Mersenne prime
List of known Mersenne primes
The table below lists all known Mersenne primes (sequence A000043 (p) and A000668 (Mₚ) in OEIS): M₄₂ ₆₄₃ ₈₀₁ was first reported by a machine on April 12, 2009; however, no human took notice of this fact until June 4.

Mersenne prime

Section Title: List of known Mersenne primes
Table Section Text: The table below lists all known Mersenne primes (sequence A000043 (p) and A000668 (Mₚ) in OEIS): M₄₂ ₆₄₃ ₈₀₁ was first reported by a machine on April 12, 2009; however, no human took notice of this fact until June 4.

#	p	Mp	Mp digits	Discovered	Discoverer	Method used

1	2	3	1	c. 430 BC	Ancient Greek mathematicians

2	3	7	1	c. 430 BC	Ancient Greek mathematicians

3	5	31	2	c. 300 BC	Ancient Greek mathematicians

4	7	127	3	c. 300 BC	Ancient Greek mathematicians

5	13	8191	4	1456	Anonymous	Trial division

6	17	131071	6	1588	Pietro Cataldi	Trial division

7	19	524287	6	1588	Pietro Cataldi	Trial division

8	31	2147483647	10	1772	Leonhard Euler	Enhanced trial division

9	61	2305843009213693951	19	1883 November	Ivan M. Pervushin	Lucas sequences

10	89	618970019642...137449562111	27	1911 June	Ralph Ernest Powers	Lucas sequences

11	107	162259276829...578010288127	33	1914 June 1	Ralph Ernest Powers	Lucas sequences

12	127	170141183460...715884105727	39	1876 January 10	Édouard Lucas	Lucas sequences

13	521	686479766013...291115057151	157	1952 January 30	Raphael M. Robinson	LLT / SWAC

14	607	531137992816...219031728127	183	1952 January 30	Raphael M. Robinson	LLT / SWAC

15	1,279	104079321946...703168729087	386	1952 June 25	Raphael M. Robinson	LLT / SWAC

16	2,203	147597991521...686697771007	664	1952 October 7	Raphael M. Robinson	LLT / SWAC

17	2,281	446087557183...418132836351	687	1952 October 9	Raphael M. Robinson	LLT / SWAC

18	3,217	259117086013...362909315071	969	1957 September 8	Hans Riesel	LLT / BESK

19	4,253	190797007524...815350484991	1,281	1961 November 3	Alexander Hurwitz	LLT / IBM 7090

20	4,423	285542542228...902608580607	1,332	1961 November 3	Alexander Hurwitz	LLT / IBM 7090

21	9,689	478220278805...826225754111	2,917	1963 May 11	Donald B. Gillies	LLT / ILLIAC II

22	9,941	346088282490...883789463551	2,993	1963 May 16	Donald B. Gillies	LLT / ILLIAC II

23	11,213	281411201369...087696392191	3,376	1963 June 2	Donald B. Gillies	LLT / ILLIAC II

24	19,937	431542479738...030968041471	6,002	1971 March 4	Bryant Tuckerman	LLT / IBM 360/91

25	21,701	448679166119...353511882751	6,533	1978 October 30	Landon Curt Noll & Laura Nickel	LLT / CDC Cyber 174

26	23,209	402874115778...523779264511	6,987	1979 February 9	Landon Curt Noll	LLT / CDC Cyber 174

27	44,497	854509824303...961011228671	13,395	1979 April 8	Harry L. Nelson & David Slowinski	LLT / Cray 1

28	86,243	536927995502...709433438207	25,962	1982 September 25	David Slowinski	LLT / Cray 1

29	110,503	521928313341...083465515007	33,265	1988 January 29	Walter Colquitt & Luke Welsh	LLT / NEC SX-2

30	132,049	512740276269...455730061311	39,751	1983 September 19	David Slowinski	LLT / Cray X-MP

31	216,091	746093103064...103815528447	65,050	1985 September 1	David Slowinski	LLT / Cray X-MP/24

32	756,839	174135906820...328544677887	227,832	1992 February 17	David Slowinski & Paul Gage	LLT / Harwell Lab's Cray-2

33	859,433	129498125604...243500142591	258,716	1994 January 4	David Slowinski & Paul Gage	LLT / Cray C90

34	1,257,787	412245773621...976089366527	378,632	1996 September 3	David Slowinski & Paul Gage	LLT / Cray T94

35	1,398,269	814717564412...868451315711	420,921	1996 November 13	GIMPS / Joel Armengaud	LLT / Prime95 on 90 MHz Pentium

36	2,976,221	623340076248...743729201151	895,932	1997 August 24	GIMPS / Gordon Spence	LLT / Prime95 on 100 MHz Pentium

37	3,021,377	127411683030...973024694271	909,526	1998 January 27	GIMPS / Roland Clarkson	LLT / Prime95 on 200 MHz Pentium

38	6,972,593	437075744127...142924193791	2,098,960	1999 June 1	GIMPS / Nayan Hajratwala	LLT / Prime95 on 350 MHz Pentium II IBM Aptiva

39	13,466,917	924947738006...470256259071	4,053,946	2001 November 14	GIMPS / Michael Cameron	LLT / Prime95 on 800 MHz Athlon T-Bird

40	20,996,011	125976895450...762855682047	6,320,430	2003 November 17	GIMPS / Michael Shafer	LLT / Prime95 on 2 GHz Dell Dimension

41	24,036,583	299410429404...882733969407	7,235,733	2004 May 15	GIMPS / Josh Findley	LLT / Prime95 on 2.4 GHz Pentium 4

42	25,964,951	122164630061...280577077247	7,816,230	2005 February 18	GIMPS / Martin Nowak	LLT / Prime95 on 2.4 GHz Pentium 4

43	30,402,457	315416475618...411652943871	9,152,052	2005 December 15	GIMPS / Curtis Cooper & Steven Boone	LLT / Prime95 on 2 GHz Pentium 4

44	32,582,657	124575026015...154053967871	9,808,358	2006 September 4	GIMPS / Curtis Cooper & Steven Boone	LLT / Prime95 on 3 GHz Pentium 4

45	37,156,667	202254406890...022308220927	11,185,272	2008 September 6	GIMPS / Hans-Michael Elvenich	LLT / Prime95 on 2.83 GHz Core 2 Duo

46	42,643,801	169873516452...765562314751	12,837,064	2009 June 4	GIMPS / Odd M. Strindmo	LLT / Prime95 on 3 GHz Core 2

47	43,112,609	316470269330...166697152511	12,978,189	2008 August 23	GIMPS / Edson Smith	LLT / Prime95 on Dell Optiplex 745

48	57,885,161	581887266232...071724285951	17,425,170	2013 January 25	GIMPS / Curtis Cooper	LLT / Prime95 on 3 GHz Intel Core2 Duo E8400

49	74,207,281	300376418084...391086436351	22,338,618	2016 January 7	GIMPS / Curtis Cooper	LLT / Prime95 on Intel Core i7-4790

50	77,232,917	467333183359...069762179071	23,249,425	2017 December 26	GIMPS / Jon Pace	LLT / Prime95 on 3.3 GHz Intel Core i5-6600

51	82,589,933	148894445742...325217902591	24,862,048	2018 December 7	GIMPS / Patrick Laroche	LLT / Prime95 on Intel Core i5-4590T

Sentence(s)

Édouard Lucas proved in 1876 that M₁₂₇ is Mersenne prime.

final_sentence: Édouard Lucas proved in 1876 that M₁₂₇ is Mersenne prime.