List of known Mersenne prime numbers (original) (raw)

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

21257787-1

378632

1996 Sep 03

David Slowinski & Paul Gage

L-L / Cray T94

21257786 · (21257787-1)

35

21398269-1

420921

1996 Nov 13

GIMPS / Joel Armengaud

L-L / Prime95 on 90 MHz Pentium PC

21398268 · (21398269-1)

36

22976221-1

895932

1997 Aug 24

GIMPS / Gordon Spence

L-L / Prime95 on 100 MHz Pentium PC

22976220 · (22976221-1)

37

23021377-1

909526

1998 Jan 27

GIMPS / Roland Clarkson

L-L / Prime95 on 200 MHz Pentium PC

23021376 · (23021377-1)

38

26972593-1

2098960

1999 Jun 01

GIMPS / Nayan Hajratwala

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

26972592 · (26972593-1)

39

213466917-1

4053946

2001 Nov 14

GIMPS / Michael Cameron

L-L / Prime95 on 800 MHz Athlon Thunderbird

213466916 · (213466917-1)

40

220996011-1

6320430

2003 Nov 17

GIMPS / Michael Shafer

L-L / Prime95 on 2 GHz Dell Dimension

220996010 · (220996011-1)

41

224036583-1

7235733

2004 May 15

GIMPS / Josh Findley

L-L / Prime95 on 2.4 GHz Pentium 4 PC

224036582 · (224036583-1)

42

225964951-1

7816230

2005 Feb 18

GIMPS / Martin Nowak

L-L / Prime95 on 2.4 GHz Pentium 4 PC

225964950 · (225964951-1)

43

230402457-1

9152052

2005 Dec 15

GIMPS / Curtis Cooper & Steven Boone

L-L / Prime95 on 2 GHz Pentium 4 PC

230402456 · (230402457-1)

44

232582657-1

9808358

2006 Sep 04

GIMPS / Curtis Cooper & Steven Boone

L-L / Prime95 on 3 GHz Pentium 4 PC

232582656 · (232582657-1)

45

237156667-1

11185272

2008 Sep 06

GIMPS / Hans-Michael Elvenich

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

237156666 · (237156667-1)

46

242643801-1

12837064

2009 Jun 04

GIMPS / Odd M. Strindmo

L-L / Prime95 on 3 GHz Core 2 PC

242643800 · (242643801-1)

47

243112609-1

12978189

2008 Aug 23

GIMPS / Edson Smith

L-L / Prime95 on Dell Optiplex 745

243112608 · (243112609-1)

48

257885161-1

17425170

2013 Jan 25

GIMPS / Curtis Cooper

L-L / Prime95 on Intel Core2 Duo E8400 @ 3.00GHz

257885160 · (257885161-1)

49

274207281-1

22338618

2016 Jan 07

GIMPS / Curtis Cooper

L-L / Prime95 on Intel i7-4790 @ 3.60GHz

274207280 · (274207281-1)

50

277232917-1

23249425

2017 Dec 26

GIMPS / Jon Pace

L-L / Prime95 on Intel i5-6600 @ 3.30GHz

277232916 · (277232917-1)

51*

282589933-1

24862048

2018 Dec 07

GIMPS / Patrick Laroche

L-L / Prime95 on Intel i5-4590T @ 2.0GHz

282589932 · (282589933-1)

52*

2136279841-1

41024320

2024 Oct 12

GIMPS / Luke Durant

PRP / Gpuowl on NVIDIA A100

2136279840 · (2136279841-1)