List of known Mersenne primes

From Mersennewiki

# n Digits in Mn Digits in Pn Date of discovery Discoverer
1 2 1 1 c. 430 BCE Ancient Greek mathematicians
2 3 1 2 c. 430 BCE Ancient Greek mathematicians
3 5 2 3 c. 300 BCE Ancient Greek mathematicians
4 7 3 4 c. 300 BCE Ancient Greek mathematicians
5 13 4 8 1456 anonymous
6 17 6 10 1588 Cataldi
7 19 6 12 1588 Cataldi
8 31 10 19 1772 Euler
9 61 19 37 1883 Pervushin
10 89 27 54 1911 Powers
11 107 33 65 1914 Powers
12 127 39 77 1876 Lucas
13 521 157 314 January 30 1952 Robinson
14 607 183 366 January 30 1952 Robinson
15 1,279 386 770 June 25 1952 Robinson
16 2,203 664 1,327 October 7 1952 Robinson
17 2,281 687 1,373 October 9 1952 Robinson
18 3,217 969 1,937 September 8 1957 Riesel
19 4,253 1,281 2,561 November 3 1961 Hurwitz
20 4,423 1,332 2,663 November 3 1961 Hurwitz
21 9,689 2,917 5,834 May 11 1963 Gillies
22 9,941 2,993 5,985 May 16 1963 Gillies
23 11,213 3,376 6,751 June 2 1963 Gillies
24 19,937 6,002 12,003 March 4 1971 Tuckerman
25 21,701 6,533 13,066 October 30 1978 Noll & Nickel
26 23,209 6,987 13,973 February 9 1979 Noll
27 44,497 13,395 26,790 April 8 1979 Nelson & Slowinski
28 86,243 25,962 51,924 September 25 1982 Slowinski
29 110,503 33,265 66,530 January 28 1988 Colquitt & Welsh
30 132,049 39,751 79,502 September 20 1983 Slowinski
31 216,091 65,050 130,100 September 6 1985 Slowinski
32 756,839 227,832 455,663 February 19 1992 Slowinski, Gage & Harwell
33 859,433 258,716 517,430 January 10 1994 Slowinski & Gage
34 1,257,787 378,632 757,263 September 3 1996 Slowinski & Gage
35 1,398,269 420,921 841,842 November 13 1996 Armengaud, Woltman et. al. GIMPS
36 2,976,221 895,932 1,791,864 August 24 1997 Spence, Woltman et. al. GIMPS
37 3,021,377 909,526 1,819,050 January 27 1998 Clarkson, Woltman, Kurowski et. al. GIMPS & PrimeNet
38 6,972,593 2,098,960 4,197,919 June 1 1999 Hajratwala, Woltman, Kurowski et. al. GIMPS & PrimeNet
39 13,466,917 4,053,946 8,107,892 November 14 2001 Cameron, Woltman, Kurowski et. al. GIMPS & PrimeNet
40 20,996,011 6,320,430 12,640,858 November 17 2003 Shafer, Woltman, Kurowski et. al. GIMPS & PrimeNet
41 24,036,583 7,235,733 14,471,465 May 15 2004 Findley, Woltman, Kurowski et. al. GIMPS & PrimeNet
42 25,964,951 7,816,230 15,632,458 February 18 2005 Nowak, Woltman, Kurowski et. al. GIMPS & PrimeNet
43 30,402,457 9,152,052 18,304,103 December 15 2005 Cooper, Boone, Woltman, Kurowski et. al. GIMPS & PrimeNet
44 32,582,657 9,808,358 19,616,714 September 4 2006 Cooper, Boone, Woltman, Kurowski et. al. GIMPS & PrimeNet
45* 37,156,667 11,185,272 22,370,543 September 6 2008 Elvenich, Woltman, Kurowski, et al. GIMPS & PrimeNet
46* 42,643,801 12,837,064 25,674,127 April 12 2009 Strindmo, Woltman, Kurowski, et al. GIMPS & PrimeNet
47* 43,112,609 12,978,189 25,957,378 August 23 2008 Smith, Woltman, Kurowski, et al. GIMPS & PrimeNet
48* 57,885,161 17,425,170 34,850,340 January 25 2013 Cooper, Woltman, Kurowski et. al. GIMPS & PrimeNet
49* 74,207,281 22,338,618 44,677,236 January 7 2016 Cooper, Woltman, Kurowski, Blosser et. al. GIMPS & PrimeNet

*It is not known whether any undiscovered Mersenne primes exist between the 45th (M_{37,156,667}) and the 49th (M_{74,207,281}) on this chart; the ranking is therefore provisional.

See also

Mersenne prime

External links

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