List of known Mersenne primes

Last update: 2019-02-19

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 M_n: denotes the Mersenne prime 2ⁿ-1 and a downloadable decimal representation
• Digits in P_n: denotes the Perfect number 2^n-1 • (2ⁿ-1) and a downloadable decimal representation
• Value of M_n: 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 person/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 M. Robinson
M14	607	183	366	531137992816...219031728127	1952-01-30	Raphael M. Robinson
M15	1,279	386	770	104079321946...703168729087	1952-06-25	Raphael M. Robinson
M16	2,203	664	1,327	147597991521...686697771007	1952-10-07	Raphael M. Robinson
M17	2,281	687	1,373	446087557183...418132836351	1952-10-09	Raphael M. 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 Noll, Laura 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 Nelson, David 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 Colquitt, Luke 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 Slowinski, Paul Gage
M33	859,433	258,716	517,430	129498125604...243500142591	1994-01-04	David Slowinski, Paul Gage
M34	1,257,787	378,632	757,263	412245773621...976089366527	1996-09-03	David Slowinski, Paul 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 Cooper, Steven Boone, George Woltman et. al., GIMPS
M44	32,582,657	9,808,358	19,616,714	124575026015...154053967871	2006-09-04	Curtis Cooper, Steven 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 Woltman, Scott Kurowski et al., (GIMPS & PrimeNet)
M48	57,885,161	17,425,170	34,850,340	581887266232...071724285951	2013-01-25	Curtis Cooper, George Woltman, Scott Kurowski, Aaron Blosser et. al., (GIMPS & PrimeNet)
M49*	74,207,281	22,338,618	44,677,236	300376418084...391086436351	2016-01-07	Curtis Cooper, George Woltman, Scott Kurowski, Aaron Blosser et. al., (GIMPS & PrimeNet)
M50*	77,232,917	23,249,425	46,498,850	467333183359...069762179071	2017-12-26	Jonathan Pace, George Woltman, Scott Kurowski, Aaron Blosser, (GIMPS & PrimeNet)
M51*	82,589,933	24,862,048	49,724,095	148894445742...325217902591	2018-12-07	Patrick Laroche, George Woltman, Aaron Blosser et. al., (GIMPS & PrimeNet)
M52*	136,279,841	41,024,320	82,048,640	881694327503...219486871551	2024-10-12	Luke Durant, Mihai Preda, George Woltman, Aaron Blosser et. al., (PRPLL/GpuOwL, GIMPS & PrimeNet)

* = Provisional ranking

See also

Mersenne prime

External links

• List of known Mersenne prime numbers at Mersenne.org
• prime Mersenne Numbers - History, Theorems and Lists Explanation
• GIMPS Mersenne Prime - status page gives various statistics on search progress, some parts are updated automatically, others typically updated every week, including progress towards proving the ordering of primes 41-47ff
• Mersenne numbers - Wolfram Research/Mathematica
• prime Mersenne numbers - Wolfram Research/Mathematica
• M_q = (8x)^2 - (3qy)^2 Mersenne Proof (pdf)
• M_q = x^2 + d.y^2 Math Thesis (pdf)
• Mersenne Prime Bibliography with Hyperlinks to original publications
• dpa - reportage about prime mersenne number - detection in detail (German)
• Mersenne prime