List of known Mersenne primes

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Explanations

  • #: number count of the Mersenne primes linked to that prime page
  • n-value: value of exponent and if available link to The Prime Pages entry
  • Digits in Mn: denotes the Mersenne prime 2n-1 and a downloadable decimal representation
  • Digits in Pn: denotes the Perfect number 2n-1 • (2n-1) and a downloadable decimal representation
  • Value of Mn: the first/last digits of the Mersenne number (or whole for smaller ones)
  • Date: year/date of discovery, if available a link to the press release by GIMPS
  • Discoverer & Credits: listed the discoverer(s) and credited persons/project

Data table

# n-value Digits in Mn Digits in Pn Value of Mn Date Discoverer & Credits
M1 2 1 1 3 c. 430 BCE Ancient Greek mathematicians
M2 3 1 2 7 c. 430 BCE Ancient Greek mathematicians
M3 5 2 3 31 c. 300 BCE Ancient Greek mathematicians
M4 7 3 4 127 c. 300 BCE Ancient Greek mathematicians
M5 13 4 8 8191 1456 anonymous
M6 17 6 10 131071 1588 Pietro Cataldi
M7 19 6 12 524287 1588 Pietro Cataldi
M8 31 10 19 2147483647 1772 Leonhard Euler
M9 61 19 37 2305843009213693951 1883 Ivan Mikheevich Pervushin
M10 89 27 54 618970019642...137449562111 1911 Ralph Ernest Powers‏‎
M11 107 33 65 162259276829...578010288127 1914-06-11 Ralph Ernest Powers‏‎
M12 127 39 77 170141183460...715884105727 1876-01-10 Édouard Lucas
M13 521 157 314 686479766013...291115057151 1952-01-30 Raphael Robinson
M14 607 183 366 531137992816...219031728127 1952-01-30 Raphael Robinson
M15 1,279 386 770 104079321946...703168729087 1952-06-25 Raphael Robinson
M16 2,203 664 1,327 147597991521...686697771007 1952-10-07 Raphael Robinson
M17 2,281 687 1,373 446087557183...418132836351 1952-10-09 Raphael Robinson
M18 3,217 969 1,937 259117086013...362909315071 1957-09-08 Hans Riesel
M19 4,253 1,281 2,561 190797007524...815350484991 1961-11-03 Alexander Hurwitz
M20 4,423 1,332 2,663 285542542228...902608580607 1961-11-03 Alexander Hurwitz
M21 9,689 2,917 5,834 478220278805...826225754111 1963-05-11 Donald B. Gillies
M22 9,941 2,993 5,985 346088282490...883789463551 1963-05-16 Donald B. Gillies
M23 11,213 3,376 6,751 281411201369...087696392191 1963-06-02 Donald B. Gillies
M24 19,937 6,002 12,003 431542479738...030968041471 1971-03-04 Bryant Tuckerman
M25 21,701 6,533 13,066 448679166119...353511882751 1978-10-30 Landon Curt NollLaura A. Nickel
M26 23,209 6,987 13,973 402874115778...523779264511 1979-02-09 Landon Curt Noll
M27 44,497 13,395 26,790 854509824303...961011228671 1979-04-08 Harry Lewis NelsonDavid Slowinski
M28 86,243 25,962 51,924 536927995502...709433438207 1982-09-25 David Slowinski
M29 110,503 33,265 66,530 521928313341...083465515007 1988-01-28 Walter ColquittLuke Welsh
M30 132,049 39,751 79,502 512740276269...455730061311 1983-09-19 David Slowinski
M31 216,091 65,050 130,100 746093103064...103815528447 1985-09-01 David Slowinski
M32 756,839 227,832 455,663 174135906820...328544677887 1992-02-19 David SlowinskiPaul Gage
M33 859,433 258,716 517,430 129498125604...243500142591 1994-01-04 David SlowinskiPaul Gage
M34 1,257,787 378,632 757,263 412245773621...976089366527 1996-09-03 David SlowinskiPaul Gage
M35 1,398,269 420,921 841,842 814717564412...868451315711 1996-11-13 Joel Armengaud, George Woltman et. al., GIMPS
M36 2,976,221 895,932 1,791,864 623340076248...743729201151 1997-08-24 Gordon Spence, George Woltman et. al., GIMPS
M37 3,021,377 909,526 1,819,050 127411683030...973024694271 1998-01-27 Roland Clarkson, George Woltman et. al., GIMPS
M38 6,972,593 2,098,960 4,197,919 437075744127...142924193791 1999-06-01 Nayan Hajratwala, George Woltman et. al., GIMPS
M39 13,466,917 4,053,946 8,107,892 924947738006...470256259071 2001-11-14 Michael Cameron, George Woltman et. al., GIMPS
M40 20,996,011 6,320,430 12,640,858 125976895450...762855682047 2003-11-17 Michael Shafer, George Woltman et. al., GIMPS
M41 24,036,583 7,235,733 14,471,465 299410429404...882733969407 2004-05-15 Josh Findley, George Woltman et. al., GIMPS
M42 25,964,951 7,816,230 15,632,458 122164630061...280577077247 2005-02-18 Martin Nowak, George Woltman et. al., GIMPS
M43 30,402,457 9,152,052 18,304,103 315416475618...411652943871 2005-12-15 Curtis CooperSteven Boone, George Woltman et. al., GIMPS
M44 32,582,657 9,808,358 19,616,714 124575026015...154053967871 2006-09-04 Curtis CooperSteven Boone, George Woltman et. al., GIMPS
M45 37,156,667 11,185,272 22,370,543 202254406890...022308220927 2008-09-06 Hans-Michael Elvenich, George Woltman et. al., GIMPS
M46 42,643,801 12,837,064 25,674,127 169873516452...765562314751 2009-04-12 Odd Magnar Strindmo, George Woltman et. al., GIMPS
M47 43,112,609 12,978,189 25,957,378 316470269330...166697152511 2008-08-23 Edson Smith, George WoltmanScott Kurowski et al., (GIMPS & PrimeNet)
M48* 57,885,161 17,425,170 34,850,340 581887266232...071724285951 2013-01-25 Curtis Cooper, George WoltmanScott KurowskiAaron Blosser et. al., (GIMPS & PrimeNet)
M49* 74,207,281 22,338,618 44,677,236 300376418084...391086436351 2016-01-07 Curtis Cooper, George WoltmanScott KurowskiAaron Blosser et. al., (GIMPS & PrimeNet)
M50* 77,232,917 23,249,425 46,498,850 467333183359...069762179071 2017-12-26 Jonathan Pace, George WoltmanScott KurowskiAaron Blosser, (GIMPS & PrimeNet)
M51* 82,589,933 24,862,048 49,724,095 148894445742...325217902591 2018-12-07 Patrick Laroche, George WoltmanAaron Blosser et. al., (GIMPS & PrimeNet)
* = Provisional ranking

See also

Mersenne prime

External links