# Mersenne Prime/Current Status

## Currently known Mersenne Primes

The list of all known Mersenne primes is as follows:

Prime $p$ Prime $M_p$ Number of digits in $M_p$ Date discovered Discovered by
1 $2$ $3$ $1$ Known to Euclid
2 $3$ $7$ $1$ Known to Euclid
3 $5$ $31$ $2$ Known to Euclid
4 $7$ $127$ $3$ Known to Euclid
5 $13$ $8191$ $4$ 1456
6 $17$ $131 \, 071$ $6$ 1588 Pietro Antonio Cataldi
7 $19$ $524 \, 287$ $6$ 1588 Pietro Antonio Cataldi
8 $31$ $2 \, 147 \, 483 \, 647$ $10$ 1772 Leonhard Paul Euler
9 $61$ $2 \cdotp 305 \times 10^{18}$ $19$ 1883 Ivan Mikheevich Pervushin
10 $89$ $6 \cdotp 189 \times 10^{26}$ $27$ 1911 R.E. Powers
11 $107$ $1 \cdotp 622 \times 10^{32}$ $33$ 1914 R.E. Powers
12 $127$ $1 \cdotp 701 \times 10^{38}$ $39$ 1876 Édouard Lucas
13 $521$ $6 \cdotp 865 \times 10^{156}$ $157$ 30 Jan 1952 Raphael Mitchel Robinson
14 $607$ $5 \cdotp 311 \times 10^{182}$ $183$ 30 Jan 1952 Raphael Mitchel Robinson
15 $1279$ $1 \cdotp 041 \times 10^{385}$ $386$ 25 Jun 1952 Raphael Mitchel Robinson
16 $2203$ $1 \cdotp 476 \times 10^{663}$ $664$ 7 Oct 1952 Raphael Mitchel Robinson
17 $2281$ $4 \cdotp 461 \times 10^{686}$ $687$ 9 Oct 1952 Raphael Mitchel Robinson
18 $3217$ $2 \cdotp 591 \times 10^{968}$ $969$ 8 Sept 1957 Hans Ivar Riesel
19 $4253$ $1 \cdotp 908 \times 10^{1280}$ $1281$ 3 Nov 1961 Alexander Hurwitz
20 $4423$ $2 \cdotp 855 \times 10^{1331}$ $1332$ 3 Nov 1961 Alexander Hurwitz
21 $9689$ $4 \cdotp 782 \times 10^{2916}$ $2917$ 11 May 1963 Donald Bruce Gillies
22 $9941$ $3 \cdotp 461 \times 10^{2992}$ $2993$ 16 May 1963 Donald Bruce Gillies
23 $11 \, 213$ $2 \cdotp 814 \times 10^{3375}$ $3376$ 2 Jun 1963 Donald Bruce Gillies
24 $19 \, 937$ $4 \cdotp 315 \times 10^{6001}$ $6002$ 4 Mar 1971 Bryant Tuckerman
25 $21 \, 701$ $4 \cdotp 487 \times 10^{6532}$ $6533$ 30 Oct 1978 Landon Curt Noll and Ariel Nickel
26 $23 \, 209$ $4 \cdotp 029 \times 10^{6986}$ $6987$ 9 Feb 1979 Landon Curt Noll
27 $44 \, 497$ $8 \cdotp 545 \times 10^{13 \, 394}$ $13 \, 395$ 8 Apr 1979 Harry Lewis Nelson and David Slowinski
28 $86 \, 243$ $5 \cdotp 369 \times 10^{25 \, 961}$ $25 \, 962$ 25 Sept 1982 David Slowinski
29 $110 \, 503$ $5 \cdotp 219 \times 10^{33 \, 264}$ $33 \, 265$ 28 Jan 1988 Walt Colquitt and Luke Welsh
30 $132 \, 049$ $5 \cdotp 127 \times 10^{39 \, 750}$ $39 \, 751$ 19 Sept 1983 David Slowinski
31 $216 \, 091$ $7 \cdotp 461 \times 10^{65 \, 049}$ $65 \, 050$ 1 Sept 1985 David Slowinski
32 $756 \, 839$ $1 \cdotp 741 \times 10^{227 \, 831}$ $227 \, 832$ 19 Feb 1992 David Slowinski and Paul Gage
33 $859 \, 433$ $1 \cdotp 295 \times 10^{258 \, 715}$ $258 \, 716$ 4 Jan 1994 David Slowinski and Paul Gage
34 $1 \, 257 \, 787$ $4 \cdotp 122 \times 10^{378 \, 631}$ $378 \, 632$ 3 Sept 1996 David Slowinski and Paul Gage
35 $1 \, 398 \, 269$ $8 \cdotp 147 \times 10^{420 \, 920}$ $420 \, 921$ 13 Nov 1996 GIMPS / Joel Armengaud
36 $2 \, 976 \, 221$ $6 \cdotp 233 \times 10^{895 \, 931}$ $895 \, 932$ 24 Aug 1997 GIMPS / Gordon Spence
37 $3 \, 021 \, 377$ $1 \cdotp 274 \times 10^{909 \, 525}$ $909 \, 526$ 27 Jan 1998 GIMPS / Roland Clarkson
38 $6 \, 972 \, 593$ $4 \cdotp 371 \times 10^{2 \, 098 \, 959}$ $2 \, 098 \, 960$ 1 Jun 1999 GIMPS / Nayan Hajratwala
39 $13 \, 466 \, 917$ $9 \cdotp 249 \times 10^{4 \, 053 \, 945}$ $4 \, 053 \, 946$ 14 Nov 2001 GIMPS / Michael Cameron
40 $20 \, 996 \, 011$ $1 \cdotp 260 \times 10^{6 \, 320 \, 429}$ $6 \, 320 \, 430$ 17 Nov 2003 GIMPS / Michael Shafer
41 $24 \, 036 \, 583$ $2 \cdotp 994 \times 10^{7 \, 235 \, 732}$ $7 \, 235 \, 733$ 15 May 2004 GIMPS / Josh Findley
42 $25 \, 964 \, 951$ $1 \cdotp 222 \times 10^{7 \, 816 \, 229}$ $7 \, 816 \, 230$ 18 Feb 2005 GIMPS / Martin Nowak
43 $30 \, 402 \, 457$ $3 \cdotp 154 \times 10^{9 \, 152 \, 051}$ $9 \, 152 \, 052$ 15 Dec 2005 GIMPS / Curtis Cooper and Steven Boone
44 $32 \, 582 \, 657$ $1 \cdotp 246 \times 10^{9 \, 808 \, 358}$ $9 \, 808 \, 358$ 4 Sept 2006 GIMPS / Curtis Cooper and Steven Boone
45 $37 \, 156 \, 667$ $2 \cdotp 023 \times 10^{11 \, 185 \, 271}$ $11 \, 185 \, 272$ 6 Sept 2008 GIMPS / Hans-Michael Elvenich
46 $42 \, 643 \, 801$ $1 \cdotp 699 \times 10^{12 \, 837 \, 063}$ $12 \, 837 \, 064$ 12 Apr 2009 GIMPS / Odd Magnar Strindmo
47 $43 \, 112 \, 609$ $3 \cdotp 165 \times 10^{12 \, 978 \, 188}$ $12 \, 978 \, 189$ 23 Aug 2008 GIMPS / Edson Smith
$57 \, 885 \, 161$ $5 \cdotp 818 \times 10^{17 \, 425 \, 169}$ $17 \, 425 \, 170$ 25 Jan 2013 GIMPS / Curtis Cooper
$74 \, 207 \, 281$ $3 \cdotp 003 \times 10^{22 \, 338 \, 617}$ $22 \, 338 \, 618$ 07 Jan 2016 GIMPS / Curtis Cooper
$77 \, 232 \, 917$ $4 \cdotp 673 \times 10^{23 \, 249 \, 424}$ $23 \, 249 \, 425$ 26 Dec 2017 GIMPS / Jon Pace
$82 \, 589 \, 933$ $1 \cdotp 488 \times 10^{24 \, 862 \, 047}$ $24 \, 862 \, 048$ 07 Dec 2018 GIMPS / Patrick Laroche

Note that the index numbers of Mersenne primes after no. $47$ are uncertain, as there may still be undiscovered Mersenne primes between the $47$th and $51$st.

Not all numbers in that range have been explored yet.

## Also see

The sequence of the index elements is A000043 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).