# | 2p-1 | Digits | Date Discovered | Discovered By | Method / Hardware | Perfect Number |
---|
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 | 21,279-1 | 386 | 1952 Jun 25 | Raphael M. Robinson | L-L / SWAC | 21,278 · (21,279-1) |
16 | 22,203-1 | 664 | 1952 Oct 07 | Raphael M. Robinson | L-L / SWAC | 22,202 · (22,203-1) |
17 | 22,281-1 | 687 | 1952 Oct 09 | Raphael M. Robinson | L-L / SWAC | 22,280 · (22,281-1) |
18 | 23,217-1 | 969 | 1957 Sep 08 | Hans Riesel | L-L / BESK | 23,216 · (23,217-1) |
19 | 24,253-1 | 1,281 | 1961 Nov 03 | Alexander Hurwitz | L-L / IBM 7090 | 24,252 · (24,253-1) |
20 | 24,423-1 | 1,332 | 1961 Nov 03 | Alexander Hurwitz | L-L / IBM 7090 | 24,422 · (24,423-1) |
21 | 29,689-1 | 2,917 | 1963 May 11 | Donald B. Gillies | L-L / ILLIAC II | 29,688 · (29,689-1) |
22 | 29,941-1 | 2,993 | 1963 May 16 | Donald B. Gillies | L-L / ILLIAC II | 29,940 · (29,941-1) |
23 | 211,213-1 | 3,376 | 1963 Jun 02 | Donald B. Gillies | L-L / ILLIAC II | 211,212 · (211,213-1) |
24 | 219,937-1 | 6,002 | 1971 Mar 04 | Bryant Tuckerman | L-L / IBM 360/91 | 219,936 · (219,937-1) |
25 | 221,701-1 | 6,533 | 1978 Oct 30 | Landon Curt Noll & Laura Nickel | L-L / CDC Cyber 174 | 221,700 · (221,701-1) |
26 | 223,209-1 | 6,987 | 1979 Feb 09 | Landon Curt Noll | L-L / CDC Cyber 174 | 223,208 · (223,209-1) |
27 | 244,497-1 | 13,395 | 1979 Apr 08 | Harry Lewis Nelson & David Slowinski | L-L / Cray 1 | 244,496 · (244,497-1) |
28 | 286,243-1 | 25,962 | 1982 Sep 25 | David Slowinski | L-L / Cray 1 | 286,242 · (286,243-1) |
29 | 2110,503-1 | 33,265 | 1988 Jan 28 | Walter Colquitt & Luke Welsh | L-L / NEC SX-2 | 2110,502 · (2110,503-1) |
30 | 2132,049-1 | 39,751 | 1983 Sep 19 | David Slowinski | L-L / Cray X-MP | 2132,048 · (2132,049-1) |
31 | 2216,091-1 | 65,050 | 1985 Sep 01 | David Slowinski | L-L / Cray X-MP/24 | 2216,090 · (2216,091-1) |
32 | 2756,839-1 | 227,832 | 1992 Feb 19 | David Slowinski & Paul Gage | L-L / Maple on Harwell Lab Cray-2 | 2756,838 · (2756,839-1) |
33 | 2859,433-1 | 258,716 | 1994 Jan 04 | David Slowinski & Paul Gage | L-L / Cray C90 | 2859,432 · (2859,433-1) |
34 | 21,257,787-1 | 378,632 | 1996 Sep 03 | David Slowinski & Paul Gage | L-L / Cray T94 | 21,257,786 · (21,257,787-1) |
35 | 21,398,269-1 | 420,921 | 1996 Nov 13 | GIMPS / Joel Armengaud | L-L / Prime95 on 90 MHz Pentium PC | 21,398,268 · (21,398,269-1) |
36 | 22,976,221-1 | 895,932 | 1997 Aug 24 | GIMPS / Gordon Spence | L-L / Prime95 on 100 MHz Pentium PC | 22,976,220 · (22,976,221-1) |
37 | 23,021,377-1 | 909,526 | 1998 Jan 27 | GIMPS / Roland Clarkson | L-L / Prime95 on 200 MHz Pentium PC | 23,021,376 · (23,021,377-1) |
38 | 26,972,593-1 | 2,098,960 | 1999 Jun 01 | GIMPS / Nayan Hajratwala | L-L / Prime95 on 350 MHz Pentium II IBM Aptiva | 26,972,592 · (26,972,593-1) |
39 | 213,466,917-1 | 4,053,946 | 2001 Nov 14 | GIMPS / Michael Cameron | L-L / Prime95 on 800 MHz Athlon Thunderbird | 213,466,916 · (213,466,917-1) |
40 | 220,996,011-1 | 6,320,430 | 2003 Nov 17 | GIMPS / Michael Shafer | L-L / Prime95 on 2 GHz Dell Dimension | 220,996,010 · (220,996,011-1) |
41 | 224,036,583-1 | 7,235,733 | 2004 May 15 | GIMPS / Josh Findley | L-L / Prime95 on 2.4 GHz Pentium 4 PC | 224,036,582 · (224,036,583-1) |
42 | 225,964,951-1 | 7,816,230 | 2005 Feb 18 | GIMPS / Martin Nowak | L-L / Prime95 on 2.4 GHz Pentium 4 PC | 225,964,950 · (225,964,951-1) |
43 | 230,402,457-1 | 9,152,052 | 2005 Dec 15 | GIMPS / Curtis Cooper & Steven Boone | L-L / Prime95 on 2 GHz Pentium 4 PC | 230,402,456 · (230,402,457-1) |
44 | 232,582,657-1 | 9,808,358 | 2006 Sep 04 | GIMPS / Curtis Cooper & Steven Boone | L-L / Prime95 on 3 GHz Pentium 4 PC | 232,582,656 · (232,582,657-1) |
45 | 237,156,667-1 | 11,185,272 | 2008 Sep 06 | GIMPS / Hans-Michael Elvenich | L-L / Prime95 on 2.83 GHz Core 2 Duo PC | 237,156,666 · (237,156,667-1) |
46 | 242,643,801-1 | 12,837,064 | 2009 Jun 04 | GIMPS / Odd M. Strindmo | L-L / Prime95 on 3 GHz Core 2 PC | 242,643,800 · (242,643,801-1) |
47 | 243,112,609-1 | 12,978,189 | 2008 Aug 23 | GIMPS / Edson Smith | L-L / Prime95 on Dell Optiplex 745 | 243,112,608 · (243,112,609-1) |
48 | 257,885,161-1 | 17,425,170 | 2013 Jan 25 | GIMPS / Curtis Cooper | L-L / Prime95 on Intel Core2 Duo E8400 @ 3.00GHz | 257,885,160 · (257,885,161-1) |
49* | 274,207,281-1 | 22,338,618 | 2016 Jan 07 | GIMPS / Curtis Cooper | L-L / Prime95 on Intel i7-4790 @ 3.60GHz | 274,207,280 · (274,207,281-1) |
50* | 277,232,917-1 | 23,249,425 | 2017 Dec 26 | GIMPS / Jon Pace | L-L / Prime95 on Intel i5-6600 @ 3.30GHz | 277,232,916 · (277,232,917-1) |
51* | 282,589,933-1 | 24,862,048 | 2018 Dec 07 | GIMPS / Patrick Laroche | L-L / Prime95 on Intel i5-4590T @ 2.0GHz | 282,589,932 · (282,589,933-1) |