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
1669×224612729 – 113 August 20247,409,172
17224036583 – 1 15 May 20047,235,733
18107347×223427517 – 14 August 20247,052,391
1938432361048576 + 1 17 December 20246,904,556
203×222103376 − 130 September 20246,653,780
2119637361048576 + 1 24 September 20226,598,776
2219517341048576 + 1 9 August 20226,595,985
23202705×221320516 + 1 25 November 20216,418,121
24220996011 – 1 17 November 20036,320,430
2510590941048576 + 1 31 October 20186,317,602
263×220928756 − 15 July 20236,300,184
279194441048576 + 1 29 August 20176,253,210
2881×220498148 + 113 June 20236,170,560
297×220267500 + 121 July 20226,101,127
304×58431178 + 12 January 20245,893,142
31168451×219375200 + 1 17 September 20175,832,522
3269×219374980 − 13 July 20225,832,452
333×218924888 − 124 March 20225,696,990
3469×218831865 − 116 December 20215,668,959
352×311879700 + 122 June 20245,668,058
3697139×218397548 − 123 April 20235,538,219
377×218233956 + 11 October 20205,488,969
383×218196595 − 18 January 20225,477,722
394×311279466 + 110 September 20245,381,674
403×217748034 − 1 6 September 20215,342,692
4123 February 20175,338,805
423622×57558139 − 118 February 20225,282,917
437×66772401 + 19 September 20195,269,954
442×310852677 + 18 January 20235,178,044
458508301×217016603 – 1 21 March 20185,122,515
468×105112848 – 130 January 20245,112,848
4713×216828072 + 111 October 20235,065,756
483×216819291 – 1 20 January 20215,063,112
495287180×310574360 – 13 November 20245,045,259
503×216408818 + 1 25 October 20204,939,547
512329989×216309923 – 113 February 20244,909,783
5269×215866556 + 120 August 20214,776,312
532036×310009192 + 115 February 20244,775,602
542525332×732525332 + 128 August 20214,705,888
551419499×215614489 + 19 February 20244,700,436
5611×215502315 + 18 January 20234,666,663
57(102332974 + 1)2-220 February 20244,665,949
5837×215474010 + 18 November 20224,658,143
5993839×215337656 – 128 November 20224,617,100
60215317227+27658614 + 131 July 20204,610,945
6113×215294536 + 130 September 20234,604,116
626×56546983 + 113 June 20204,576,146
634788920×39577840 – 114 February 20244,569,798
6431×215145093 – 19 February 20254,559,129
6569×214977631 – 13 December 20214,508,719
66192971×214773498 – 17 March 20214,447,272
674×39214845 + 110 September 20244,396,600
689145334×39145334 + 125 December 20234,363,441
694×56181673 – 115 July 20224,320,805
70396101×214259638 – 13 February 20244,292,585
716962×312863120 – 129 February 20204,269,952
7237×214166940 + 124 June 20224,264,676
7399739×214019102 – 1 24 December 20194,220,176
7469×213832885 – 117 January 20224,164,116
75404849×213764867 + 110 March 20214,143,644
7625×213719266 + 120 September 20224,129,912
7781×213708272 + 111 October 20224,126,603
782740879×213704395 – 126 October 20194,125,441
79479216×38625889 – 116 November 20194,115,601
8031×213514933 – 19 February 20254,068,402
8130 January 20174,055,114
8281×213470584 + 19 October 20224,055,052
83213466917 – 1 14 November 20014,053,946
845778486×55778486 + 115 August 20244,038,996
859×213334487 + 131 March 20204,014,082
86206039×213104952 − 126 April 20213,944,989
872805222×55610444 + 1 2 September 20193,921,539
885128×222919993 + 15 December 20243,919,869
8919249×213018586 + 126 March 20073,918,990
902293×212918431 − 113 February 20213,888,839
9181×212804541 + 119 September 20223,854,553
924×55380542 + 122 February 20233,760,839
9313520762524288 + 125 February 20253,738,699
9413427472524288 + 13 March 20253,737,122
959×212406887 + 129 March 20203,734,847
9612900356524288 + 122 January 20253,728,004
9712693488524288 + 16 January 20253,724,323
9811937916524288 + 15 October 20243,710,349
997×212286041 − 110 June 20233,698,468
10010913140524288 + 119 June 20243,689,913
10169×212231580 − 127 July 20213,682,075
10227×212184319 + 16 February 20213,667,847
1039332124524288 + 122 June 20243,654,278
1048630170524288 + 113 April 20243,636,472
105863282×55179692 - 117 October 20243,620,456
106670490×123352450 - 117 October 20243,617,907
1074×37578378 + 19 September 20243,615,806
10811×211993994 − 115 August 20243,610,554
1093761×211978874 − 16 July 20223,606,004
11095×211954552 − 128 May 20243,598,681
111259072×55136295 − 128 October 20243,590,122
1123×211895718 − 1 23 June 20153,580,969
11337×211855148 + 130 May 20223,568,757
1146339004524288 + 18 June 20233,566,218
115763795×64582771 + 111 December 20233,566,095
1165897794524288 + 118 December 20223,549,792
1173×211731850 − 113 March 20153,531,640
11869×211718455 − 14 December 20203,527,609
1198629×211708579 – 119 September 20243,524,638
12041×211676439 + 120 June 20223,514,960
1214896418524288 + 115 May 20223,507,424
12281×211616017 + 130 August 20223,496,772
12369×211604348 − 14 December 20203,493,259
1244450871×64450871 + 117 September 20233,463,458
1259×211500843 + 113 March 20203,462,100
1263×211484018 − 122 November 20143,457,035
127193997×211452891 +13 April 20183,447,670
12829914×54930904 +127 September 20243,446,559
1293638450524288 +129 May 20203,439,810
1309221×211392194 -17 February 20213,429,397
1319×211366286 +126 March 20203,421,594
1325×211355764 -12 October 20213,418,427
133732050×64392301 +19 September 20233,417,881
1343214654524288 +124 December 20193,411,613
135632760! - 120 October 20243,395,992
136146561×211280802 -116 November 20203,395,865
13751208×54857576 +16 June 20243,395,305
1382985036524288 +118 September 20193,394,739
1394591×211270837 -12 January 20253,392,864
1406929×211255424 -17 July 20223,388,225
1412877652524288 +129 June 20193,386,397
1422788032524288 +117 April 20193,379,193
1432733014524288 +118 March 20193,374,655
1449×211158963 +113 March 20203,359,184
1459271×211134335 -117 January 20213,351,773
146136804×54777253 -11 March 20243,339,162
1472312092524288 + 14 August 20183,336,572
148987324×481974648 - 112 October 20243,319,866
1492061748524288 + 120 March 20183,310,478
1501880370524288 + 115 January 20183,289,511
15127×210902757 − 17 March 20223,282,059
1523×210829346 + 114 January 20143,259,959
15311×210803449 + 129 May 20223,252,164
15411×210797109 + 129 May 20223,250,255
1557×210612737 − 119 May 20223,194,154
1567351117# + 114 September 20243,191,401
15737×210599476 + 117 June 20223,190,762
1585×210495620 − 126 September 20213,159,498
15930 June 20233,153,105
1605×210349000 − 126 September 20213,115,361
16117 January 20173,107,335
16252922×54399812 – 13 August 20233,075,342
16314 January 20173,068,389
164177742×54386703 – 124 July 20233,066,180
1654×36402015 + 19 September 20243,054,539
166874208×541748416 – 126 September 20193,028,951
167475856524288 + 18 August 20122,976,633
1682×36236772 + 120 December 20222,975,697
16915×39830108 + 119 August 20232,959,159
1709×29778263 + 15 August 20202,943,552
171198×5581061348 + 130 August 20242,915,138
1721806676×411806676 + 111 March 20182,913,785
173356926524288 + 120 June 20122,911,151
174341112524288 + 115 June 20122,900,832
175213988×54138363 – 129 November 20222,892,597
17643×29596983 – 128 February 20222,888,982
177121×29584444 + 118 November 20202,885,208
17815×29482269 – 114 August 20242,854,449
1796533299# - 118 August 20242,835,864
18011×29381365 + 17 March 20202,824,074
18115×29312889 + 17 August 20232,803,461
18249×29187790 + 111 September 20222,765,803
1836369619# + 112 August 20242,765,105
18427653×29167433 + 18 June 20052,759,677
1856354977# − 112 August 20242,758,832
18690527×29162167 + 130 June 20102,758,093
1876795×29144320 − 131 March 20212,752,719
18831×29088085 − 127 August 20242,735,788
18975×29079482 + 125 July 20232,733,199
1901323365×1161323365 + 118 January 20182,732,038
19157×29075622 – 17 August 20222,732,037
192102718281-5×101631138-5×101087142 – 16 August 20242,718,281
19363838×53887851 – 119 June 20222,717,497
19413×28989858 + 110 March 20202,706,219
1954159×28938471 − 119 April 20222,690,752
196273809×28932416 − 113 December 20172,688,931
19793×28898285 + 14 March 20242,678,653
1982×35570081 + 114 February 20202,657,605
19925×28788628 + 11 March 20212,645,643
2002038×3661028507 − 14 April 20162,636,562
20164598×53769854 − 114 June 20222,635,020
20263×28741225 + 16 May 20242,631,373
2038×785900325 + 14 June 20222,606,325
20417×28636199 + 117 February 20212,599,757
20575898524288 + 119 November 20112,558,647
20625×28456828 + 127 January 20212,545,761
20739×28413422 + 123 January 20212,532,694
20831×28348000 + 119 January 20212,513,000
20927×28342438 − 11 February 20212,511,326
2103867×28261084 − 114 April 20212,486,838
211101×28152967 + 12 December 20232,454,290
212273662×53493296 − 1 7 December 20212,441,715
21381×28109236 + 19 September 20222,441,126
21411×28103463 + 16 March 20202,439,387
215102818×53440382 − 1 8 October 20212,404,729
21611×27971110 − 125 November 20192,399,545
21727×27963247 + 114 January 20212,397,178
2183177×27954621 − 113 June 20212,394,584
21939×27946769 + 114 January 20212,392,218
2207×63072198 + 14 August 20192,390,636
2213765×27904593 − 110 January 20212,379,524
22229×27899985 + 114 January 20212,378,134
2235113×27895471 − 127 November 20222,376,778
224861×27895451 − 121 February 20212,376,771
22575×27886683 + 14 September 20232,374,131
2262661×27861390 - 128 December 20242,366,518
22799×27830910 + 124 April 20242,357,341
22828433×27830457 + 131 December 20042,357,207
2292589×27803339 − 121 August 20222,349,043
23059×27792307 + 124 April 20242,345,720
231101×27784453 + 124 April 20242,343,356
23295×27778585 + 124 April 20242,341,590
2338401×27767655 − 124 April 20232,338,302
2349693×27767343 − 117 November 20232,338,208
2355×27755002 − 123 September 20212,334,489
2362945×27753232 − 127 November 20222,333,959
2372×836798431 + 110 September 20242,333,181
23863×27743186 + 124 April 20242,330,934
2392545×27732265 − 113 January 20212,327,648
2405539×27730709 − 115 January 20212,327,180
2414817×27719584 − 113 June 20212,323,831
242183×558842752 + 123 August 20242,314,734
2431341174×531341174 + 121 August 20172,312,561
2449467×27680034 − 120 February 20222,311,925
24545×27661004 + 113 December 20202,306,194
24615×27619838 + 16 December 20202,293,801
2473597×27580693 − 110 January 20212,282,020
2485256037# + 16 August 20242,281,955
2493129×27545557 − 114 March 20232,271,443
2507401×27523295 − 121 February 20212,264,742
25145×27513661 + 112 November 20202,261,839
25211 January 20172,259,865
2539×27479919 − 13 June 20232,251,681
2541875×27474308 − 121 August 20222,249,995
25569×27452023 + 123 March 20232,243,285
2561281879×27447178 + 127 December 20232,241,831
2574×53189669 − 112 July 20222,229,484
25829×27374577 + 127 October 20202,219,971
2592653×27368343 − 118 September 20242,218,096
26021555×27364128 − 14 September 20242,216,828
2613197×27359542 − 127 November 20222,215,447
262109838×53168862 − 113 August 20202,214,945
26395×27354869 + 125 September 20232,214,039
264101×27345194 − 15 October 20192,211,126
26585×27333444 + 125 September 20232,207,589
26615×27300254 + 125 October 20202,197,597
267422429! + 121 February 20222,193,027
2681759×27284439 − 128 August 20212,192,838
2691909683×141909683 + 127 May 20232,188,748
270737×27269322 − 110 August 20172,188,287
2716909×27258896 − 118 September 20242,185,150
27293×27241494 + 125 September 20232,179,909
273118568×53112069 + 11 May 20202,175,248
2744215×27221386 − 127 December 20242,173,858
27540×257901632 + 111 September 20242,172,875
276580633×27208783 − 115 February 20242,170,066
2776039×27207973 − 124 March 20212,169,820
278502573×27181987 − 14 October 20142,162,000
279402539×27173024 − 12 October 20142,159,301
2803343×27166019 − 129 September 20162,157,191
281161041×27107964 + 16 January 20152,139,716
282294×213918952 – 119 September 20232,139,672
28327×27046834 + 111 October 20182,121,310
2841759×27046791 − 128 August 20212,121,299
285327×27044001 − 113 January 20212,120,459
2865×27037188 − 122 September 20212,118,406
2873×27033641 + 121 February 20112,117,338
288625783×27031319 − 110 February 20242,116,644
28933661×27031232 + 130 October 20072,116,617
2906 January 20172,114,016
291207494×53017502 – 116 March 20202,109,149
29215×26993631 – 125 August 20212,105,294
2938943501×26972593 – 18 January 20222,098,967
2946020095×26972593 – 14 September 20222,098,967
29526972593 – 1 1 June 19992,098,960
296273×26963847 – 116 November 20222,096,330
2976219×26958945 – 17 January 20212,094,855
29851×26945567 + 126 May 20202,090,826
2993323×26921196 – 118 September 20242,083,492
300238694×52979422 – 112 March 20202,082,532
3014×721119849 − 17 September 20162,079,933
30233×26894190 – 127 July 20212,075,360
3034778027# − 131 July 20242,073,926
3042345×26882320 – 113 April 20222,071,789
30557×26857990 + 117 August 20232,064,463
306146264×52953282 – 19 March 20202,064,261
30769×26838971 – 11 March 20202,058,738
30835816×52945294 – 15 March 20202,058,677
309127×26836153 – 125 June 20182,057,890
31019×26833086 + 124 October 20202,056,966
31165×26810465 + 122 September 20232,050,157
31240597×26808509 – 125 December 20132,049,571
313283×26804701 – 119 January 20202,048,431
3141861209×26789999 + 12 December 20202,044,000
3155817×26789459 – 19 January 20212,043,835
3168435×26786180 – 17 January 20212,042,848
31751×26753404 + 126 May 20202,032,979
31893×26750726 + 118 September 20232,032,173
31969×26745775 + 121 March 20232,030,683
32051992174262144 + 116 March 20252,022,687
32151852794262144 + 114 March 20252,022,382
32251714136262144 + 113 March 20252,022,077
32351283286262144 + 19 March 20252,021,124
32451125138262144 + 17 March 20252,020,773
3259995×26711008 – 131 December 20202,020,219
32650454356262144 + 11 March 20252,019,269
32750449664262144 + 128 February 20252,019,259
32850366208262144 + 128 February 20252,019,070
32950121532262144 + 127 February 20252,018,516
33049536902262144 + 125 February 20252,017,180
33149235348262144 + 123 February 20252,016,485
33249209090262144 + 123 February 20252,016,424
33348055302262144 + 118 February 20252,013,723
33447707672262144 + 116 February 20252,012,896
33539×26684941 + 120 October 20202,012,370
33647351862262144 + 115 February 20252,012,044
33747281922262144 + 113 February 20252,011,876
33847255958262144 + 113 February 20252,011,813
3396679881×26679881 + 125 July 20092,010,852
34046831458262144 + 111 February 20252,010,786
34146378776262144 + 18 February 20252,009,680
34245073202262144 + 121 January 20252,006,469
34345007104262144 + 119 January 20252,006,202
34444819108262144 + 114 January 20252,005,786
34544666524262144 + 112 January 20252,005,397
34637×26660841 − 130 July 20142,005,115
34744144624262144 + 129 December 20242,004,059
34844030166262144 + 130 December 20242,003,764
34943330794262144 + 13 December 20242,001,941
35039×26648997 + 120 October 20202,001,550
35142781592262144 + 118 November 20242,000,489
352102000007 – 101127194 – 10872812 – 112 January 20242,000,007
353102000005 – 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 [106] 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
17October 20232,614,858
183 June 20242,482,834
19August 20202,449,236
20August 20222,388,581
2150018654465 + 54465500186August 20242,368,940
22July 20212,358,349
23February 20222,307,015
24December 20232,239,990
251 March 20182,201,714
26December 20232,181,134
27July 20242,174,370
28 F(10367321)10 August 20242,166,642
29July 20242,166,255
3034532794 + 45327943October 20232,162,693
31 F(10317107)27 July 20242,156,148
3227 October 20172,131,318
33360834356345 + 356345360834February 20242,003,304
34360339356572 + 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 press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  17. ↑ Official announcement of discovery of 38432361048576 + 1, PrimeGrid
  18. ↑ Official announcement of discovery of 3×222103376 − 1, PrimeGrid
  19. ↑ Official announcement of discovery of 19637361048576 + 1, PrimeGrid
  20. ↑ Official announcement of discovery of 19517341048576 + 1, PrimeGrid
  21. ↑ Official announcement of discovery of 202705×221320516 + 1, PrimeGrid
  22. ↑ "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  23. ↑ Official announcement of discovery of 10590941048576 + 1, PrimeGrid
  24. ↑ Official announcement of discovery of 3×220928756 − 1, PrimeGrid
  25. ↑ Official announcement of discovery of 9194441048576 + 1, PrimeGrid
  26. ↑ Official announcement of discovery of 168451×219375200 + 1, PrimeGrid
  27. ↑ Official announcement of discovery of 3×218924888 − 1, PrimeGrid
  28. ↑ Official announcement of discovery of 3×218196595 − 1, PrimeGrid
  29. ↑ Official announcement of discovery of 3×217748034 − 1, PrimeGrid
  30. ↑ Official announcement of discovery of 8508301×217016603 – 1, PrimeGrid
  31. ↑ Official announcement of discovery of 3×216819291 – 1, PrimeGrid
  32. ↑ Official announcement of discovery of 3×216408818 + 1, PrimeGrid
  33. ↑ Official announcement of discovery of 2525332×732525332 + 1, PrimeGrid
  34. ↑ Official announcement of discovery of 99739×214019102 – 1, PrimeGrid
  35. ↑ "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
  36. ↑ Official announcement of discovery of 2805222×55610444 + 1, PrimeGrid
  37. 1 2 3 4 5 6 7 8 9 10 11 Chris Caldwell, The Largest Known Primes at The PrimePages.
  38. ↑ Official announcement of discovery of 13520762524288 + 1, PrimeGrid
  39. ↑ Official announcement of discovery of 13427472524288 + 1, PrimeGrid
  40. ↑ Official announcement of discovery of 12900356524288 + 1, PrimeGrid
  41. ↑ Official announcement of discovery of 12693488524288 + 1, PrimeGrid
  42. ↑ Official announcement of discovery of 11937916524288 + 1, PrimeGrid
  43. ↑ Official announcement of discovery of 10913140524288 + 1, PrimeGrid
  44. ↑ Official announcement of discovery of 9332124524288 + 1, PrimeGrid
  45. ↑ Official announcement of discovery of 8630170524288 + 1, PrimeGrid
  46. ↑ Official announcement of discovery of 3×211895718−1, PrimeGrid
  47. ↑ Official announcement of discovery of 6339004524288 + 1, PrimeGrid
  48. ↑ Official announcement of discovery of 3×211731850 − 1, PrimeGrid
  49. ↑ Official announcement of discovery of 4896418524288 + 1, PrimeGrid
  50. ↑ Official announcement of discovery of 3×211484018 − 1, PrimeGrid
  51. ↑ Official announcement of discovery of 193997×211452891 + 1, PrimeGrid
  52. ↑ Official announcement of discovery of 3638450524288 + 1, PrimeGrid
  53. ↑ Official announcement of discovery of 9221×211392194 -1, PrimeGrid
  54. ↑ Official announcement of discovery of 3214654524288 + 1, PrimeGrid
  55. ↑ Official announcement of discovery of 146561×211280802 -1, PrimeGrid
  56. ↑ Official announcement of discovery of 2985036524288 + 1, PrimeGrid
  57. ↑ Official announcement of discovery of 2877652524288 + 1, PrimeGrid
  58. ↑ Official announcement of discovery of 2788032524288 + 1, PrimeGrid
  59. ↑ Official announcement of discovery of 2733014524288 + 1, PrimeGrid
  60. ↑ Official announcement of discovery of 2312092524288 + 1, PrimeGrid
  61. ↑ Official announcement of discovery of 2061748524288 + 1, PrimeGrid
  62. ↑ Official announcement of discovery of 1880370524288 + 1, PrimeGrid
  63. ↑ Official announcement of discovery of 3×210829346 + 1, PrimeGrid
  64. ↑ Official announcement of discovery of 475856524288 + 1, PrimeGrid
  65. ↑ Official announcement of discovery of 356926524288 + 1, PrimeGrid
  66. ↑ Official announcement of discovery of 341112524288 + 1, PrimeGrid
  67. ↑ Official announcement of discovery of 121×29584444 + 1, PrimeGrid
  68. ↑ Official announcement of discovery of 1323365×1161323365 + 1, PrimeGrid
  69. ↑ Official announcement of discovery of 63838×53887851 – 1, PrimeGrid
  70. ↑ Official announcement of discovery of 273809×28932416 -1, PrimeGrid
  71. ↑ Official announcement of discovery of 25×28788628 + 1, PrimeGrid
  72. 1 2 3 "CRUS - Proven Conjectures". www.noprimeleftbehind.net.
  73. ↑ Official announcement of discovery of 17×28636199 + 1, PrimeGrid
  74. ↑ Official announcement of discovery of 75898524288 + 1, PrimeGrid
  75. ↑ Official announcement of discovery of 25×28456828 + 1, PrimeGrid
  76. ↑ Official announcement of discovery of 39×28413822 + 1, PrimeGrid
  77. ↑ Official announcement of discovery of 31×28348000 + 1, PrimeGrid
  78. ↑ Official announcement of discovery of 27×28342438 − 1, PrimeGrid
  79. ↑ Official announcement of discovery of 273662×53493296 + 1, PrimeGrid
  80. ↑ 102818×53440382 – 1, PrimeGrid
  81. ↑ Official announcement of discovery of 27×27963247 + 1, PrimeGrid
  82. ↑ Official announcement of discovery of 39×27946769 + 1, PrimeGrid
  83. ↑ Official announcement of discovery of 29×27899985 + 1, PrimeGrid
  84. ↑ Official announcement of discovery of 1341174×531341174 + 1, PrimeGrid
  85. ↑ Official announcement of discovery of 45×27661004 + 1, PrimeGrid
  86. ↑ Official announcement of discovery of 15×27619838 + 1, PrimeGrid
  87. ↑ Official announcement of discovery of 45×27513661 + 1, PrimeGrid
  88. ↑ Official announcement of discovery of 29×27374577 + 1, PrimeGrid
  89. ↑ 109838×53168862 – 1, PrimeGrid
  90. ↑ Official announcement of discovery of 29×27300254 + 1, PrimeGrid
  91. ↑ 118568×53112069 + 1, PrimeGrid
  92. ↑ Official announcement of discovery of 502573×27181987 − 1, PrimeGrid
  93. ↑ Official announcement of discovery of 402539×27173024 − 1, PrimeGrid
  94. ↑ Official announcement of discovery of 161041×27107964 + 1, PrimeGrid
  95. ↑ Official announcement of discovery of 27×27046834 + 1, PrimeGrid
  96. ↑ Official announcement of discovery of 3×27033641 + 1, PrimeGrid
  97. ↑ GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
  98. ↑ 238694×52979422 – 1, PrimeGrid
  99. ↑ 146264×52953282 – 1, PrimeGrid
  100. ↑ 35816×52945294 – 1, PrimeGrid
  101. ↑ Official announcement of discovery of 19×26833086 + 1, PrimeGrid
  102. ↑ Official announcement of discovery of 40597×26808509 – 1, PrimeGrid
  103. ↑ Official announcement of discovery of 39×26684941 + 1, PrimeGrid
  104. ↑ Official announcement of discovery of 6679881×26679881 + 1, PrimeGrid
  105. ↑ Official announcement of discovery of 39×26648997 + 1, PrimeGrid
  106. 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 Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net
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