GIMPS (Prime95) PrimeNet Mersenne Prime list

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	Ralph Ernest Powers	Lucas sequences	2⁸⁸ · (2⁸⁹-1)
11	2¹⁰⁷-1	33	1914-Jun-11	Ralph Ernest 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 Mitchel Robinson	L-L / SWAC	2⁵²⁰ · (2⁵²¹-1)
14	2⁶⁰⁷-1	183	1952-Jan-30	Raphael Mitchel Robinson	L-L / SWAC	2⁶⁰⁶ · (2⁶⁰⁷-1)
15	2¹²⁷⁹-1	386	1952-Jun-25	Raphael Mitchel Robinson	L-L / SWAC	2¹²⁷⁸ · (2¹²⁷⁹-1)
16	2²²⁰³-1	664	1952-Oct-07	Raphael Mitchel Robinson	L-L / SWAC	2²²⁰² · (2²²⁰³-1)
17	2²²⁸¹-1	687	1952-Oct-09	Raphael Mitchel 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 Bruce Gillies	L-L / ILLIAC II	2⁹⁶⁸⁸ · (2⁹⁶⁸⁹-1)
22	2⁹⁹⁴¹-1	2993	1963-May-16	Donald Bruce Gillies	L-L / ILLIAC II	2⁹⁹⁴⁰ · (2⁹⁹⁴¹-1)
23	2¹¹²¹³-1	3376	1963-Jun-02	Donald Bruce 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-20	David Slowinski	L-L / Cray X-MP	2¹³²⁰⁴⁸ · (2¹³²⁰⁴⁹-1)
31	2²¹⁶⁰⁹¹-1	65050	1985-Sep-06	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-10	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	Joel Armengaud, George Woltman / GIMPS	L-L / Prime95 on 90 MHz Pentium PC	2^1398268 · (2^1398269-1)
36	2^2976221-1	895932	1997-Aug-24	Gordon Spence, George Woltman / GIMPS	L-L / Prime95 on 100 MHz Pentium PC	2^2976220 · (2^2976221-1)
37	2^3021377-1	909526	1998-Jan-27	Roland Clarkson, George Woltman / GIMPS	L-L / Prime95 on 200 MHz Pentium PC	2^3021376 · (2^3021377-1)
38	2^6972593-1	2098960	1999-Jun-01	Nayan Hajratwala, George Woltman / GIMPS	L-L / Prime95 on 350 MHz Pentium II IBM Aptiva	2^6972592 · (2^6972593-1)
39	2^13466917-1	4053946	2001-Nov-14	Michael Cameron, George Woltman / GIMPS	L-L / Prime95 on 800 MHz Athlon Thunderbird	2^13466916 · (2^13466917-1)
40	2^20996011-1	6320430	2003-Nov-17	Michael Shafer, George Woltman / GIMPS	L-L / Prime95 on 2 GHz Dell Dimension	2^20996010 · (2^20996011-1)
41	2^24036583-1	7235733	2004-May-15	Josh Findley, George Woltman / GIMPS	L-L / Prime95 on 2.4 GHz Pentium 4 PC	2^24036582 · (2^24036583-1)
42	2^25964951-1	7816230	2005-Feb-18	Martin Nowak, George Woltman / GIMPS	L-L / Prime95 on 2.4 GHz Pentium 4 PC	2^25964950 · (2^25964951-1)
43	2^30402457-1	9152052	2005-Dec-15	Curtis Cooper & Steven Boone, George Woltman / GIMPS	L-L / Prime95 on 2 GHz Pentium 4 PC	2^30402456 · (2^30402457-1)
44	2^32582657-1	9808358	2006-Sep-04	Curtis Cooper & Steven Boone, George Woltman / GIMPS	L-L / Prime95 on 3 GHz Pentium 4 PC	2^32582656 · (2^32582657-1)
45	2^37156667-1	11185272	2008-Sep-06	Hans-Michael Elvenich, George Woltman / GIMPS	L-L / Prime95 on 2.83 GHz Core 2 Duo PC	2^37156666 · (2^37156667-1)
46	2^42643801-1	12837064	2009-Apr-12	Odd Magnar Strindmo, George Woltman / GIMPS	L-L / Prime95 on 3 GHz Core 2 PC	2^42643800 · (2^42643801-1)
47	2^43112609-1	12978189	2008-Aug-23	Edson Smith, George Woltman / GIMPS	L-L / Prime95 on Dell Optiplex 745	2^43112608 · (2^43112609-1)
48	2^57885161-1	17425170	2013-Jan-25	Curtis Cooper, George Woltman / GIMPS	L-L / Prime95 on Intel Core2 Duo E8400	2^57885160 · (2^57885161-1)
49	2^74207281-1	22338618	2016-Jan-07	Curtis Cooper, George Woltman / GIMPS	L-L / Prime95 on Intel i7-4790	2^74207280 · (2^74207281-1)
50	2^77232917-1	23249425	2017-Dec-26	Jonathan Pace, George Woltman / GIMPS	L-L / Prime95 on Intel Core i5-6600	2^77232916 · (2^77232917-1)
51*	2^82589933-1	24862048	2018-Dec-07	Patrick Laroche, George Woltman / GIMPS	L-L / Prime95 on Intel Core i5-4590T	2^82589932 · (2^82589933-1)
52*	2^136279841-1	41024320	2024-Oct-12	Luke Durant, Mihai Preda, George Woltman / GIMPS	PRP / PRPLL on NVIDIA A100	2^136279840 · (2^136279841-1)

2^p-1

Digits

Date Discovered

Discovered By

Method / Hardware

Perfect Number

2²-1

c. 500 BCE

Ancient Greek mathematicians

2¹ · (2²-1)

2³-1

c. 500 BCE

Ancient Greek mathematicians

2² · (2³-1)

2⁵-1

c. 275 BCE

Ancient Greek mathematicians

2⁴ · (2⁵-1)

2⁷-1

c. 275 BCE

Ancient Greek mathematicians

2⁶ · (2⁷-1)

2¹³-1

1456

anonymous

trial division

2¹² · (2¹³-1)

2¹⁷-1

1588

Pietro Cataldi

trial division

2¹⁶ · (2¹⁷-1)

2¹⁹-1

1588

Pietro Cataldi

trial division

2¹⁸ · (2¹⁹-1)

2³¹-1

1772

Leonhard Euler

Enhanced trial division

2³⁰ · (2³¹-1)

2⁶¹-1

1883

Ivan Mikheevich Pervushin

Lucas sequences

2⁶⁰ · (2⁶¹-1)

2⁸⁹-1

1911

Ralph Ernest Powers

Lucas sequences

2⁸⁸ · (2⁸⁹-1)

2¹⁰⁷-1

1914-Jun-11

Ralph Ernest Powers

Lucas sequences

2¹⁰⁶ · (2¹⁰⁷-1)

2¹²⁷-1

1876-Jan-10

Édouard Lucas

Lucas sequences

2¹²⁶ · (2¹²⁷-1)

2⁵²¹-1

157

1952-Jan-30

Raphael Mitchel Robinson

L-L / SWAC

2⁵²⁰ · (2⁵²¹-1)

2⁶⁰⁷-1

183

1952-Jan-30

Raphael Mitchel Robinson

L-L / SWAC

2⁶⁰⁶ · (2⁶⁰⁷-1)

2¹²⁷⁹-1

386

1952-Jun-25

Raphael Mitchel Robinson

L-L / SWAC

2¹²⁷⁸ · (2¹²⁷⁹-1)

2²²⁰³-1

664

1952-Oct-07

Raphael Mitchel Robinson

L-L / SWAC

2²²⁰² · (2²²⁰³-1)

2²²⁸¹-1

687

1952-Oct-09

Raphael Mitchel Robinson

L-L / SWAC

2²²⁸⁰ · (2²²⁸¹-1)

2³²¹⁷-1

969

1957-Sep-08

Hans Riesel

L-L / BESK

2³²¹⁶ · (2³²¹⁷-1)

2⁴²⁵³-1

1281

1961-Nov-03

Alexander Hurwitz

L-L / IBM 7090

2⁴²⁵² · (2⁴²⁵³-1)

2⁴⁴²³-1

1332

1961-Nov-03

Alexander Hurwitz

L-L / IBM 7090

2⁴⁴²² · (2⁴⁴²³-1)

2⁹⁶⁸⁹-1

2917

1963-May-11

Donald Bruce Gillies

L-L / ILLIAC II

2⁹⁶⁸⁸ · (2⁹⁶⁸⁹-1)

2⁹⁹⁴¹-1

2993

1963-May-16

Donald Bruce Gillies

L-L / ILLIAC II

2⁹⁹⁴⁰ · (2⁹⁹⁴¹-1)

2¹¹²¹³-1

3376

1963-Jun-02

Donald Bruce Gillies

L-L / ILLIAC II

2¹¹²¹² · (2¹¹²¹³-1)

2¹⁹⁹³⁷-1

6002

1971-Mar-04

Bryant Tuckerman

L-L / IBM 360/91

2¹⁹⁹³⁶ · (2¹⁹⁹³⁷-1)

2²¹⁷⁰¹-1

6533

1978-Oct-30

Landon Curt Noll & Laura Nickel

L-L / CDC Cyber 174

2²¹⁷⁰⁰ · (2²¹⁷⁰¹-1)

2²³²⁰⁹-1

6987

1979-Feb-09

Landon Curt Noll

L-L / CDC Cyber 174

2²³²⁰⁸ · (2²³²⁰⁹-1)

2⁴⁴⁴⁹⁷-1

13395

1979-Apr-08

Harry Lewis Nelson & David Slowinski

L-L / Cray 1

2⁴⁴⁴⁹⁶ · (2⁴⁴⁴⁹⁷-1)

2⁸⁶²⁴³-1

25962

1982-Sep-25

David Slowinski

L-L / Cray 1

2⁸⁶²⁴² · (2⁸⁶²⁴³-1)

2¹¹⁰⁵⁰³-1

33265

1988-Jan-28

Walter Colquitt & Luke Welsh

L-L / NEC SX-2

2¹¹⁰⁵⁰² · (2¹¹⁰⁵⁰³-1)

2¹³²⁰⁴⁹-1

39751

1983-Sep-20

David Slowinski

L-L / Cray X-MP

2¹³²⁰⁴⁸ · (2¹³²⁰⁴⁹-1)

2²¹⁶⁰⁹¹-1

65050

1985-Sep-06

David Slowinski

L-L / Cray X-MP/24

2²¹⁶⁰⁹⁰ · (2²¹⁶⁰⁹¹-1)

2⁷⁵⁶⁸³⁹-1

227832

1992-Feb-19

David Slowinski & Paul Gage

L-L / Maple on Harwell Lab Cray-2

2⁷⁵⁶⁸³⁸ · (2⁷⁵⁶⁸³⁹-1)

2⁸⁵⁹⁴³³-1

258716

1994-Jan-10

David Slowinski & Paul Gage

L-L / Cray C90

2⁸⁵⁹⁴³² · (2⁸⁵⁹⁴³³-1)

2^1257787-1

378632

1996-Sep-03

David Slowinski & Paul Gage

L-L / Cray T94

2^1257786 · (2^1257787-1)

2^1398269-1

420921

1996-Nov-13

Joel Armengaud, George Woltman / GIMPS

L-L / Prime95 on 90 MHz Pentium PC

2^1398268 · (2^1398269-1)

2^2976221-1

895932

1997-Aug-24

Gordon Spence, George Woltman / GIMPS

L-L / Prime95 on 100 MHz Pentium PC

2^2976220 · (2^2976221-1)

2^3021377-1

909526

1998-Jan-27

Roland Clarkson, George Woltman / GIMPS

L-L / Prime95 on 200 MHz Pentium PC

2^3021376 · (2^3021377-1)

2^6972593-1

2098960

1999-Jun-01

Nayan Hajratwala, George Woltman / GIMPS

L-L / Prime95 on 350 MHz Pentium II IBM Aptiva

2^6972592 · (2^6972593-1)

2^13466917-1

4053946

2001-Nov-14

Michael Cameron, George Woltman / GIMPS

L-L / Prime95 on 800 MHz Athlon Thunderbird

2^13466916 · (2^13466917-1)

2^20996011-1

6320430

2003-Nov-17

Michael Shafer, George Woltman / GIMPS

L-L / Prime95 on 2 GHz Dell Dimension

2^20996010 · (2^20996011-1)

2^24036583-1

7235733

2004-May-15

Josh Findley, George Woltman / GIMPS

L-L / Prime95 on 2.4 GHz Pentium 4 PC

2^24036582 · (2^24036583-1)

2^25964951-1

7816230

2005-Feb-18

Martin Nowak, George Woltman / GIMPS

L-L / Prime95 on 2.4 GHz Pentium 4 PC

2^25964950 · (2^25964951-1)

2^30402457-1

9152052

2005-Dec-15

Curtis Cooper & Steven Boone, George Woltman / GIMPS

L-L / Prime95 on 2 GHz Pentium 4 PC

2^30402456 · (2^30402457-1)

2^32582657-1

9808358

2006-Sep-04

Curtis Cooper & Steven Boone, George Woltman / GIMPS

L-L / Prime95 on 3 GHz Pentium 4 PC

2^32582656 · (2^32582657-1)

2^37156667-1

11185272

2008-Sep-06

Hans-Michael Elvenich, George Woltman / GIMPS

L-L / Prime95 on 2.83 GHz Core 2 Duo PC

2^37156666 · (2^37156667-1)

2^42643801-1

12837064

2009-Apr-12

Odd Magnar Strindmo, George Woltman / GIMPS

L-L / Prime95 on 3 GHz Core 2 PC

2^42643800 · (2^42643801-1)

2^43112609-1

12978189

2008-Aug-23

Edson Smith, George Woltman / GIMPS

L-L / Prime95 on Dell Optiplex 745

2^43112608 · (2^43112609-1)

2^57885161-1

17425170

2013-Jan-25

Curtis Cooper, George Woltman / GIMPS

L-L / Prime95 on Intel Core2 Duo E8400

2^57885160 · (2^57885161-1)

2^74207281-1

22338618

2016-Jan-07

Curtis Cooper, George Woltman / GIMPS

L-L / Prime95 on Intel i7-4790

2^74207280 · (2^74207281-1)

2^77232917-1

23249425

2017-Dec-26

Jonathan Pace, George Woltman / GIMPS

L-L / Prime95 on Intel Core i5-6600

2^77232916 · (2^77232917-1)

51*

2^82589933-1

24862048

2018-Dec-07

Patrick Laroche, George Woltman / GIMPS

L-L / Prime95 on Intel Core i5-4590T

2^82589932 · (2^82589933-1)

52*

2^136279841-1

41024320

2024-Oct-12

Luke Durant, Mihai Preda, George Woltman / GIMPS

PRP / PRPLL on NVIDIA A100

2^136279840 · (2^136279841-1)

M77232917

M136279841

Distribution graph of Mersenne Primes found by GIMPS

10000000

20000000

30000000

40000000

50000000

60000000

70000000

80000000

90000000

100000000

110000000

120000000

130000000

140000000

1996

1998

2000

2002

2004

2006

2008

2010

2012

2014

2016

2018

2020

2022

2024

2026

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront