英文互译镜像站

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
9822444816524288 + 13 March 20263,854,102
9922306708524288 + 128 February 20263,852,697
10021826264524288 + 125 February 20263,847,739
10167612×55501582 + 18 April 20253,845,446
10220221496524288 + 122 January 20263,830,351
10319981416524288 + 15 February 20263,827,631
10419409636524288 + 114 January 20263,821,021
10518703062524288 + 19 December 20253,812,577
10618529322524288 + 130 November 20253,810,452
10718099898524288 + 11 September 20253,805,113
10817997078524288 + 120 November 20253,803,816
10917544674524288 + 125 October 20253,798,019
11017502532524288 + 123 October 20253,797,471
11117445908524288 + 119 October 20253,796,734
11217177670524288 + 15 October 20253,793,205
11316211276524288 + 19 August 20253,780,021
11415958750524288 + 115 July 20253,776,446
11515852200524288 + 18 July 20253,774,921
116751882!/751879# + 17 December 20253,765,621
1174×55380542 + 122 February 20233,760,839
11813520762524288 + 125 February 20253,738,699
11913427472524288 + 13 March 20253,737,122
1209×212406887 + 129 March 20203,734,847
12112900356524288 + 122 January 20253,728,004
12212693488524288 + 16 January 20253,724,323
12311937916524288 + 15 October 20243,710,349
1247×212286041 − 110 June 20233,698,468
12510913140524288 + 119 June 20243,689,913
12669×212231580 − 127 July 20213,682,075
12727×212184319 + 16 February 20213,667,847
1289332124524288 + 122 June 20243,654,278
1298630170524288 + 113 April 20243,636,472
130863282×55179692 − 117 October 20243,620,456
131670490×123352450 − 117 October 20243,617,907
1324×37578378 + 19 September 20243,615,806
13311×211993994 − 115 August 20243,610,554
1343761×211978874 − 16 July 20223,606,004
13595×211954552 − 128 May 20243,598,681
136259072×55136295 − 128 October 20243,590,122
1373×211895718 − 1 23 June 20153,580,969
13837×211855148 + 130 May 20223,568,757
1396339004524288 + 18 June 20233,566,218
140763795×64582771 + 111 December 20233,566,095
1415897794524288 + 118 December 20223,549,792
1423×211731850 − 113 March 20153,531,640
14369×211718455 − 14 December 20203,527,609
14421×211715899 − 14 February 20263,526,839
1458629×211708579 − 119 September 20243,524,638
14641×211676439 + 120 June 20223,514,960
1474896418524288 + 115 May 20223,507,424
14881×211616017 + 130 August 20223,496,772
14969×211604348 − 14 December 20203,493,259
1504450871×64450871 + 117 September 20233,463,458
1519×211500843 + 113 March 20203,462,100
1523×211484018 − 122 November 20143,457,035
153193997×211452891 + 13 April 20183,447,670
15429914×54930904 + 127 September 20243,446,559
1553638450524288 + 129 May 20203,439,810
1569221×211392194 − 17 February 20213,429,397
1579×211366286 + 126 March 20203,421,594
15829 December 20253,419,518
1595×211355764 − 12 October 20213,418,427
160732050×64392301 + 19 September 20233,417,881
16110 November 20253,415,412
1623214654524288 + 124 December 20193,411,613
163632760! − 120 October 20243,395,992
164146561×211280802 − 116 November 20203,395,865
16551208×54857576 + 16 June 20243,395,305
1662985036524288 + 118 September 20193,394,739
1674591×211270837 − 12 January 20253,392,864
1686929×211255424 − 17 July 20223,388,225
1692877652524288 + 129 June 20193,386,397
1702788032524288 + 117 April 20193,379,193
1712733014524288 + 118 March 20193,374,655
1724 December 20253,366,518
1739×211158963 + 113 March 20203,359,184
1749271×211134335 − 117 January 20213,351,773
175136804×54777253 − 11 March 20243,339,162
1762312092524288 + 14 August 20183,336,572
177987324×481974648 − 112 October 20243,319,866
1782061748524288 + 120 March 20183,310,478
1791880370524288 + 115 January 20183,289,511
18027×210902757 − 17 March 20223,282,059
1813×210829346 + 114 January 20143,259,959
18211×210803449 + 129 May 20223,252,164
18311×210797109 + 129 May 20223,250,255
1847×210612737 − 119 May 20223,194,154
1857351117# + 114 September 20243,191,401
18637×210599476 + 117 June 20223,190,762
1875×210495620 − 126 September 20213,159,498
18830 June 20233,153,105
1895×210349000 − 126 September 20213,115,361
19017 January 20173,107,335
19117×210248660 − 18 August 20253,085,156
19252922×54399812 − 13 August 20233,075,342
19314 January 20173,068,389
194177742×54386703 − 124 July 20233,066,180
1954×36402015 + 19 September 20243,054,539
196874208×541748416 − 126 September 20193,028,951
197475856524288 + 18 August 20122,976,633
1982×36236772 + 120 December 20222,975,697
19915×39830108 + 119 August 20232,959,159
2009×29778263 + 15 August 20202,943,552
201198×5581061348 + 130 August 20242,915,138
2021806676×411806676 + 111 March 20182,913,785
203356926524288 + 120 June 20122,911,151
204341112524288 + 115 June 20122,900,832
205213988×54138363 − 129 November 20222,892,597
20643×29596983 − 128 February 20222,888,982
207121×29584444 + 118 November 20202,885,208
20815×29482269 − 114 August 20242,854,449
2096533299# − 118 August 20242,835,864
21011×29381365 + 17 March 20202,824,074
21115×29312889 + 17 August 20232,803,461
21297×29305542 + 110 May 20252,801,250
21393×29235048 + 17 May 20252,780,029
21449×29187790 + 111 September 20222,765,803
2156369619# + 112 August 20242,765,105
21627653×29167433 + 18 June 20052,759,677
2176354977# − 112 August 20242,758,832
21890527×29162167 + 130 June 20102,758,093
2196795×29144320 − 131 March 20212,752,719
22031×29088085 − 127 August 20242,735,788
22175×29079482 + 125 July 20232,733,199
2221323365×1161323365 + 118 January 20182,732,038
22357×29075622 − 17 August 20222,732,037
224102718281 − 5×101631138 − 5×101087142 − 16 August 20242,718,281
22563838×53887851 − 119 June 20222,717,497
22613×28989858 + 110 March 20202,706,219
227271357×28943013 − 113 October 20252,692,121
2284159×28938471 − 119 April 20222,690,752
229273809×28932416 − 113 December 20172,688,931
23093×28898285 + 14 March 20242,678,653
2312×35570081 + 114 February 20202,657,605
23225×28788628 + 11 March 20212,645,643
2332038×3661028507 − 14 April 20162,636,562
23464598×53769854 − 114 June 20222,635,020
23563×28741225 + 16 May 20242,631,373
2368×785900325 + 14 June 20222,606,325
23717×28636199 + 117 February 20212,599,757
23875898524288 + 119 November 20112,558,647
23925×28456828 + 127 January 20212,545,761
24039×28413422 + 123 January 20212,532,694
24131×28348000 + 119 January 20212,513,000
24227×28342438 − 11 February 20212,511,326
24317×28330892 − 116 July 20252,507,850
2443867×28261084 − 114 April 20212,486,838
245101×28152967 + 12 December 20232,454,290
2469×28128075 − 18 July 20252,446,796
247273662×53493296 − 1 7 December 20212,441,715
24881×28109236 + 19 September 20222,441,126
24911×28103463 + 16 March 20202,439,387
250102818×53440382 − 1 8 October 20212,404,729
2519×27979119 − 18 July 20252,401,956
25211×27971110 − 125 November 20192,399,545
25327×27963247 + 114 January 20212,397,178
2543177×27954621 − 113 June 20212,394,584
25539×27946769 + 114 January 20212,392,218
2567×63072198 + 14 August 20192,390,636
2573765×27904593 − 110 January 20212,379,524
25829×27899985 + 114 January 20212,378,134
2595113×27895471 − 127 November 20222,376,778
260861×27895451 − 121 February 20212,376,771
26175×27886683 + 14 September 20232,374,131
2623243959×27862047 + 13 December 20252,366,719
2632661×27861390 − 128 December 20242,366,518
26421×27838882 − 115 August 20252,359,740
26530397×27838120 + 117 August 20252,359,514
26699×27830910 + 124 April 20242,357,341
26728433×27830457 + 131 December 20042,357,207
2682589×27803339 − 121 August 20222,349,043
26959×27792307 + 124 April 20242,345,720
270101×27784453 + 124 April 20242,343,356
27195×27778585 + 124 April 20242,341,590
2728401×27767655 − 124 April 20232,338,302
2739693×27767343 − 117 November 20232,338,208
2745×27755002 − 123 September 20212,334,489
2752945×27753232 − 127 November 20222,333,959
2762×836798431 + 110 September 20242,333,181
27763×27743186 + 124 April 20242,330,934
2782545×27732265 − 113 January 20212,327,648
2795539×27730709 − 115 January 20212,327,180
2804817×27719584 − 113 June 20212,323,831
281183×558842752 + 123 August 20242,314,734
2821341174×531341174 + 121 August 20172,312,561
2839467×27680034 − 120 February 20222,311,925
28445×27661004 + 113 December 20202,306,194
28515×27619838 + 16 December 20202,293,801
2863645×27610003 − 128 August 20252,290,843
2873597×27580693 − 110 January 20212,282,020
2885256037# + 16 August 20242,281,955
28938118498221×27552807 + 17 October 20252,273,633
2903129×27545557 − 114 March 20232,271,443
2917401×27523295 − 121 February 20212,264,742
29245×27513661 + 112 November 20202,261,839
29311 January 20172,259,865
2942739×27483537 − 11 May 20252,252,773
2959×27479919 − 13 June 20232,251,681
2961875×27474308 − 121 August 20222,249,995
29769×27452023 + 123 March 20232,243,285
2981281879×27447178 + 127 December 20232,241,831
2999107×27417464 − 13 May 20252,232,884
3004×53189669 − 112 July 20222,229,484
30119×27383785 − 111 July 20252,222,743
30229×27374577 + 127 October 20202,219,971
3032653×27368343 − 118 September 20242,218,096
30421555×27364128 − 14 September 20242,216,828
3053197×27359542 − 127 November 20222,215,447
306109838×53168862 − 113 August 20202,214,945
30795×27354869 + 125 September 20232,214,039
308101×27345194 − 15 October 20192,211,126
30985×27333444 + 125 September 20232,207,589
31015×27300254 + 125 October 20202,197,597
3116733×27285527 − 126 October 20252,193,166
312422429! + 121 February 20222,193,027
3131759×27284439 − 128 August 20212,192,838
3141909683×141909683 + 127 May 20232,188,748
315737×27269322 − 110 August 20172,188,287
3166909×27258896 − 118 September 20242,185,150
31793×27241494 + 125 September 20232,179,909
318118568×53112069 + 11 May 20202,175,248
3194215×27221386 − 127 December 20242,173,858
32040×257901632 + 111 September 20242,172,875
3211685×27213108 − 113 April 20252,171,366
322580633×27208783 − 115 February 20242,170,066
3236039×27207973 − 124 March 20212,169,820
3241871×27207954 − 126 September 20252,169,814
325502573×27181987 − 14 October 20142,162,000
326402539×27173024 − 12 October 20142,159,301
3273343×27166019 − 129 September 20162,157,191
3284137×27132569 − 111 April 20252,147,121
329161041×27107964 + 16 January 20152,139,716
330294×213918952 − 119 September 20232,139,672
33117×27101254 − 111 July 20252,137,692
33227×27046834 + 111 October 20182,121,310
3331759×27046791 − 128 August 20212,121,299
334327×27044001 − 113 January 20212,120,459
3355×27037188 − 122 September 20212,118,406
3363×27033641 + 121 February 20112,117,338
337625783×27031319 − 110 February 20242,116,644
33833661×27031232 + 130 October 20072,116,617
3396 January 20172,114,016
340207494×53017502 − 116 March 20202,109,149
34115×26993631 − 125 August 20212,105,294
3428943501×26972593 − 18 January 20222,098,967
3436020095×26972593 − 14 September 20222,098,967
34426972593 − 1 1 June 19992,098,960
345100206278262144 + 126 January 20262,097,387
346100013182262144 + 126 January 20262,097,168
347273×26963847 − 116 November 20222,096,330
3486219×26958945 − 17 January 20212,094,855
34951×26945567 + 126 May 20202,090,826
3508×102084563 − 11 June 20252,084,564
3513323×26921196 − 118 September 20242,083,492
352238694×52979422 − 112 March 20202,082,532
3534×721119849 − 17 September 20162,079,933
35484561734262144 + 17 March 20262,078,062
355129×26900230 + 15 June 20252,077,179
35683479504262144 + 12 March 20262,076,595
35783211382262144 + 127 February 20262,076,229
35833×26894190 − 127 July 20212,075,360
35982060924262144 + 120 February 20262,074,644
3604778027# − 131 July 20242,073,926
361105×26884697 + 12 June 20252,072,503
36280514060262144 + 110 February 20262,072,477
3632345×26882320 − 113 April 20222,071,789
36479523718262144 + 15 February 20262,071,068
36577784266262144 + 120 January 20262,068,550
36677708974262144 + 119 January 20262,068,440
36777662142262144 + 118 January 20262,068,372
36877586084262144 + 117 January 20262,068,260
36977412518262144 + 114 January 20262,068,005
37076013952262144 + 125 December 20252,065,929
37175810636262144 + 120 December 20252,065,624
37275753274262144 + 120 December 20252,065,538
37357×26857990 + 117 August 20232,064,463
374146264×52953282 − 19 March 20202,064,261
37574732694262144 + 110 December 20252,063,994
37674716572262144 + 110 December 20252,063,970
37774399970262144 + 15 December 20252,063,486
37874336726262144 + 14 December 20252,063,389
37973597220262144 + 125 November 20252,062,251
38073589294262144 + 124 November 20252,062,239
38173465436262144 + 121 November 20252,062,047
38273116844262144 + 113 November 20252,061,505
38372862906262144 + 19 November 20252,061,109
38472752758262144 + 14 November 20252,060,937
38572718062262144 + 14 November 20252,060,883
38672071732262144 + 122 October 20252,059,866
38771737620262144 + 118 October 20252,059,337
38871380700262144 + 113 October 20252,058,770
38969×26838971 − 11 March 20202,058,738
39035816×52945294 − 15 March 20202,058,677
39171107798262144 + 111 October 20252,058,333
392127×26836153 − 125 June 20182,057,890
393105×26835099 + 126 May 20252,057,572
39470520422262144 + 129 September 20252,057,389
39570349734262144 + 127 September 20252,057,113
39619×26833086 + 124 October 20202,056,966
39769844790262144 + 122 September 20252,056,293
39869810332262144 + 122 September 20252,056,237
39969290228262144 + 120 September 20252,055,386
40069170386262144 + 113 September 20252,055,189
40168717884262144 + 130 August 20252,054,441
40268000464262144 + 110 August 20252,053,246
40367886950262144 + 19 August 20252,053,056
40467673558262144 + 15 August 20252,052,698
40567535128262144 + 12 August 20252,052,465
40667433562262144 + 12 August 20252,052,293
40767167678262144 + 124 July 20252,051,844
40867141518262144 + 124 July 20252,051,799
40967062340262144 + 122 July 20252,051,665
41066498472262144 + 18 July 20252,050,704
41166342922262144 + 14 July 20252,050,437
41266266188262144 + 13 July 20252,050,305
41365×26810465 + 122 September 20232,050,157
41440597×26808509 − 125 December 20132,049,571
415283×26804701 − 119 January 20202,048,431
41665136498262144 + 120 June 20252,048,348
41764989720262144 + 118 June 20252,048,091
41864074894262144 + 130 May 20252,046,447
41964010198262144 + 130 May 20252,046,362
42063833640262144 + 127 May 20252,046,047
4218×102045966 − 131 May 20252,045,967
42263784742262144 + 126 May 20252,045,960
42363558122262144 + 127 May 20252,045,555
42463448958262144 + 122 May 20252,045,359
42563286690262144 + 119 May 20252,045,068
42662767176262144 + 19 May 20252,044,129
42762747994262144 + 19 May 20252,044,095
4281861209×26789999 + 12 December 20202,044,000
4295817×26789459 − 19 January 20212,043,835
43062311952262144 + 13 May 20252,043,301
43162199610262144 + 15 May 20252,043,095
43262152830262144 + 11 May 20252,043,010
43362136706262144 + 12 May 20252,042,980
4348435×26786180 − 17 January 20212,042,848
43561238184262144 + 121 April 20252,041,322
436119×26777781 + 118 May 20252,040,318
43759145944262144 + 129 March 20252,037,364
43858936230262144 + 128 March 20252,036,960
43958870004262144 + 128 March 20252,036,832
44058846688262144 + 128 March 20252,036,787
44158333324262144 + 128 March 20252,035,789
44258288282262144 + 128 March 20252,035,701
44357643582262144 + 128 March 20252,034,435
44457594478262144 + 128 March 20252,034,338
44557478518262144 + 128 March 20252,034,108
44657429230262144 + 127 March 20252,034,111
44751×26753404 + 126 May 20202,032,979
44893×26750726 + 118 September 20232,032,173
44956303352262144 + 127 March 20252,031,757
45056295176262144 + 126 March 20252,031,740
45155952434262144 + 126 March 20252,031,045
45255892864262144 + 127 March 20252,030,920
45369×26745775 + 121 March 20232,030,683
45455702322262144 + 127 March 20252,030,535
45555695224262144 + 125 March 20252,030,520
45655169618262144 + 125 March 20252,029,441
45755007338262144 + 125 March 20252,029,105
45854852328262144 + 125 March 20252,028,784
45954528918262144 + 126 March 20252,028,111
46054044092262144 + 124 March 20252,027,094
46153903472262144 + 124 March 20252,026,797
46253750036262144 + 124 March 20252,026,473
46353616962262144 + 128 March 20252,026,191
46453311612262144 + 124 March 20252,025,540
4654681×26728157 − 125 August 20252,025,381
46653008094262144 + 123 March 20252,024,890
46752648144262144 + 121 March 20252,024,115
46852599274262144 + 120 March 20252,024,009
46952592976262144 + 121 March 20252,023,995
470117×26719464 + 110 May 20252,022,763
47151992174262144 + 116 March 20252,022,687
47251852794262144 + 114 March 20252,022,382
47351714136262144 + 113 March 20252,022,077
47451283286262144 + 19 March 20252,021,124
47551125138262144 + 17 March 20252,020,773
4769995×26711008 − 131 December 20202,020,219
47750454356262144 + 11 March 20252,019,269
47850449664262144 + 128 February 20252,019,259
47950366208262144 + 128 February 20252,019,070
48050121532262144 + 127 February 20252,018,516
48149536902262144 + 125 February 20252,017,180
48249235348262144 + 123 February 20252,016,485
48349209090262144 + 123 February 20252,016,424
48448055302262144 + 118 February 20252,013,723
48547707672262144 + 116 February 20252,012,896
48639×26684941 + 120 October 20202,012,370
48747351862262144 + 115 February 20252,012,044
48847281922262144 + 113 February 20252,011,876
48947255958262144 + 113 February 20252,011,813
4906679881×26679881 + 125 July 20092,010,852
49146831458262144 + 111 February 20252,010,786
49246378776262144 + 18 February 20252,009,680
49345073202262144 + 121 January 20252,006,469
49445007104262144 + 119 January 20252,006,202
49544819108262144 + 114 January 20252,005,786
49644666524262144 + 112 January 20252,005,397
49737×26660841 − 130 July 20142,005,115
49844144624262144 + 129 December 20242,004,059
49944030166262144 + 130 December 20242,003,764
50043330794262144 + 13 December 20242,001,941
50139×26648997 + 120 October 20202,001,550
50242781592262144 + 118 November 20242,000,489
503102000007 − 101127194 − 10872812 − 112 January 20242,000,007
504102000005 − 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 [126] 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 22444816524288 + 1, PrimeGrid
  43. ↑ Official announcement of discovery of 22306708524288 + 1, PrimeGrid
  44. ↑ Official announcement of discovery of 21826264524288 + 1, PrimeGrid
  45. ↑ Official announcement of discovery of 67612×55501582 + 1, PrimeGrid
  46. ↑ Official announcement of discovery of 19981416524288 + 1, PrimeGrid
  47. ↑ Official announcement of discovery of 19409636524288 + 1, PrimeGrid
  48. ↑ Official announcement of discovery of 18703062524288 + 1, PrimeGrid
  49. ↑ Official announcement of discovery of 18529322524288 + 1, PrimeGrid
  50. ↑ Official announcement of discovery of 17997078524288 + 1, PrimeGrid
  51. ↑ Official announcement of discovery of 17544674524288 + 1, PrimeGrid
  52. ↑ Official announcement of discovery of 17502532524288 + 1, PrimeGrid
  53. ↑ Official announcement of discovery of 17177670524288 + 1, PrimeGrid
  54. ↑ Official announcement of discovery of 17177670524288 + 1, PrimeGrid
  55. ↑ Official announcement of discovery of 16211276524288 + 1, PrimeGrid
  56. ↑ Official announcement of discovery of 15958750524288 + 1, PrimeGrid
  57. ↑ Official announcement of discovery of 15852200524288 + 1, PrimeGrid
  58. ↑ Official announcement of discovery of 13520762524288 + 1, PrimeGrid
  59. ↑ Official announcement of discovery of 13427472524288 + 1, PrimeGrid
  60. ↑ Official announcement of discovery of 12900356524288 + 1, PrimeGrid
  61. ↑ Official announcement of discovery of 12693488524288 + 1, PrimeGrid
  62. ↑ Official announcement of discovery of 11937916524288 + 1, PrimeGrid
  63. ↑ Official announcement of discovery of 10913140524288 + 1, PrimeGrid
  64. ↑ Official announcement of discovery of 9332124524288 + 1, PrimeGrid
  65. ↑ Official announcement of discovery of 8630170524288 + 1, PrimeGrid
  66. ↑ Official announcement of discovery of 3×211895718−1, PrimeGrid
  67. ↑ Official announcement of discovery of 6339004524288 + 1, PrimeGrid
  68. ↑ Official announcement of discovery of 3×211731850 − 1, PrimeGrid
  69. ↑ Official announcement of discovery of 4896418524288 + 1, PrimeGrid
  70. ↑ Official announcement of discovery of 3×211484018 − 1, PrimeGrid
  71. ↑ Official announcement of discovery of 193997×211452891 + 1, PrimeGrid
  72. ↑ Official announcement of discovery of 3638450524288 + 1, PrimeGrid
  73. ↑ Official announcement of discovery of 9221×211392194 − 1, PrimeGrid
  74. ↑ Official announcement of discovery of 3214654524288 + 1, PrimeGrid
  75. ↑ Official announcement of discovery of 146561×211280802 − 1, PrimeGrid
  76. ↑ Official announcement of discovery of 2985036524288 + 1, PrimeGrid
  77. ↑ Official announcement of discovery of 2877652524288 + 1, PrimeGrid
  78. ↑ Official announcement of discovery of 2788032524288 + 1, PrimeGrid
  79. ↑ Official announcement of discovery of 2733014524288 + 1, PrimeGrid
  80. ↑ Official announcement of discovery of 2312092524288 + 1, PrimeGrid
  81. ↑ Official announcement of discovery of 2061748524288 + 1, PrimeGrid
  82. ↑ Official announcement of discovery of 1880370524288 + 1, PrimeGrid
  83. ↑ Official announcement of discovery of 3×210829346 + 1, PrimeGrid
  84. ↑ Official announcement of discovery of 475856524288 + 1, PrimeGrid
  85. ↑ Official announcement of discovery of 356926524288 + 1, PrimeGrid
  86. ↑ Official announcement of discovery of 341112524288 + 1, PrimeGrid
  87. ↑ Official announcement of discovery of 121×29584444 + 1, PrimeGrid
  88. ↑ Official announcement of discovery of 1323365×1161323365 + 1, PrimeGrid
  89. ↑ Official announcement of discovery of 63838×53887851 − 1, PrimeGrid
  90. ↑ Official announcement of discovery of 273809×28932416 − 1, PrimeGrid
  91. ↑ Official announcement of discovery of 25×28788628 + 1, PrimeGrid
  92. 1 2 3 "CRUS - Proven Conjectures". www.noprimeleftbehind.net.
  93. ↑ Official announcement of discovery of 17×28636199 + 1, PrimeGrid
  94. ↑ Official announcement of discovery of 75898524288 + 1, PrimeGrid
  95. ↑ Official announcement of discovery of 25×28456828 + 1, PrimeGrid
  96. ↑ Official announcement of discovery of 39×28413822 + 1, PrimeGrid
  97. ↑ Official announcement of discovery of 31×28348000 + 1, PrimeGrid
  98. ↑ Official announcement of discovery of 27×28342438 − 1, PrimeGrid
  99. ↑ Official announcement of discovery of 273662×53493296 + 1, PrimeGrid
  100. ↑ 102818×53440382 − 1, PrimeGrid
  101. ↑ Official announcement of discovery of 27×27963247 + 1, PrimeGrid
  102. ↑ Official announcement of discovery of 39×27946769 + 1, PrimeGrid
  103. ↑ Official announcement of discovery of 29×27899985 + 1, PrimeGrid
  104. ↑ Official announcement of discovery of 1341174×531341174 + 1, PrimeGrid
  105. ↑ Official announcement of discovery of 45×27661004 + 1, PrimeGrid
  106. ↑ Official announcement of discovery of 15×27619838 + 1, PrimeGrid
  107. ↑ Official announcement of discovery of 45×27513661 + 1, PrimeGrid
  108. ↑ Official announcement of discovery of 29×27374577 + 1, PrimeGrid
  109. ↑ 109838×53168862 − 1, PrimeGrid
  110. ↑ Official announcement of discovery of 29×27300254 + 1, PrimeGrid
  111. ↑ 118568×53112069 + 1, PrimeGrid
  112. ↑ Official announcement of discovery of 502573×27181987 − 1, PrimeGrid
  113. ↑ Official announcement of discovery of 402539×27173024 − 1, PrimeGrid
  114. ↑ Official announcement of discovery of 161041×27107964 + 1, PrimeGrid
  115. ↑ Official announcement of discovery of 27×27046834 + 1, PrimeGrid
  116. ↑ Official announcement of discovery of 3×27033641 + 1, PrimeGrid
  117. ↑ GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
  118. ↑ 238694×52979422 − 1, PrimeGrid
  119. ↑ 146264×52953282 − 1, PrimeGrid
  120. ↑ 35816×52945294 − 1, PrimeGrid
  121. ↑ Official announcement of discovery of 19×26833086 + 1, PrimeGrid
  122. ↑ Official announcement of discovery of 40597×26808509 − 1, PrimeGrid
  123. ↑ Official announcement of discovery of 39×26684941 + 1, PrimeGrid
  124. ↑ Official announcement of discovery of 6679881×26679881 + 1, PrimeGrid
  125. ↑ Official announcement of discovery of 39×26648997 + 1, PrimeGrid
  126. 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
This page is based on this Wikipedia article
Text is available under the CC BY-SA 4.0 license; additional terms may apply.
Images, videos and audio are available under their respective licenses.
网站镜像克隆 批量镜像网站 批量镜像网站 网站离线镜像 主动推送镜像站群