20247,052,391
213×223157875 − 125 June 20256,971,216
2238432361048576 + 1 17 December 20246,904,556
233×222103376 − 130 September 20246,653,780
2419637361048576 + 1 24 September 20226,598,776
2519517341048576 + 1 9 August 20226,595,985
26202705×221320516 + 1 25 November 20216,418,121
27220996011 − 1 17 November 20036,320,430
2810590941048576 + 1 31 October 20186,317,602
293×220928756 − 15 July 20236,300,184
309194441048576 + 1 29 August 20176,253,210
3181×220498148 + 113 June 20236,170,560
327×220267500 + 121 July 20226,101,127
334×58431178 + 12 January 20245,893,142
34168451×219375200 + 1 17 September 20175,832,522
3569×219374980 − 13 July 20225,832,452
363×218924888 − 124 March 20225,696,990
3769×218831865 − 116 December 20215,668,959
382×311879700 + 122 June 20245,668,058
3997139×218397548 − 123 April 20235,538,219
407×218233956 + 11 October 20205,488,969
413×218196595 − 18 January 20225,477,722
424×311279466 + 110 September 20245,381,674
433×217748034 − 1 6 September 20215,342,692
4423 February 20175,338,805
453622×57558139 − 118 February 20225,282,917
467×66772401 + 19 September 20195,269,954
472×310852677 + 18 January 20235,178,044
488508301×217016603 − 1 21 March 20185,122,515
498×105112848 − 130 January 20245,112,848
5013×216828072 + 111 October 20235,065,756
513×216819291 − 1 20 January 20215,063,112
525287180×310574360 − 13 November 20245,045,259
533×216408818 + 1 25 October 20204,939,547
542329989×216309923 − 113 February 20244,909,783
5569×215866556 + 120 August 20214,776,312
562036×310009192 + 115 February 20244,775,602
572525332×732525332 + 128 August 20214,705,888
581419499×215614489 + 19 February 20244,700,436
5911×215502315 + 18 January 20234,666,663
60(102332974 + 1)2 − 220 February 20244,665,949
6137×215474010 + 18 November 20224,658,143
6293839×215337656 − 128 November 20224,617,100
63215317227+27658614 + 131 July 20204,610,945
6413×215294536 + 130 September 20234,604,116
656×56546983 + 113 June 20204,576,146
664788920×39577840 − 114 February 20244,569,798
6731×215145093 − 19 February 20254,559,129
6869×214977631 − 13 December 20214,508,719
69192971×214773498 − 17 March 20214,447,272
704×39214845 + 110 September 20244,396,600
719145334×39145334 + 125 December 20234,363,441
724×56181673 − 115 July 20224,320,805
73396101×214259638 − 13 February 20244,292,585
746962×312863120 − 129 February 20204,269,952
7537×214166940 + 124 June 20224,264,676
7699739×214019102 + 1 24 December 20194,220,176
7769×213832885 − 117 January 20224,164,116
789562633# + 125 June 20254,151,498
79404849×213764867 + 110 March 20214,143,644
8025×213719266 + 120 September 20224,129,912
8181×213708272 + 111 October 20224,126,603
822740879×213704395 − 126 October 20194,125,441
83479216×38625889 − 116 November 20194,115,601
8413×213584543 − 130 May 20254,089,357
8531×213514933 − 19 February 20254,068,402
8630 January 20174,055,114
8781×213470584 + 19 October 20224,055,052
88213466917 − 1 14 November 20014,053,946
895778486×55778486 + 115 August 20244,038,996
909×213334487 + 131 March 20204,014,082
91206039×213104952 − 126 April 20213,944,989
922805222×55610444 + 1 2 September 20193,921,539
935128×222919993 + 15 December 20243,919,869
9419249×213018586 + 126 March 20073,918,990
952293×212918431 − 113 February 20213,888,839
9681×212804541 + 119 September 20223,854,553
9767612×55501582 + 18 April 20253,845,446
9818099898524288 + 11 September 20253,805,113
9917177670524288 + 15 October 20253,793,205
10016211276524288 + 19 August 20253,780,021
10115958750524288 + 115 July 20253,776,446
10215852200524288 + 18 July 20253,774,921
1034×55380542 + 122 February 20233,760,839
10413520762524288 + 125 February 20253,738,699
10513427472524288 + 13 March 20253,737,122
1069×212406887 + 129 March 20203,734,847
10712900356524288 + 122 January 20253,728,004
10812693488524288 + 16 January 20253,724,323
10911937916524288 + 15 October 20243,710,349
1107×212286041 − 110 June 20233,698,468
11110913140524288 + 119 June 20243,689,913
11269×212231580 − 127 July 20213,682,075
11327×212184319 + 16 February 20213,667,847
1149332124524288 + 122 June 20243,654,278
1158630170524288 + 113 April 20243,636,472
116863282×55179692 − 117 October 20243,620,456
117670490×123352450 − 117 October 20243,617,907
1184×37578378 + 19 September 20243,615,806
11911×211993994 − 115 August 20243,610,554
1203761×211978874 − 16 July 20223,606,004
12195×211954552 − 128 May 20243,598,681
122259072×55136295 − 128 October 20243,590,122
1233×211895718 − 1 23 June 20153,580,969
12437×211855148 + 130 May 20223,568,757
1256339004524288 + 18 June 20233,566,218
126763795×64582771 + 111 December 20233,566,095
1275897794524288 + 118 December 20223,549,792
1283×211731850 − 113 March 20153,531,640
12969×211718455 − 14 December 20203,527,609
1308629×211708579 − 119 September 20243,524,638
13141×211676439 + 120 June 20223,514,960
1324896418524288 + 115 May 20223,507,424
13381×211616017 + 130 August 20223,496,772
13469×211604348 − 14 December 20203,493,259
1354450871×64450871 + 117 September 20233,463,458
1369×211500843 + 113 March 20203,462,100
1373×211484018 − 122 November 20143,457,035
138193997×211452891 + 13 April 20183,447,670
13929914×54930904 + 127 September 20243,446,559
1403638450524288 + 129 May 20203,439,810
1419221×211392194 − 17 February 20213,429,397
1429×211366286 + 126 March 20203,421,594
1435×211355764 − 12 October 20213,418,427
144732050×64392301 + 19 September 20233,417,881
1453214654524288 + 124 December 20193,411,613
146632760! − 120 October 20243,395,992
147146561×211280802 − 116 November 20203,395,865
14851208×54857576 + 16 June 20243,395,305
1492985036524288 + 118 September 20193,394,739
1504591×211270837 − 12 January 20253,392,864
1516929×211255424 − 17 July 20223,388,225
1522877652524288 + 129 June 20193,386,397
1532788032524288 + 117 April 20193,379,193
1542733014524288 + 118 March 20193,374,655
1559×211158963 + 113 March 20203,359,184
1569271×211134335 − 117 January 20213,351,773
157136804×54777253 − 11 March 20243,339,162
1582312092524288 + 14 August 20183,336,572
159987324×481974648 − 112 October 20243,319,866
1602061748524288 + 120 March 20183,310,478
1611880370524288 + 115 January 20183,289,511
16227×210902757 − 17 March 20223,282,059
1633×210829346 + 114 January 20143,259,959
16411×210803449 + 129 May 20223,252,164
16511×210797109 + 129 May 20223,250,255
1667×210612737 − 119 May 20223,194,154
1677351117# + 114 September 20243,191,401
16837×210599476 + 117 June 20223,190,762
1695×210495620 − 126 September 20213,159,498
17030 June 20233,153,105
1715×210349000 − 126 September 20213,115,361
17217 January 20173,107,335
17317×210248660 − 18 August 20253,085,156
17452922×54399812 − 13 August 20233,075,342
17514 January 20173,068,389
176177742×54386703 − 124 July 20233,066,180
1774×36402015 + 19 September 20243,054,539
178874208×541748416 − 126 September 20193,028,951
179475856524288 + 18 August 20122,976,633
1802×36236772 + 120 December 20222,975,697
18115×39830108 + 119 August 20232,959,159
1829×29778263 + 15 August 20202,943,552
183198×5581061348 + 130 August 20242,915,138
1841806676×411806676 + 111 March 20182,913,785
185356926524288 + 120 June 20122,911,151
186341112524288 + 115 June 20122,900,832
187213988×54138363 − 129 November 20222,892,597
18843×29596983 − 128 February 20222,888,982
189121×29584444 + 118 November 20202,885,208
19015×29482269 − 114 August 20242,854,449
1916533299# − 118 August 20242,835,864
19211×29381365 + 17 March 20202,824,074
19315×29312889 + 17 August 20232,803,461
19497×29305542 + 110 May 20252,801,250
19593×29235048 + 17 May 20252,780,029
19649×29187790 + 111 September 20222,765,803
1976369619# + 112 August 20242,765,105
19827653×29167433 + 18 June 20052,759,677
1996354977# − 112 August 20242,758,832
20090527×29162167 + 130 June 20102,758,093
2016795×29144320 − 131 March 20212,752,719
20231×29088085 − 127 August 20242,735,788
20375×29079482 + 125 July 20232,733,199
2041323365×1161323365 + 118 January 20182,732,038
20557×29075622 − 17 August 20222,732,037
206102718281 − 5×101631138 − 5×101087142 − 16 August 20242,718,281
20763838×53887851 − 119 June 20222,717,497
20813×28989858 + 110 March 20202,706,219
209271357×28943013 − 113 October 20252,692,121
2104159×28938471 − 119 April 20222,690,752
211273809×28932416 − 113 December 20172,688,931
21293×28898285 + 14 March 20242,678,653
2132×35570081 + 114 February 20202,657,605
21425×28788628 + 11 March 20212,645,643
2152038×3661028507 − 14 April 20162,636,562
21664598×53769854 − 114 June 20222,635,020
21763×28741225 + 16 May 20242,631,373
2188×785900325 + 14 June 20222,606,325
21917×28636199 + 117 February 20212,599,757
22075898524288 + 119 November 20112,558,647
22125×28456828 + 127 January 20212,545,761
22239×28413422 + 123 January 20212,532,694
22331×28348000 + 119 January 20212,513,000
22427×28342438 − 11 February 20212,511,326
22517×28330892 − 116 July 20252,507,850
2263867×28261084 − 114 April 20212,486,838
227101×28152967 + 12 December 20232,454,290
2289×28128075 − 18 July 20252,446,796
229273662×53493296 − 1 7 December 20212,441,715
23081×28109236 + 19 September 20222,441,126
23111×28103463 + 16 March 20202,439,387
232102818×53440382 − 1 8 October 20212,404,729
2339×27979119 − 18 July 20252,401,956
23411×27971110 − 125 November 20192,399,545
23527×27963247 + 114 January 20212,397,178
2363177×27954621 − 113 June 20212,394,584
23739×27946769 + 114 January 20212,392,218
2387×63072198 + 14 August 20192,390,636
2393765×27904593 − 110 January 20212,379,524
24029×27899985 + 114 January 20212,378,134
2415113×27895471 − 127 November 20222,376,778
242861×27895451 − 121 February 20212,376,771
24375×27886683 + 14 September 20232,374,131
2442661×27861390 − 128 December 20242,366,518
24521×27838882 − 115 August 20252,359,740
24630397×27838120 + 117 August 20252,359,514
24799×27830910 + 124 April 20242,357,341
24828433×27830457 + 131 December 20042,357,207
2492589×27803339 − 121 August 20222,349,043
25059×27792307 + 124 April 20242,345,720
251101×27784453 + 124 April 20242,343,356
25295×27778585 + 124 April 20242,341,590
2538401×27767655 − 124 April 20232,338,302
2549693×27767343 − 117 November 20232,338,208
2555×27755002 − 123 September 20212,334,489
2562945×27753232 − 127 November 20222,333,959
2572×836798431 + 110 September 20242,333,181
25863×27743186 + 124 April 20242,330,934
2592545×27732265 − 113 January 20212,327,648
2605539×27730709 − 115 January 20212,327,180
2614817×27719584 − 113 June 20212,323,831
262183×558842752 + 123 August 20242,314,734
2631341174×531341174 + 121 August 20172,312,561
2649467×27680034 − 120 February 20222,311,925
26545×27661004 + 113 December 20202,306,194
26615×27619838 + 16 December 20202,293,801
2673645×27610003 − 128 August 20252,290,843
2683597×27580693 − 110 January 20212,282,020
2695256037# + 16 August 20242,281,955
27038118498221×27552807 + 17 October 20252,273,633
2713129×27545557 − 114 March 20232,271,443
2727401×27523295 − 121 February 20212,264,742
27345×27513661 + 112 November 20202,261,839
27411 January 20172,259,865
2752739×27483537 − 11 May 20252,252,773
2769×27479919 − 13 June 20232,251,681
2771875×27474308 − 121 August 20222,249,995
27869×27452023 + 123 March 20232,243,285
2791281879×27447178 + 127 December 20232,241,831
2809107×27417464 − 13 May 20252,232,884
2814×53189669 − 112 July 20222,229,484
28219×27383785 − 111 July 20252,222,743
28329×27374577 + 127 October 20202,219,971
2842653×27368343 − 118 September 20242,218,096
28521555×27364128 − 14 September 20242,216,828
2863197×27359542 − 127 November 20222,215,447
287109838×53168862 − 113 August 20202,214,945
28895×27354869 + 125 September 20232,214,039
289101×27345194 − 15 October 20192,211,126
29085×27333444 + 125 September 20232,207,589
29115×27300254 + 125 October 20202,197,597
292422429! + 121 February 20222,193,027
2931759×27284439 − 128 August 20212,192,838
2941909683×141909683 + 127 May 20232,188,748
295737×27269322 − 110 August 20172,188,287
2966909×27258896 − 118 September 20242,185,150
29793×27241494 + 125 September 20232,179,909
298118568×53112069 + 11 May 20202,175,248
2994215×27221386 − 127 December 20242,173,858
30040×257901632 + 111 September 20242,172,875
3011685×27213108 − 113 April 20252,171,366
302580633×27208783 − 115 February 20242,170,066
3036039×27207973 − 124 March 20212,169,820
3041871×27207954 − 126 September 20252,169,814
305502573×27181987 − 14 October 20142,162,000
306402539×27173024 − 12 October 20142,159,301
3073343×27166019 − 129 September 20162,157,191
3084137×27132569 − 111 April 20252,147,121
309161041×27107964 + 16 January 20152,139,716
310294×213918952 − 119 September 20232,139,672
31117×27101254 − 111 July 20252,137,692
31227×27046834 + 111 October 20182,121,310
3131759×27046791 − 128 August 20212,121,299
314327×27044001 − 113 January 20212,120,459
3155×27037188 − 122 September 20212,118,406
3163×27033641 + 121 February 20112,117,338
317625783×27031319 − 110 February 20242,116,644
31833661×27031232 + 130 October 20072,116,617
3196 January 20172,114,016
320207494×53017502 − 116 March 20202,109,149
32115×26993631 − 125 August 20212,105,294
3228943501×26972593 − 18 January 20222,098,967
3236020095×26972593 − 14 September 20222,098,967
32426972593 − 1 1 June 19992,098,960
325273×26963847 − 116 November 20222,096,330
3266219×26958945 − 17 January 20212,094,855
32751×26945567 + 126 May 20202,090,826
3288×102084563 − 11 June 20252,084,564
3293323×26921196 − 118 September 20242,083,492
330238694×52979422 − 112 March 20202,082,532
3314×721119849 − 17 September 20162,079,933
332129×26900230 + 15 June 20252,077,179
33333×26894190 − 127 July 20212,075,360
3344778027# − 131 July 20242,073,926
335105×26884697 + 12 June 20252,072,503
3362345×26882320 − 113 April 20222,071,789
33757×26857990 + 117 August 20232,064,463
338146264×52953282 − 19 March 20202,064,261
33971737620262144 + 118 October 20252,059,337
34071380700262144 + 113 October 20252,058,770
34169×26838971 − 11 March 20202,058,738
34235816×52945294 − 15 March 20202,058,677
34371107798262144 + 111 October 20252,058,333
344127×26836153 − 125 June 20182,057,890
345105×26835099 + 126 May 20252,057,572
34670520422262144 + 129 September 20252,057,389
34770349734262144 + 127 September 20252,057,113
34819×26833086 + 124 October 20202,056,966
34969844790262144 + 122 September 20252,056,293
35069810332262144 + 122 September 20252,056,237
35169290228262144 + 120 September 20252,055,386
35269170386262144 + 113 September 20252,055,189
35368717884262144 + 130 August 20252,054,441
35468000464262144 + 110 August 20252,053,246
35567886950262144 + 19 August 20252,053,056
35667673558262144 + 15 August 20252,052,698
35767535128262144 + 12 August 20252,052,465
35867433562262144 + 12 August 20252,052,293
35967167678262144 + 124 July 20252,051,844
36067141518262144 + 124 July 20252,051,799
36167062340262144 + 122 July 20252,051,665
36266498472262144 + 18 July 20252,050,704
36366342922262144 + 14 July 20252,050,437
36466266188262144 + 13 July 20252,050,305
36565×26810465 + 122 September 20232,050,157
36640597×26808509 − 125 December 20132,049,571
367283×26804701 − 119 January 20202,048,431
36865136498262144 + 120 June 20252,048,348
36964989720262144 + 118 June 20252,048,091
37064074894262144 + 130 May 20252,046,447
37164010198262144 + 130 May 20252,046,362
37263833640262144 + 127 May 20252,046,047
3738×102045966 − 131 May 20252,045,967
37463784742262144 + 126 May 20252,045,960
37563558122262144 + 127 May 20252,045,555
37663448958262144 + 122 May 20252,045,359
37763286690262144 + 119 May 20252,045,068
37862767176262144 + 19 May 20252,044,129
37962747994262144 + 19 May 20252,044,095
3801861209×26789999 + 12 December 20202,044,000
3815817×26789459 − 19 January 20212,043,835
38262311952262144 + 13 May 20252,043,301
38362199610262144 + 15 May 20252,043,095
38462152830262144 + 11 May 20252,043,010
38562136706262144 + 12 May 20252,042,980
3868435×26786180 − 17 January 20212,042,848
38761238184262144 + 121 April 20252,041,322
388119×26777781 + 118 May 20252,040,318
38959145944262144 + 129 March 20252,037,364
39058936230262144 + 128 March 20252,036,960
39158870004262144 + 128 March 20252,036,832
39258846688262144 + 128 March 20252,036,787
39358333324262144 + 128 March 20252,035,789
39458288282262144 + 128 March 20252,035,701
39557643582262144 + 128 March 20252,034,435
39657594478262144 + 128 March 20252,034,338
39757478518262144 + 128 March 20252,034,108
39857429230262144 + 127 March 20252,034,111
39951×26753404 + 126 May 20202,032,979
40093×26750726 + 118 September 20232,032,173
40156303352262144 + 127 March 20252,031,757
40256295176262144 + 126 March 20252,031,740
40355952434262144 + 126 March 20252,031,045
40455892864262144 + 127 March 20252,030,920
40569×26745775 + 121 March 20232,030,683
40655702322262144 + 127 March 20252,030,535
40755695224262144 + 125 March 20252,030,520
40855169618262144 + 125 March 20252,029,441
40955007338262144 + 125 March 20252,029,105
41054852328262144 + 125 March 20252,028,784
41154528918262144 + 126 March 20252,028,111
41254044092262144 + 124 March 20252,027,094
41353903472262144 + 124 March 20252,026,797
41453750036262144 + 124 March 20252,026,473
41553616962262144 + 128 March 20252,026,191
41653311612262144 + 124 March 20252,025,540
4174681×26728157 − 125 August 20252,025,381
41853008094262144 + 123 March 20252,024,890
41952648144262144 + 121 March 20252,024,115
42052599274262144 + 120 March 20252,024,009
42152592976262144 + 121 March 20252,023,995
422117×26719464 + 110 May 20252,022,763
42351992174262144 + 116 March 20252,022,687
42451852794262144 + 114 March 20252,022,382
42551714136262144 + 113 March 20252,022,077
42651283286262144 + 19 March 20252,021,124
42751125138262144 + 17 March 20252,020,773
4289995×26711008 − 131 December 20202,020,219
42950454356262144 + 11 March 20252,019,269
43050449664262144 + 128 February 20252,019,259
43150366208262144 + 128 February 20252,019,070
43250121532262144 + 127 February 20252,018,516
43349536902262144 + 125 February 20252,017,180
43449235348262144 + 123 February 20252,016,485
43549209090262144 + 123 February 20252,016,424
43648055302262144 + 118 February 20252,013,723
43747707672262144 + 116 February 20252,012,896
43839×26684941 + 120 October 20202,012,370
43947351862262144 + 115 February 20252,012,044
44047281922262144 + 113 February 20252,011,876
44147255958262144 + 113 February 20252,011,813
4426679881×26679881 + 125 July 20092,010,852
44346831458262144 + 111 February 20252,010,786
44446378776262144 + 18 February 20252,009,680
44545073202262144 + 121 January 20252,006,469
44645007104262144 + 119 January 20252,006,202
44744819108262144 + 114 January 20252,005,786
44844666524262144 + 112 January 20252,005,397
44937×26660841 − 130 July 20142,005,115
45044144624262144 + 129 December 20242,004,059
45144030166262144 + 130 December 20242,003,764
45243330794262144 + 13 December 20242,001,941
45339×26648997 + 120 October 20202,001,550
45442781592262144 + 118 November 20242,000,489
455102000007 − 101127194 − 10872812 − 112 January 20242,000,007
456102000005 − 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 [114] 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 3×223157875 − 1, PrimeGrid
  20. ↑ Official announcement of discovery of 38432361048576 + 1, PrimeGrid
  21. ↑ Official announcement of discovery of 3×222103376 − 1, PrimeGrid
  22. ↑ Official announcement of discovery of 19637361048576 + 1, PrimeGrid
  23. ↑ Official announcement of discovery of 19517341048576 + 1, PrimeGrid
  24. ↑ Official announcement of discovery of 202705×221320516 + 1, PrimeGrid
  25. ↑ "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  26. ↑ Official announcement of discovery of 10590941048576 + 1, PrimeGrid
  27. ↑ Official announcement of discovery of 3×220928756 − 1, PrimeGrid
  28. ↑ Official announcement of discovery of 9194441048576 + 1, PrimeGrid
  29. ↑ Official announcement of discovery of 168451×219375200 + 1, PrimeGrid
  30. ↑ Official announcement of discovery of 3×218924888 − 1, PrimeGrid
  31. ↑ Official announcement of discovery of 3×218196595 − 1, PrimeGrid
  32. ↑ Official announcement of discovery of 3×217748034 − 1, PrimeGrid
  33. ↑ Official announcement of discovery of 8508301×217016603 − 1, PrimeGrid
  34. ↑ Official announcement of discovery of 3×216819291 − 1, PrimeGrid
  35. ↑ Official announcement of discovery of 3×216408818 + 1, PrimeGrid
  36. ↑ Official announcement of discovery of 2525332×732525332 + 1, PrimeGrid
  37. ↑ Official announcement of discovery of 99739×214019102 + 1, PrimeGrid
  38. ↑ "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  39. ↑ Official announcement of discovery of 2805222×55610444 + 1, PrimeGrid
  40. 1 2 3 4 5 6 7 8 9 10 11 Chris Caldwell, The Largest Known Primes at The PrimePages.
  41. ↑ Official announcement of discovery of 67612×55501582 + 1, PrimeGrid
  42. ↑ Official announcement of discovery of 17177670524288 + 1, PrimeGrid
  43. ↑ Official announcement of discovery of 16211276524288 + 1, PrimeGrid
  44. ↑ Official announcement of discovery of 15958750524288 + 1, PrimeGrid
  45. ↑ Official announcement of discovery of 15852200524288 + 1, PrimeGrid
  46. ↑ Official announcement of discovery of 13520762524288 + 1, PrimeGrid
  47. ↑ Official announcement of discovery of 13427472524288 + 1, PrimeGrid
  48. ↑ Official announcement of discovery of 12900356524288 + 1, PrimeGrid
  49. ↑ Official announcement of discovery of 12693488524288 + 1, PrimeGrid
  50. ↑ Official announcement of discovery of 11937916524288 + 1, PrimeGrid
  51. ↑ Official announcement of discovery of 10913140524288 + 1, PrimeGrid
  52. ↑ Official announcement of discovery of 9332124524288 + 1, PrimeGrid
  53. ↑ Official announcement of discovery of 8630170524288 + 1, PrimeGrid
  54. ↑ Official announcement of discovery of 3×211895718−1, PrimeGrid
  55. ↑ Official announcement of discovery of 6339004524288 + 1, PrimeGrid
  56. ↑ Official announcement of discovery of 3×211731850 − 1, PrimeGrid
  57. ↑ Official announcement of discovery of 4896418524288 + 1, PrimeGrid
  58. ↑ Official announcement of discovery of 3×211484018 − 1, PrimeGrid
  59. ↑ Official announcement of discovery of 193997×211452891 + 1, PrimeGrid
  60. ↑ Official announcement of discovery of 3638450524288 + 1, PrimeGrid
  61. ↑ Official announcement of discovery of 9221×211392194 − 1, PrimeGrid
  62. ↑ Official announcement of discovery of 3214654524288 + 1, PrimeGrid
  63. ↑ Official announcement of discovery of 146561×211280802 − 1, PrimeGrid
  64. ↑ Official announcement of discovery of 2985036524288 + 1, PrimeGrid
  65. ↑ Official announcement of discovery of 2877652524288 + 1, PrimeGrid
  66. ↑ Official announcement of discovery of 2788032524288 + 1, PrimeGrid
  67. ↑ Official announcement of discovery of 2733014524288 + 1, PrimeGrid
  68. ↑ Official announcement of discovery of 2312092524288 + 1, PrimeGrid
  69. ↑ Official announcement of discovery of 2061748524288 + 1, PrimeGrid
  70. ↑ Official announcement of discovery of 1880370524288 + 1, PrimeGrid
  71. ↑ Official announcement of discovery of 3×210829346 + 1, PrimeGrid
  72. ↑ Official announcement of discovery of 475856524288 + 1, PrimeGrid
  73. ↑ Official announcement of discovery of 356926524288 + 1, PrimeGrid
  74. ↑ Official announcement of discovery of 341112524288 + 1, PrimeGrid
  75. ↑ Official announcement of discovery of 121×29584444 + 1, PrimeGrid
  76. ↑ Official announcement of discovery of 1323365×1161323365 + 1, PrimeGrid
  77. ↑ Official announcement of discovery of 63838×53887851 − 1, PrimeGrid
  78. ↑ Official announcement of discovery of 273809×28932416 − 1, PrimeGrid
  79. ↑ Official announcement of discovery of 25×28788628 + 1, PrimeGrid
  80. 1 2 3 "CRUS - Proven Conjectures". www.noprimeleftbehind.net.
  81. ↑ Official announcement of discovery of 17×28636199 + 1, PrimeGrid
  82. ↑ Official announcement of discovery of 75898524288 + 1, PrimeGrid
  83. ↑ Official announcement of discovery of 25×28456828 + 1, PrimeGrid
  84. ↑ Official announcement of discovery of 39×28413822 + 1, PrimeGrid
  85. ↑ Official announcement of discovery of 31×28348000 + 1, PrimeGrid
  86. ↑ Official announcement of discovery of 27×28342438 − 1, PrimeGrid
  87. ↑ Official announcement of discovery of 273662×53493296 + 1, PrimeGrid
  88. ↑ 102818×53440382 − 1, PrimeGrid
  89. ↑ Official announcement of discovery of 27×27963247 + 1, PrimeGrid
  90. ↑ Official announcement of discovery of 39×27946769 + 1, PrimeGrid
  91. ↑ Official announcement of discovery of 29×27899985 + 1, PrimeGrid
  92. ↑ Official announcement of discovery of 1341174×531341174 + 1, PrimeGrid
  93. ↑ Official announcement of discovery of 45×27661004 + 1, PrimeGrid
  94. ↑ Official announcement of discovery of 15×27619838 + 1, PrimeGrid
  95. ↑ Official announcement of discovery of 45×27513661 + 1, PrimeGrid
  96. ↑ Official announcement of discovery of 29×27374577 + 1, PrimeGrid
  97. ↑ 109838×53168862 − 1, PrimeGrid
  98. ↑ Official announcement of discovery of 29×27300254 + 1, PrimeGrid
  99. ↑ 118568×53112069 + 1, PrimeGrid
  100. ↑ Official announcement of discovery of 502573×27181987 − 1, PrimeGrid
  101. ↑ Official announcement of discovery of 402539×27173024 − 1, PrimeGrid
  102. ↑ Official announcement of discovery of 161041×27107964 + 1, PrimeGrid
  103. ↑ Official announcement of discovery of 27×27046834 + 1, PrimeGrid
  104. ↑ Official announcement of discovery of 3×27033641 + 1, PrimeGrid
  105. ↑ GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
  106. ↑ 238694×52979422 − 1, PrimeGrid
  107. ↑ 146264×52953282 − 1, PrimeGrid
  108. ↑ 35816×52945294 − 1, PrimeGrid
  109. ↑ Official announcement of discovery of 19×26833086 + 1, PrimeGrid
  110. ↑ Official announcement of discovery of 40597×26808509 − 1, PrimeGrid
  111. ↑ Official announcement of discovery of 39×26684941 + 1, PrimeGrid
  112. ↑ Official announcement of discovery of 6679881×26679881 + 1, PrimeGrid
  113. ↑ Official announcement of discovery of 39×26648997 + 1, PrimeGrid
  114. 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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