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
6243112609 − 1
[8]
23 August 200812,978,189
7242643801 − 1
[9]
4 June 200912,837,064
82 October 202311,981,518
931 May 202311,887,192
10237156667 − 1
[8]
6 September 200811,185,272
11232582657 − 1 4 September 20069,808,358
1210223×231172165 + 1 31 October 20169,383,761
13230402457 − 1 15 December 20059,152,052
144×511786358 + 11 October 20248,238,312
15225964951 − 1 18 February 20057,816,230
164052186×694052186 + 116 April 20257,451,366
1769×224612729 − 113 August 20247,409,172
18224036583 − 1 15 May 20047,235,733
19107347×223427517 − 14 August 20247,052,391
203×223157875 − 125 June 20256,971,216
2138432361048576 + 1 17 December 20246,904,556
223×222103376 − 130 September 20246,653,780
2319637361048576 + 1 24 September 20226,598,776
2419517341048576 + 1 9 August 20226,595,985
25202705×221320516 + 1 25 November 20216,418,121
26220996011 − 1 17 November 20036,320,430
2710590941048576 + 1 31 October 20186,317,602
283×220928756 − 15 July 20236,300,184
299194441048576 + 1 29 August 20176,253,210
3081×220498148 + 113 June 20236,170,560
317×220267500 + 121 July 20226,101,127
324×58431178 + 12 January 20245,893,142
33168451×219375200 + 1 17 September 20175,832,522
3469×219374980 − 13 July 20225,832,452
353×218924888 − 124 March 20225,696,990
3669×218831865 − 116 December 20215,668,959
372×311879700 + 122 June 20245,668,058
3897139×218397548 − 123 April 20235,538,219
397×218233956 + 11 October 20205,488,969
403×218196595 − 18 January 20225,477,722
414×311279466 + 110 September 20245,381,674
423×217748034 − 1 6 September 20215,342,692
4323 February 20175,338,805
443622×57558139 − 118 February 20225,282,917
457×66772401 + 19 September 20195,269,954
462×310852677 + 18 January 20235,178,044
478508301×217016603 − 1 21 March 20185,122,515
488×105112848 − 130 January 20245,112,848
4913×216828072 + 111 October 20235,065,756
503×216819291 − 1 20 January 20215,063,112
515287180×310574360 − 13 November 20245,045,259
523×216408818 + 1 25 October 20204,939,547
532329989×216309923 − 113 February 20244,909,783
5469×215866556 + 120 August 20214,776,312
552036×310009192 + 115 February 20244,775,602
562525332×732525332 + 128 August 20214,705,888
571419499×215614489 + 19 February 20244,700,436
5811×215502315 + 18 January 20234,666,663
59(102332974 + 1)2 − 220 February 20244,665,949
6037×215474010 + 18 November 20224,658,143
6193839×215337656 − 128 November 20224,617,100
62215317227+27658614 + 131 July 20204,610,945
6313×215294536 + 130 September 20234,604,116
646×56546983 + 113 June 20204,576,146
654788920×39577840 − 114 February 20244,569,798
6631×215145093 − 19 February 20254,559,129
6769×214977631 − 13 December 20214,508,719
68192971×214773498 − 17 March 20214,447,272
694×39214845 + 110 September 20244,396,600
709145334×39145334 + 125 December 20234,363,441
714×56181673 − 115 July 20224,320,805
72396101×214259638 − 13 February 20244,292,585
736962×312863120 − 129 February 20204,269,952
7437×214166940 + 124 June 20224,264,676
7599739×214019102 + 1 24 December 20194,220,176
7669×213832885 − 117 January 20224,164,116
779562633# + 125 June 20254,151,498
78404849×213764867 + 110 March 20214,143,644
7925×213719266 + 120 September 20224,129,912
8081×213708272 + 111 October 20224,126,603
812740879×213704395 − 126 October 20194,125,441
82479216×38625889 − 116 November 20194,115,601
8313×213584543 − 130 May 20254,089,357
8431×213514933 − 19 February 20254,068,402
8530 January 20174,055,114
8681×213470584 + 19 October 20224,055,052
87213466917 − 1 14 November 20014,053,946
885778486×55778486 + 115 August 20244,038,996
899×213334487 + 131 March 20204,014,082
90206039×213104952 − 126 April 20213,944,989
912805222×55610444 + 1 2 September 20193,921,539
925128×222919993 + 15 December 20243,919,869
9319249×213018586 + 126 March 20073,918,990
942293×212918431 − 113 February 20213,888,839
9581×212804541 + 119 September 20223,854,553
9667612×55501582 + 18 April 20253,845,446
9716211276524288 + 19 August 20253,780,021
9815958750524288 + 115 July 20253,776,446
9915852200524288 + 18 July 20253,774,921
1004×55380542 + 122 February 20233,760,839
10113520762524288 + 125 February 20253,738,699
10213427472524288 + 13 March 20253,737,122
1039×212406887 + 129 March 20203,734,847
10412900356524288 + 122 January 20253,728,004
10512693488524288 + 16 January 20253,724,323
10611937916524288 + 15 October 20243,710,349
1077×212286041 − 110 June 20233,698,468
10810913140524288 + 119 June 20243,689,913
10969×212231580 − 127 July 20213,682,075
11027×212184319 + 16 February 20213,667,847
1119332124524288 + 122 June 20243,654,278
1128630170524288 + 113 April 20243,636,472
113863282×55179692 − 117 October 20243,620,456
114670490×123352450 − 117 October 20243,617,907
1154×37578378 + 19 September 20243,615,806
11611×211993994 − 115 August 20243,610,554
1173761×211978874 − 16 July 20223,606,004
11895×211954552 − 128 May 20243,598,681
119259072×55136295 − 128 October 20243,590,122
1203×211895718 − 1 23 June 20153,580,969
12137×211855148 + 130 May 20223,568,757
1226339004524288 + 18 June 20233,566,218
123763795×64582771 + 111 December 20233,566,095
1245897794524288 + 118 December 20223,549,792
1253×211731850 − 113 March 20153,531,640
12669×211718455 − 14 December 20203,527,609
1278629×211708579 − 119 September 20243,524,638
12841×211676439 + 120 June 20223,514,960
1294896418524288 + 115 May 20223,507,424
13081×211616017 + 130 August 20223,496,772
13169×211604348 − 14 December 20203,493,259
1324450871×64450871 + 117 September 20233,463,458
1339×211500843 + 113 March 20203,462,100
1343×211484018 − 122 November 20143,457,035
135193997×211452891 + 13 April 20183,447,670
13629914×54930904 + 127 September 20243,446,559
1373638450524288 + 129 May 20203,439,810
1389221×211392194 − 17 February 20213,429,397
1399×211366286 + 126 March 20203,421,594
1405×211355764 − 12 October 20213,418,427
141732050×64392301 + 19 September 20233,417,881
1423214654524288 + 124 December 20193,411,613
143632760! − 120 October 20243,395,992
144146561×211280802 − 116 November 20203,395,865
14551208×54857576 + 16 June 20243,395,305
1462985036524288 + 118 September 20193,394,739
1474591×211270837 − 12 January 20253,392,864
1486929×211255424 − 17 July 20223,388,225
1492877652524288 + 129 June 20193,386,397
1502788032524288 + 117 April 20193,379,193
1512733014524288 + 118 March 20193,374,655
1529×211158963 + 113 March 20203,359,184
1539271×211134335 − 117 January 20213,351,773
154136804×54777253 − 11 March 20243,339,162
1552312092524288 + 14 August 20183,336,572
156987324×481974648 − 112 October 20243,319,866
1572061748524288 + 120 March 20183,310,478
1581880370524288 + 115 January 20183,289,511
15927×210902757 − 17 March 20223,282,059
1603×210829346 + 114 January 20143,259,959
16111×210803449 + 129 May 20223,252,164
16211×210797109 + 129 May 20223,250,255
1637×210612737 − 119 May 20223,194,154
1647351117# + 114 September 20243,191,401
16537×210599476 + 117 June 20223,190,762
1665×210495620 − 126 September 20213,159,498
16730 June 20233,153,105
1685×210349000 − 126 September 20213,115,361
16917 January 20173,107,335
17017×210248660 − 18 August 20253,085,156
17152922×54399812 − 13 August 20233,075,342
17214 January 20173,068,389
173177742×54386703 − 124 July 20233,066,180
1744×36402015 + 19 September 20243,054,539
175874208×541748416 − 126 September 20193,028,951
176475856524288 + 18 August 20122,976,633
1772×36236772 + 120 December 20222,975,697
17815×39830108 + 119 August 20232,959,159
1799×29778263 + 15 August 20202,943,552
180198×5581061348 + 130 August 20242,915,138
1811806676×411806676 + 111 March 20182,913,785
182356926524288 + 120 June 20122,911,151
183341112524288 + 115 June 20122,900,832
184213988×54138363 − 129 November 20222,892,597
18543×29596983 − 128 February 20222,888,982
186121×29584444 + 118 November 20202,885,208
18715×29482269 − 114 August 20242,854,449
1886533299# − 118 August 20242,835,864
18911×29381365 + 17 March 20202,824,074
19015×29312889 + 17 August 20232,803,461
19197×29305542 + 110 May 20252,801,250
19293×29235048 + 17 May 20252,780,029
19349×29187790 + 111 September 20222,765,803
1946369619# + 112 August 20242,765,105
19527653×29167433 + 18 June 20052,759,677
1966354977# − 112 August 20242,758,832
19790527×29162167 + 130 June 20102,758,093
1986795×29144320 − 131 March 20212,752,719
19931×29088085 − 127 August 20242,735,788
20075×29079482 + 125 July 20232,733,199
2011323365×1161323365 + 118 January 20182,732,038
20257×29075622 − 17 August 20222,732,037
203102718281 − 5×101631138 − 5×101087142 − 16 August 20242,718,281
20463838×53887851 − 119 June 20222,717,497
20513×28989858 + 110 March 20202,706,219
2064159×28938471 − 119 April 20222,690,752
207273809×28932416 − 113 December 20172,688,931
20893×28898285 + 14 March 20242,678,653
2092×35570081 + 114 February 20202,657,605
21025×28788628 + 11 March 20212,645,643
2112038×3661028507 − 14 April 20162,636,562
21264598×53769854 − 114 June 20222,635,020
21363×28741225 + 16 May 20242,631,373
2148×785900325 + 14 June 20222,606,325
21517×28636199 + 117 February 20212,599,757
21675898524288 + 119 November 20112,558,647
21725×28456828 + 127 January 20212,545,761
21839×28413422 + 123 January 20212,532,694
21931×28348000 + 119 January 20212,513,000
22027×28342438 − 11 February 20212,511,326
22117×28330892 − 116 July 20252,507,850
2223867×28261084 − 114 April 20212,486,838
223101×28152967 + 12 December 20232,454,290
2249×28128075 − 18 July 20252,446,796
225273662×53493296 − 1 7 December 20212,441,715
22681×28109236 + 19 September 20222,441,126
22711×28103463 + 16 March 20202,439,387
228102818×53440382 − 1 8 October 20212,404,729
2299×27979119 − 18 July 20252,401,956
23011×27971110 − 125 November 20192,399,545
23127×27963247 + 114 January 20212,397,178
2323177×27954621 − 113 June 20212,394,584
23339×27946769 + 114 January 20212,392,218
2347×63072198 + 14 August 20192,390,636
2353765×27904593 − 110 January 20212,379,524
23629×27899985 + 114 January 20212,378,134
2375113×27895471 − 127 November 20222,376,778
238861×27895451 − 121 February 20212,376,771
23975×27886683 + 14 September 20232,374,131
2402661×27861390 − 128 December 20242,366,518
24121×27838882 − 115 August 20252,359,740
24230397×27838120 + 117 August 20252,359,514
24399×27830910 + 124 April 20242,357,341
24428433×27830457 + 131 December 20042,357,207
2452589×27803339 − 121 August 20222,349,043
24659×27792307 + 124 April 20242,345,720
247101×27784453 + 124 April 20242,343,356
24895×27778585 + 124 April 20242,341,590
2498401×27767655 − 124 April 20232,338,302
2509693×27767343 − 117 November 20232,338,208
2515×27755002 − 123 September 20212,334,489
2522945×27753232 − 127 November 20222,333,959
2532×836798431 + 110 September 20242,333,181
25463×27743186 + 124 April 20242,330,934
2552545×27732265 − 113 January 20212,327,648
2565539×27730709 − 115 January 20212,327,180
2574817×27719584 − 113 June 20212,323,831
258183×558842752 + 123 August 20242,314,734
2591341174×531341174 + 121 August 20172,312,561
2609467×27680034 − 120 February 20222,311,925
26145×27661004 + 113 December 20202,306,194
26215×27619838 + 16 December 20202,293,801
2633645×27610003 − 128 August 20252,290,843
2643597×27580693 − 110 January 20212,282,020
2655256037# + 16 August 20242,281,955
2663129×27545557 − 114 March 20232,271,443
2677401×27523295 − 121 February 20212,264,742
26845×27513661 + 112 November 20202,261,839
26911 January 20172,259,865
2702739×27483537 − 11 May 20252,252,773
2719×27479919 − 13 June 20232,251,681
2721875×27474308 − 121 August 20222,249,995
27369×27452023 + 123 March 20232,243,285
2741281879×27447178 + 127 December 20232,241,831
2759107×27417464 − 13 May 20252,232,884
2764×53189669 − 112 July 20222,229,484
27719×27383785 − 111 July 20252,222,743
27829×27374577 + 127 October 20202,219,971
2792653×27368343 − 118 September 20242,218,096
28021555×27364128 − 14 September 20242,216,828
2813197×27359542 − 127 November 20222,215,447
282109838×53168862 − 113 August 20202,214,945
28395×27354869 + 125 September 20232,214,039
284101×27345194 − 15 October 20192,211,126
28585×27333444 + 125 September 20232,207,589
28615×27300254 + 125 October 20202,197,597
287422429! + 121 February 20222,193,027
2881759×27284439 − 128 August 20212,192,838
2891909683×141909683 + 127 May 20232,188,748
290737×27269322 − 110 August 20172,188,287
2916909×27258896 − 118 September 20242,185,150
29293×27241494 + 125 September 20232,179,909
293118568×53112069 + 11 May 20202,175,248
2944215×27221386 − 127 December 20242,173,858
29540×257901632 + 111 September 20242,172,875
2961685×27213108 − 113 April 20252,171,366
297580633×27208783 − 115 February 20242,170,066
2986039×27207973 − 124 March 20212,169,820
299502573×27181987 − 14 October 20142,162,000
300402539×27173024 − 12 October 20142,159,301
3013343×27166019 − 129 September 20162,157,191
3024137×27132569 − 111 April 20252,147,121
303161041×27107964 + 16 January 20152,139,716
304294×213918952 − 119 September 20232,139,672
30517×27101254 − 111 July 20252,137,692
30627×27046834 + 111 October 20182,121,310
3071759×27046791 − 128 August 20212,121,299
308327×27044001 − 113 January 20212,120,459
3095×27037188 − 122 September 20212,118,406
3103×27033641 + 121 February 20112,117,338
311625783×27031319 − 110 February 20242,116,644
31233661×27031232 + 130 October 20072,116,617
3136 January 20172,114,016
314207494×53017502 − 116 March 20202,109,149
31515×26993631 − 125 August 20212,105,294
3168943501×26972593 − 18 January 20222,098,967
3176020095×26972593 − 14 September 20222,098,967
31826972593 − 1 1 June 19992,098,960
319273×26963847 − 116 November 20222,096,330
3206219×26958945 − 17 January 20212,094,855
32151×26945567 + 126 May 20202,090,826
3228×102084563 − 11 June 20252,084,564
3233323×26921196 − 118 September 20242,083,492
324238694×52979422 − 112 March 20202,082,532
3254×721119849 − 17 September 20162,079,933
326129×26900230 + 15 June 20252,077,179
32733×26894190 − 127 July 20212,075,360
3284778027# − 131 July 20242,073,926
329105×26884697 + 12 June 20252,072,503
3302345×26882320 − 113 April 20222,071,789
33157×26857990 + 117 August 20232,064,463
332146264×52953282 − 19 March 20202,064,261
33369×26838971 − 11 March 20202,058,738
33435816×52945294 − 15 March 20202,058,677
335127×26836153 − 125 June 20182,057,890
336105×26835099 + 126 May 20252,057,572
33719×26833086 + 124 October 20202,056,966
33868000464262144 + 110 August 20252,053,246
33967886950262144 + 19 August 20252,053,056
34067673558262144 + 15 August 20252,052,698
34167535128262144 + 12 August 20252,052,465
34267433562262144 + 12 August 20252,052,293
34367167678262144 + 124 July 20252,051,844
34467141518262144 + 124 July 20252,051,799
34567062340262144 + 122 July 20252,051,665
34666498472262144 + 18 July 20252,050,704
34766342922262144 + 14 July 20252,050,437
34866266188262144 + 13 July 20252,050,305
34965×26810465 + 122 September 20232,050,157
35040597×26808509 − 125 December 20132,049,571
351283×26804701 − 119 January 20202,048,431
35265136498262144 + 120 June 20252,048,348
35364989720262144 + 118 June 20252,048,091
35464074894262144 + 130 May 20252,046,447
35564010198262144 + 130 May 20252,046,362
35663833640262144 + 127 May 20252,046,047
3578×102045966 − 131 May 20252,045,967
35863784742262144 + 126 May 20252,045,960
35963558122262144 + 127 May 20252,045,555
36063448958262144 + 122 May 20252,045,359
36163286690262144 + 119 May 20252,045,068
36262767176262144 + 19 May 20252,044,129
36362747994262144 + 19 May 20252,044,095
3641861209×26789999 + 12 December 20202,044,000
3655817×26789459 − 19 January 20212,043,835
36662311952262144 + 13 May 20252,043,301
36762199610262144 + 15 May 20252,043,095
36862152830262144 + 11 May 20252,043,010
36962136706262144 + 12 May 20252,042,980
3708435×26786180 − 17 January 20212,042,848
37161238184262144 + 121 April 20252,041,322
372119×26777781 + 118 May 20252,040,318
37359145944262144 + 129 March 20252,037,364
37458936230262144 + 128 March 20252,036,960
37558870004262144 + 128 March 20252,036,832
37658846688262144 + 128 March 20252,036,787
37758333324262144 + 128 March 20252,035,789
37858288282262144 + 128 March 20252,035,701
37957643582262144 + 128 March 20252,034,435
38057594478262144 + 128 March 20252,034,338
38157478518262144 + 128 March 20252,034,108
38257429230262144 + 127 March 20252,034,111
38351×26753404 + 126 May 20202,032,979
38493×26750726 + 118 September 20232,032,173
38556303352262144 + 127 March 20252,031,757
38656295176262144 + 126 March 20252,031,740
38755952434262144 + 126 March 20252,031,045
38855892864262144 + 127 March 20252,030,920
38969×26745775 + 121 March 20232,030,683
39055702322262144 + 127 March 20252,030,535
39155695224262144 + 125 March 20252,030,520
39255169618262144 + 125 March 20252,029,441
39355007338262144 + 125 March 20252,029,105
39454852328262144 + 125 March 20252,028,784
39554528918262144 + 126 March 20252,028,111
39654044092262144 + 124 March 20252,027,094
39753903472262144 + 124 March 20252,026,797
39853750036262144 + 124 March 20252,026,473
39953616962262144 + 128 March 20252,026,191
40053311612262144 + 124 March 20252,025,540
4014681×26728157 − 125 August 20252,025,381
40253008094262144 + 123 March 20252,024,890
40352648144262144 + 121 March 20252,024,115
40452599274262144 + 120 March 20252,024,009
40552592976262144 + 121 March 20252,023,995
406117×26719464 + 110 May 20252,022,763
40751992174262144 + 116 March 20252,022,687
40851852794262144 + 114 March 20252,022,382
40951714136262144 + 113 March 20252,022,077
41051283286262144 + 19 March 20252,021,124
41151125138262144 + 17 March 20252,020,773
4129995×26711008 − 131 December 20202,020,219
41350454356262144 + 11 March 20252,019,269
41450449664262144 + 128 February 20252,019,259
41550366208262144 + 128 February 20252,019,070
41650121532262144 + 127 February 20252,018,516
41749536902262144 + 125 February 20252,017,180
41849235348262144 + 123 February 20252,016,485
41949209090262144 + 123 February 20252,016,424
42048055302262144 + 118 February 20252,013,723
42147707672262144 + 116 February 20252,012,896
42239×26684941 + 120 October 20202,012,370
42347351862262144 + 115 February 20252,012,044
42447281922262144 + 113 February 20252,011,876
42547255958262144 + 113 February 20252,011,813
4266679881×26679881 + 125 July 20092,010,852
42746831458262144 + 111 February 20252,010,786
42846378776262144 + 18 February 20252,009,680
42945073202262144 + 121 January 20252,006,469
43045007104262144 + 119 January 20252,006,202
43144819108262144 + 114 January 20252,005,786
43244666524262144 + 112 January 20252,005,397
43337×26660841 − 130 July 20142,005,115
43444144624262144 + 129 December 20242,004,059
43544030166262144 + 130 December 20242,003,764
43643330794262144 + 13 December 20242,001,941
43739×26648997 + 120 October 20202,001,550
43842781592262144 + 118 November 20242,000,489
439102000007 − 101127194 − 10872812 − 112 January 20242,000,007
440102000005 − 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 [112] NumberDiscovery dateDecimal digits
18 May 20218,177,207
220 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. 1 2 "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.
  9. ↑ "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  10. ↑ "PrimePage Primes: Phi(3, - 516693^1048576)". t5k.org. Retrieved 18 October 2024.
  11. ↑ "PrimePage Primes: Phi(3, - 465859^1048576)". t5k.org. Retrieved 18 October 2024.
  12. ↑ "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  13. ↑ Official announcement of discovery of 10223×231172165 + 1, PrimeGrid
  14. ↑ "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  15. ↑ "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  16. ↑ Official announcement of discovery of 4052186×694052186 + 1, PrimeGrid
  17. ↑ "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  18. ↑ Official announcement of discovery of 3×223157875 − 1, PrimeGrid
  19. ↑ Official announcement of discovery of 38432361048576 + 1, PrimeGrid
  20. ↑ Official announcement of discovery of 3×222103376 − 1, PrimeGrid
  21. ↑ Official announcement of discovery of 19637361048576 + 1, PrimeGrid
  22. ↑ Official announcement of discovery of 19517341048576 + 1, PrimeGrid
  23. ↑ Official announcement of discovery of 202705×221320516 + 1, PrimeGrid
  24. ↑ "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  25. ↑ Official announcement of discovery of 10590941048576 + 1, PrimeGrid
  26. ↑ Official announcement of discovery of 3×220928756 − 1, PrimeGrid
  27. ↑ Official announcement of discovery of 9194441048576 + 1, PrimeGrid
  28. ↑ Official announcement of discovery of 168451×219375200 + 1, PrimeGrid
  29. ↑ Official announcement of discovery of 3×218924888 − 1, PrimeGrid
  30. ↑ Official announcement of discovery of 3×218196595 − 1, PrimeGrid
  31. ↑ Official announcement of discovery of 3×217748034 − 1, PrimeGrid
  32. ↑ Official announcement of discovery of 8508301×217016603 − 1, PrimeGrid
  33. ↑ Official announcement of discovery of 3×216819291 − 1, PrimeGrid
  34. ↑ Official announcement of discovery of 3×216408818 + 1, PrimeGrid
  35. ↑ Official announcement of discovery of 2525332×732525332 + 1, PrimeGrid
  36. ↑ Official announcement of discovery of 99739×214019102 + 1, PrimeGrid
  37. ↑ "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  38. ↑ Official announcement of discovery of 2805222×55610444 + 1, PrimeGrid
  39. 1 2 3 4 5 6 7 8 9 10 11 Chris Caldwell, The Largest Known Primes at The PrimePages.
  40. ↑ Official announcement of discovery of 67612×55501582 + 1, PrimeGrid
  41. ↑ Official announcement of discovery of 16211276524288 + 1, PrimeGrid
  42. ↑ Official announcement of discovery of 15958750524288 + 1, PrimeGrid
  43. ↑ Official announcement of discovery of 15852200524288 + 1, PrimeGrid
  44. ↑ Official announcement of discovery of 13520762524288 + 1, PrimeGrid
  45. ↑ Official announcement of discovery of 13427472524288 + 1, PrimeGrid
  46. ↑ Official announcement of discovery of 12900356524288 + 1, PrimeGrid
  47. ↑ Official announcement of discovery of 12693488524288 + 1, PrimeGrid
  48. ↑ Official announcement of discovery of 11937916524288 + 1, PrimeGrid
  49. ↑ Official announcement of discovery of 10913140524288 + 1, PrimeGrid
  50. ↑ Official announcement of discovery of 9332124524288 + 1, PrimeGrid
  51. ↑ Official announcement of discovery of 8630170524288 + 1, PrimeGrid
  52. ↑ Official announcement of discovery of 3×211895718−1, PrimeGrid
  53. ↑ Official announcement of discovery of 6339004524288 + 1, PrimeGrid
  54. ↑ Official announcement of discovery of 3×211731850 − 1, PrimeGrid
  55. ↑ Official announcement of discovery of 4896418524288 + 1, PrimeGrid
  56. ↑ Official announcement of discovery of 3×211484018 − 1, PrimeGrid
  57. ↑ Official announcement of discovery of 193997×211452891 + 1, PrimeGrid
  58. ↑ Official announcement of discovery of 3638450524288 + 1, PrimeGrid
  59. ↑ Official announcement of discovery of 9221×211392194 − 1, PrimeGrid
  60. ↑ Official announcement of discovery of 3214654524288 + 1, PrimeGrid
  61. ↑ Official announcement of discovery of 146561×211280802 − 1, PrimeGrid
  62. ↑ Official announcement of discovery of 2985036524288 + 1, PrimeGrid
  63. ↑ Official announcement of discovery of 2877652524288 + 1, PrimeGrid
  64. ↑ Official announcement of discovery of 2788032524288 + 1, PrimeGrid
  65. ↑ Official announcement of discovery of 2733014524288 + 1, PrimeGrid
  66. ↑ Official announcement of discovery of 2312092524288 + 1, PrimeGrid
  67. ↑ Official announcement of discovery of 2061748524288 + 1, PrimeGrid
  68. ↑ Official announcement of discovery of 1880370524288 + 1, PrimeGrid
  69. ↑ Official announcement of discovery of 3×210829346 + 1, PrimeGrid
  70. ↑ Official announcement of discovery of 475856524288 + 1, PrimeGrid
  71. ↑ Official announcement of discovery of 356926524288 + 1, PrimeGrid
  72. ↑ Official announcement of discovery of 341112524288 + 1, PrimeGrid
  73. ↑ Official announcement of discovery of 121×29584444 + 1, PrimeGrid
  74. ↑ Official announcement of discovery of 1323365×1161323365 + 1, PrimeGrid
  75. ↑ Official announcement of discovery of 63838×53887851 − 1, PrimeGrid
  76. ↑ Official announcement of discovery of 273809×28932416 − 1, PrimeGrid
  77. ↑ Official announcement of discovery of 25×28788628 + 1, PrimeGrid
  78. 1 2 3 "CRUS - Proven Conjectures". www.noprimeleftbehind.net.
  79. ↑ Official announcement of discovery of 17×28636199 + 1, PrimeGrid
  80. ↑ Official announcement of discovery of 75898524288 + 1, PrimeGrid
  81. ↑ Official announcement of discovery of 25×28456828 + 1, PrimeGrid
  82. ↑ Official announcement of discovery of 39×28413822 + 1, PrimeGrid
  83. ↑ Official announcement of discovery of 31×28348000 + 1, PrimeGrid
  84. ↑ Official announcement of discovery of 27×28342438 − 1, PrimeGrid
  85. ↑ Official announcement of discovery of 273662×53493296 + 1, PrimeGrid
  86. ↑ 102818×53440382 − 1, PrimeGrid
  87. ↑ Official announcement of discovery of 27×27963247 + 1, PrimeGrid
  88. ↑ Official announcement of discovery of 39×27946769 + 1, PrimeGrid
  89. ↑ Official announcement of discovery of 29×27899985 + 1, PrimeGrid
  90. ↑ Official announcement of discovery of 1341174×531341174 + 1, PrimeGrid
  91. ↑ Official announcement of discovery of 45×27661004 + 1, PrimeGrid
  92. ↑ Official announcement of discovery of 15×27619838 + 1, PrimeGrid
  93. ↑ Official announcement of discovery of 45×27513661 + 1, PrimeGrid
  94. ↑ Official announcement of discovery of 29×27374577 + 1, PrimeGrid
  95. ↑ 109838×53168862 − 1, PrimeGrid
  96. ↑ Official announcement of discovery of 29×27300254 + 1, PrimeGrid
  97. ↑ 118568×53112069 + 1, PrimeGrid
  98. ↑ Official announcement of discovery of 502573×27181987 − 1, PrimeGrid
  99. ↑ Official announcement of discovery of 402539×27173024 − 1, PrimeGrid
  100. ↑ Official announcement of discovery of 161041×27107964 + 1, PrimeGrid
  101. ↑ Official announcement of discovery of 27×27046834 + 1, PrimeGrid
  102. ↑ Official announcement of discovery of 3×27033641 + 1, PrimeGrid
  103. ↑ GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
  104. ↑ 238694×52979422 − 1, PrimeGrid
  105. ↑ 146264×52953282 − 1, PrimeGrid
  106. ↑ 35816×52945294 − 1, PrimeGrid
  107. ↑ Official announcement of discovery of 19×26833086 + 1, PrimeGrid
  108. ↑ Official announcement of discovery of 40597×26808509 − 1, PrimeGrid
  109. ↑ Official announcement of discovery of 39×26684941 + 1, PrimeGrid
  110. ↑ Official announcement of discovery of 6679881×26679881 + 1, PrimeGrid
  111. ↑ Official announcement of discovery of 39×26648997 + 1, PrimeGrid
  112. 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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