List of known Mersenne prime numbers

List of Known Mersenne Prime Numbers

#	2^p-1	Digits	Date Discovered	Discovered By	Method / Hardware	Perfect Number
1	2²-1	1	c. 500 BCE	Ancient Greek mathematicians		2¹ · (2²-1)
2	2³-1	1	c. 500 BCE	Ancient Greek mathematicians		2² · (2³-1)
3	2⁵-1	2	c. 275 BCE	Ancient Greek mathematicians		2⁴ · (2⁵-1)
4	2⁷-1	3	c. 275 BCE	Ancient Greek mathematicians		2⁶ · (2⁷-1)
5	2¹³-1	4	1456	Anonymous	trial division	2¹² · (2¹³-1)
6	2¹⁷-1	6	1588	Pietro Cataldi	trial division	2¹⁶ · (2¹⁷-1)
7	2¹⁹-1	6	1588	Pietro Cataldi	trial division	2¹⁸ · (2¹⁹-1)
8	2³¹-1	10	1772	Leonhard Euler	Enhanced trial division	2³⁰ · (2³¹-1)
9	2⁶¹-1	19	1883	Ivan Mikheevich Pervushin	Lucas sequences	2⁶⁰ · (2⁶¹-1)
10	2⁸⁹-1	27	1911 Jun	R. E. Powers	Lucas sequences	2⁸⁸ · (2⁸⁹-1)
11	2¹⁰⁷-1	33	1914 Jun 11	R. E. Powers	Lucas sequences	2¹⁰⁶ · (2¹⁰⁷-1)
12	2¹²⁷-1	39	1876 Jan 10	Édouard Lucas	Lucas sequences	2¹²⁶ · (2¹²⁷-1)
13	2⁵²¹-1	157	1952 Jan 30	Raphael M. Robinson	L-L / SWAC	2⁵²⁰ · (2⁵²¹-1)
14	2⁶⁰⁷-1	183	1952 Jan 30	Raphael M. Robinson	L-L / SWAC	2⁶⁰⁶ · (2⁶⁰⁷-1)
15	2¹²⁷⁹-1	386	1952 Jun 25	Raphael M. Robinson	L-L / SWAC	2¹²⁷⁸ · (2¹²⁷⁹-1)
16	2²²⁰³-1	664	1952 Oct 07	Raphael M. Robinson	L-L / SWAC	2²²⁰² · (2²²⁰³-1)
17	2²²⁸¹-1	687	1952 Oct 09	Raphael M. Robinson	L-L / SWAC	2²²⁸⁰ · (2²²⁸¹-1)
18	2³²¹⁷-1	969	1957 Sep 08	Hans Riesel	L-L / BESK	2³²¹⁶ · (2³²¹⁷-1)
19	2⁴²⁵³-1	1281	1961 Nov 03	Alexander Hurwitz	L-L / IBM 7090	2⁴²⁵² · (2⁴²⁵³-1)
20	2⁴⁴²³-1	1332	1961 Nov 03	Alexander Hurwitz	L-L / IBM 7090	2⁴⁴²² · (2⁴⁴²³-1)
21	2⁹⁶⁸⁹-1	2917	1963 May 11	Donald B. Gillies	L-L / ILLIAC II	2⁹⁶⁸⁸ · (2⁹⁶⁸⁹-1)
22	2⁹⁹⁴¹-1	2993	1963 May 16	Donald B. Gillies	L-L / ILLIAC II	2⁹⁹⁴⁰ · (2⁹⁹⁴¹-1)
23	2¹¹²¹³-1	3376	1963 Jun 02	Donald B. Gillies	L-L / ILLIAC II	2¹¹²¹² · (2¹¹²¹³-1)
24	2¹⁹⁹³⁷-1	6002	1971 Mar 04	Bryant Tuckerman	L-L / IBM 360/91	2¹⁹⁹³⁶ · (2¹⁹⁹³⁷-1)
25	2²¹⁷⁰¹-1	6533	1978 Oct 30	Landon Curt Noll & Laura Nickel	L-L / CDC Cyber 174	2²¹⁷⁰⁰ · (2²¹⁷⁰¹-1)
26	2²³²⁰⁹-1	6987	1979 Feb 09	Landon Curt Noll	L-L / CDC Cyber 174	2²³²⁰⁸ · (2²³²⁰⁹-1)
27	2⁴⁴⁴⁹⁷-1	13395	1979 Apr 08	Harry Lewis Nelson & David Slowinski	L-L / Cray 1	2⁴⁴⁴⁹⁶ · (2⁴⁴⁴⁹⁷-1)
28	2⁸⁶²⁴³-1	25962	1982 Sep 25	David Slowinski	L-L / Cray 1	2⁸⁶²⁴² · (2⁸⁶²⁴³-1)
29	2¹¹⁰⁵⁰³-1	33265	1988 Jan 28	Walter Colquitt & Luke Welsh	L-L / NEC SX-2	2¹¹⁰⁵⁰² · (2¹¹⁰⁵⁰³-1)
30	2¹³²⁰⁴⁹-1	39751	1983 Sep 19	David Slowinski	L-L / Cray X-MP	2¹³²⁰⁴⁸ · (2¹³²⁰⁴⁹-1)
31	2²¹⁶⁰⁹¹-1	65050	1985 Sep 01	David Slowinski	L-L / Cray X-MP/24	2²¹⁶⁰⁹⁰ · (2²¹⁶⁰⁹¹-1)
32	2⁷⁵⁶⁸³⁹-1	227832	1992 Feb 19	David Slowinski & Paul Gage	L-L / Maple on Harwell Lab Cray-2	2⁷⁵⁶⁸³⁸ · (2⁷⁵⁶⁸³⁹-1)
33	2⁸⁵⁹⁴³³-1	258716	1994 Jan 04	David Slowinski & Paul Gage	L-L / Cray C90	2⁸⁵⁹⁴³² · (2⁸⁵⁹⁴³³-1)
34	2^1257787-1	378632	1996 Sep 03	David Slowinski & Paul Gage	L-L / Cray T94	2^1257786 · (2^1257787-1)
35	2^1398269-1	420921	1996 Nov 13	GIMPS / Joel Armengaud	L-L / Prime95 on 90 MHz Pentium PC	2^1398268 · (2^1398269-1)
36	2^2976221-1	895932	1997 Aug 24	GIMPS / Gordon Spence	L-L / Prime95 on 100 MHz Pentium PC	2^2976220 · (2^2976221-1)
37	2^3021377-1	909526	1998 Jan 27	GIMPS / Roland Clarkson	L-L / Prime95 on 200 MHz Pentium PC	2^3021376 · (2^3021377-1)
38	2^6972593-1	2098960	1999 Jun 01	GIMPS / Nayan Hajratwala	L-L / Prime95 on 350 MHz Pentium II IBM Aptiva	2^6972592 · (2^6972593-1)
39	2^13466917-1	4053946	2001 Nov 14	GIMPS / Michael Cameron	L-L / Prime95 on 800 MHz Athlon Thunderbird	2^13466916 · (2^13466917-1)
40	2^20996011-1	6320430	2003 Nov 17	GIMPS / Michael Shafer	L-L / Prime95 on 2 GHz Dell Dimension	2^20996010 · (2^20996011-1)
41	2^24036583-1	7235733	2004 May 15	GIMPS / Josh Findley	L-L / Prime95 on 2.4 GHz Pentium 4 PC	2^24036582 · (2^24036583-1)
42	2^25964951-1	7816230	2005 Feb 18	GIMPS / Martin Nowak	L-L / Prime95 on 2.4 GHz Pentium 4 PC	2^25964950 · (2^25964951-1)
43	2^30402457-1	9152052	2005 Dec 15	GIMPS / Curtis Cooper & Steven Boone	L-L / Prime95 on 2 GHz Pentium 4 PC	2^30402456 · (2^30402457-1)
44	2^32582657-1	9808358	2006 Sep 04	GIMPS / Curtis Cooper & Steven Boone	L-L / Prime95 on 3 GHz Pentium 4 PC	2^32582656 · (2^32582657-1)
45	2^37156667-1	11185272	2008 Sep 06	GIMPS / Hans-Michael Elvenich	L-L / Prime95 on 2.83 GHz Core 2 Duo PC	2^37156666 · (2^37156667-1)
46	2^42643801-1	12837064	2009 Jun 04	GIMPS / Odd M. Strindmo	L-L / Prime95 on 3 GHz Core 2 PC	2^42643800 · (2^42643801-1)
47	2^43112609-1	12978189	2008 Aug 23	GIMPS / Edson Smith	L-L / Prime95 on Dell Optiplex 745	2^43112608 · (2^43112609-1)
48	2^57885161-1	17425170	2013 Jan 25	GIMPS / Curtis Cooper	L-L / Prime95 on Intel Core2 Duo E8400 @ 3.00GHz	2^57885160 · (2^57885161-1)
49	2^74207281-1	22338618	2016 Jan 07	GIMPS / Curtis Cooper	L-L / Prime95 on Intel i7-4790 @ 3.60GHz	2^74207280 · (2^74207281-1)
50	2^77232917-1	23249425	2017 Dec 26	GIMPS / Jon Pace	L-L / Prime95 on Intel i5-6600 @ 3.30GHz	2^77232916 · (2^77232917-1)
51*	2^82589933-1	24862048	2018 Dec 07	GIMPS / Patrick Laroche	L-L / Prime95 on Intel i5-4590T @ 2.0GHz	2^82589932 · (2^82589933-1)
52*	2^136279841-1	41024320	2024 Oct 12	GIMPS / Luke Durant	PRP / Gpuowl on NVIDIA A100	2^136279840 · (2^136279841-1)

* Provisional ranking, not all candidates between M77232917 and M136279841 have been eliminated

Username
Password

List of Known Mersenne Prime Numbers

Distribution graph of Mersenne Primes found by GIMPS