For more information, please go directly to Chris K. Caldwell's excelent page on Mersenne Primes and Perfect Numbers.
| Rank | Number | Digits | Discoverer | |
|---|---|---|---|---|
| 1 | 21(22-1) | 6 | 1 | ? |
| 2 | 22(23-1) | 28 | 2 | ? |
| 3 | 24(25-1) | 496 | 3 | ? |
| 4 | 26(27-1) | 8128 | 4 | ? |
| 5 | 212(213-1) | 33550336 | 8 | 1456 ? |
| 6 | 216(217-1) | 8589869056 | 10 | 1588 Cataldi |
| 7 | 218(219-1) | 137438691328 | 12 | 1588 Cataldi |
| 8 | 230(231-1) | click here | 19 | 1772 Euler |
| 9 | 260(261-1) | click here | 37 | 1883 Pervushin |
| 10 | 288(289-1) | click here | 54 | 1911 Powers |
| 11 | 2106(2107-1) | click here | 65 | 1914 Powers |
| 12 | 2126(2127-1) | click here | 77 | 1876 Lucas |
| 13 | 2520(2521-1) | click here | 314 | 1952 Robinson |
| 14 | 2606(2607-1) | click here | 366 | 1952 Robinson |
| 15 | 21278(21279-1) | click here | 770 | 1952 Robinson |
| 16 | 22202(22203-1) | click here | 1327 | 1952 Robinson |
| 17 | 22280(22281-1) | click here | 1373 | 1952 Robinson |
| 18 | 23216(23217-1) | click here | 1937 | 1957 Riesel |
| 19 | 24252(24253-1) | click here | 2561 | 1961 Hurwitz |
| 20 | 24422(24423-1) | click here | 2663 | 1961 Hurwitz |
| 21 | 29688(29689-1) | click here | 5834 | 1963 Gillies |
| 22 | 29940(29941-1) | click here | 5985 | 1963 Gillies |
| 23 | 211212(211213-1) | click here | 6751 | 1963 Gillies |
| 24 | 219936(219937-1) | click here | 12003 | 1971 Tuckerman |
| 25 | 221700(221701-1) | click here | 13066 | 1978 Noll&Nickel |
| 26 | 223208(223209-1) | click here | 13973 | 1979 Noll |
| 27 | 244496(244497-1) | click here | 26790 | 1979 Nelson&Slowinski |
| 28 | 286242(286243-1) | click here | 51924 | 1982 Slowinski |
| 29 | 2110502(2110503-1) | click here | 66530 | 1988 Colquitt&Welsh |
| 30 | 2132048(2132049-1) | click here | 79502 | 1983 Slowinski |
| 31 | 2216090(2216091-1) | click here | 130100 | 1985 Slowinski |
| 32 | 2756838(2756839-1) | click here | 455663 | 1992 Slowinski&Gage |
| 33 | 2859432(2859433-1) | click here | 517430 | 1994 Slowinski&Gage |
| 34 | 21257786(21257787-1) | click here | 757263 | 1996 Slowinski&Gage |
| 35 | 21398268(21398269-1) | click here | 841842 | 1996 Armengaud, Woltman, et. al. |
| 36 | 22976220(22976221-1) | click here | 1791864 | 1997 Spence, Woltman, et. al. |
| 37 | 23021376(23021377-1) | click here | 1819050 | 1998 Clarkson, Woltman, Kurowski, et. al. |
| 38 | 26972592(26972593-1) | click here | 4197919 | 1999 Hajratwala, Woltman, Kurowski, et. al. |
| 39 | 213466916(213466917-1) | click here | 8107892 | 2001 Cameron, Woltman, Kurowski, et. al. |
| [40] | 220996010(220996011-1) | click here | 12640858 | 2003 Shafer, Woltman, Kurowski, et. al. |
| [41] | 224036582(224036583-1) | click here | 14471465 | 2004 Findley, Woltman, Kurowski, et. al. |
| [42] | 225964950(225964951-1) | click here | 15632458 | 2005 Nowak, Woltman, Kurowski, et. al. |
| [43] | 230402456(230402457-1) | click here | 18304103 | 2005 Cooper, Boone, Woltman, Kurowski, et al. |
| [44] | 232582656(232582657-1) | click here | 19616714 | 2006 Cooper, Boone, Woltman, Kurowski, et al. |
Last update: 11-Sep-2006