จำนวนเฉพาะแมร์แซน
ตารางจำนวนเฉพาะ

| # | p | Mp | Mp จำนวนหลักใน Mp | เวลาที่ค้นพบ (ค> ศ.) | ผู้ค้นพบ | วิธี |
| --- | --- | --- | --- | --- | --- | --- |
| 1 | 2 | 3 | 1 | c. 430 BC | นักคณิตศาสตร์กรีกโบราณ |  |
| 2 | 3 | 7 | 1 | c. 430 BC | นักคณิตศาสตร์กรีกโบราณ |  |
| 3 | 5 | 31 | 2 | c. 300 BC | นักคณิตศาสตร์กรีกโบราณ |  |
| 4 | 7 | 127 | 3 | c. 300 BC | นักคณิตศาสตร์กรีกโบราณ |  |
| 5 | 13 | 8191 | 4 | 1456 | คนทั่วไป | การหารเชิงทดลอง |
| 6 | 17 | 131071 | 6 | 1588 | Pietro Cataldi | การหารเชิงทดลอง |
| 7 | 19 | 524287 | 6 | 1588 | Pietro Cataldi | การหารเชิงทดลอง |
| 8 | 31 | 2147483647 | 10 | 1772 | Leonhard Euler | Enhanced trial division |
| 9 | 61 | 2305843009213693951 | 19 | 1883 November | I. 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 April 12 | 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 | 2015 September 17 | GIMPS / Curtis Cooper | LLT / Prime95 on Intel Core i7-4790 |