List of largest known primes and probable primes

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.

Rank^[111]	Number	Discovery date	Decimal digits
1	${\tfrac {10^{8177207}-1}{9}}$ ^[111]	8 May 2021	8,177,207
2	${\tfrac {10^{5794777}-1}{9}}$ ^[111]	20 April 2021	5,794,777
3	${\tfrac {2^{15135397}+1}{3}}$ ^[111]	June 2021	4,556,209
4	${\tfrac {3^{8530117}-1}{2}}$ ^[111]	November 2023	4,069,900
5	2^13380298 − 27 ^[111]	March 2021	4,027,872
6	${\tfrac {2^{13372531}+1}{3}}$ ^[111]	September 2013	4,025,533
7	${\tfrac {2^{13347311}+1}{3}}$ ^[111]	September 2013	4,017,941
8	${\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}$ ^[111]	3 July 2022	3,829,294
9	${\tfrac {3^{7973131}-1}{2}}$ ^[111]	November 2023	3,804,150
10	${\tfrac {2^{12588091}-1}{32075464348897282169539424801}}$ ^[111]	10 April 2023	3,789,365
11	${\tfrac {2^{12503723}-2^{6251862}+1}{5}}$ ^[111]	July 2020	3,763,995
12	${\tfrac {5^{5154509}-1}{4}}$ ^[111]	February 2024	3,602,847
13	${\tfrac {5^{4939471}-1}{4}}$ ^[111]	January 2024	3,452,542
14	${\tfrac {3^{7034611}+1}{4}}$ ^[111]	December 2024	3,356,362
15	${\tfrac {2^{10443557}-1}{37289325994807}}$ ^[111]	9 July 2020	3,143,811
16	2^9092392 + 40291 ^[111]	February 2011	2,737,083
17	${\tfrac {14^{2307467}+1}{15}}$ ^[111]	June 2025	2,644,652
18	${\tfrac {6^{3360347}-1}{5}}$ ^[111]	October 2023	2,614,858
19	F(11964299) ^[111]	28 June 2025	2,500,391
20	${\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}$ ^[111]	3 June 2024	2,482,834
21	${\tfrac {17^{1990523}-1}{16}}$ ^[111]	August 2020	2,449,236
22	${\tfrac {35963^{524288}+1}{2}}$ ^[111]	August 2022	2,388,581
23	500186⁵⁴⁴⁶⁵ + 54465⁵⁰⁰¹⁸⁶ ^[111]	August 2024	2,368,940
24	${\tfrac {11^{2264611}+1}{12}}$ ^[111]	July 2021	2,358,349
25	${\tfrac {5^{3300593}-1}{4}}$ ^[111]	February 2022	2,307,015
26	${\tfrac {3^{4694803}+2^{4694803}}{5}}$ ^[111]	December 2023	2,239,990
27	${\tfrac {2^{7313983}-1}{305492080276193}}$ ^[111]	1 March 2018	2,201,714
28	${\tfrac {3^{4571447}+2^{4571447}}{5}}$ ^[111]	December 2023	2,181,134
29	${\tfrac {15^{1848811}+1}{16}}$ ^[111]	July 2024	2,174,370
30	F(10367321) ^[111]	10 August 2024	2,166,642
31	${\tfrac {15^{1841911}+1}{16}}$ ^[111]	July 2024	2,166,255
32	3^4532794 + 4532794³ ^[111]	October 2023	2,162,693
33	F(10317107) ^[111]	27 July 2024	2,156,148
34	${\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}$ ^[111]	27 October 2017	2,131,318
35	360834³⁵⁶³⁴⁵ + 356345³⁶⁰⁸³⁴ ^[111]	February 2024	2,003,304
36	360339³⁵⁶⁵⁷² + 356572³⁶⁰³³⁹ ^[111]	May 2024	2,000,656

List of largest known primes and probable primes

Largest known primes

Largest known probable primes (PRPs)

See also

References

External links

Wikiwand - on

Rank^[1]^[2]	Number	Discovery date	Decimal digits
1	2^136279841 − 1 ^[3]	12 October 2024	41,024,320
2	2^82589933 − 1 ^[4]	7 December 2018	24,862,048
3	2^77232917 − 1 ^[5]	26 December 2017	23,249,425
4	2^74207281 − 1 ^[6]	7 January 2016	22,338,618
5	2^57885161 − 1 ^[7]	25 January 2013	17,425,170
6	2^43112609 − 1 ^[8]	23 August 2008	12,978,189
7	2^42643801 − 1 ^[9]	4 June 2009	12,837,064
8	$\Phi _{3}(-516693^{1048576})$ ^[10]	2 October 2023	11,981,518
9	$\Phi _{3}(-465859^{1048576})$ ^[11]	31 May 2023	11,887,192
10	2^37156667 − 1 ^[8]	6 September 2008	11,185,272
11	2^32582657 − 1 ^[12]	4 September 2006	9,808,358
12	10223×2^31172165 + 1 ^[13]	31 October 2016	9,383,761
13	2^30402457 − 1 ^[14]	15 December 2005	9,152,052
14	4×5^11786358 + 1	1 October 2024	8,238,312
15	2^25964951 − 1 ^[15]	18 February 2005	7,816,230
16	4052186×69^4052186 + 1 ^[16]	16 April 2025	7,451,366
17	69×2^24612729 − 1	13 August 2024	7,409,172
18	2^24036583 − 1 ^[17]	15 May 2004	7,235,733
19	107347×2^23427517 − 1	4 August 2024	7,052,391
20	3×2^23157875 − 1 ^[18]	25 June 2025	6,971,216
21	3843236^1048576 + 1 ^[19]	17 December 2024	6,904,556
22	3×2^22103376 − 1 ^[20]	30 September 2024	6,653,780
23	1963736^1048576 + 1 ^[21]	24 September 2022	6,598,776
24	1951734^1048576 + 1 ^[22]	9 August 2022	6,595,985
25	202705×2^21320516 + 1 ^[23]	25 November 2021	6,418,121
26	2^20996011 − 1 ^[24]	17 November 2003	6,320,430
27	1059094^1048576 + 1 ^[25]	31 October 2018	6,317,602
28	3×2^20928756 − 1 ^[26]	5 July 2023	6,300,184
29	919444^1048576 + 1 ^[27]	29 August 2017	6,253,210
30	81×2^20498148 + 1	13 June 2023	6,170,560
31	7×2^20267500 + 1	21 July 2022	6,101,127
32	4×5^8431178 + 1	2 January 2024	5,893,142
33	168451×2^19375200 + 1 ^[28]	17 September 2017	5,832,522
34	69×2^19374980 − 1	3 July 2022	5,832,452
35	3×2^18924888 − 1 ^[29]	24 March 2022	5,696,990
36	69×2^18831865 − 1	16 December 2021	5,668,959
37	2×3^11879700 + 1	22 June 2024	5,668,058
38	97139×2^18397548 − 1	23 April 2023	5,538,219
39	7×2^18233956 + 1	1 October 2020	5,488,969
40	3×2^18196595 − 1 ^[30]	8 January 2022	5,477,722