# | 2p-1 | Digits | Date Discovered | Discovered By | Method / Hardware | Perfect Number |
---|
1 | 22-1 | 1 | ancient | ancient | | 21 · (22-1) |
2 | 23-1 | 1 | ancient | ancient | | 22 · (23-1) |
3 | 25-1 | 2 | ancient | ancient | | 24 · (25-1) |
4 | 27-1 | 3 | ancient | ancient | | 26 · (27-1) |
5 | 213-1 | 4 | 1456 | anonymous | trial division | 212 · (213-1) |
6 | 217-1 | 6 | 1588 | Cataldi | trial division | 216 · (217-1) |
7 | 219-1 | 6 | 1588 | Cataldi | trial division | 218 · (219-1) |
8 | 231-1 | 10 | 1772 | Euler | Enhanced trial division | 230 · (231-1) |
9 | 261-1 | 19 | 1883 | Pervushin | Lucas sequences | 260 · (261-1) |
10 | 289-1 | 27 | 1911 | Powers | Lucas sequences | 288 · (289-1) |
11 | 2107-1 | 33 | 1914 | Powers | Lucas sequences | 2106 · (2107-1) |
12 | 2127-1 | 39 | 1876 | Lucas | Lucas sequences | 2126 · (2127-1) |
13 | 2521-1 | 157 | 1952-Jan-30 | Robinson | L-L / SWAC | 2520 · (2521-1) |
14 | 2607-1 | 183 | 1952-Jan-30 | Robinson | L-L / SWAC | 2606 · (2607-1) |
15 | 21279-1 | 386 | 1952-Jun-25 | Robinson | L-L / SWAC | 21278 · (21279-1) |
16 | 22203-1 | 664 | 1952-Oct-07 | Robinson | L-L / SWAC | 22202 · (22203-1) |
17 | 22281-1 | 687 | 1952-Oct-09 | Robinson | L-L / SWAC | 22280 · (22281-1) |
18 | 23217-1 | 969 | 1957-Sep-08 | Riesel | L-L / BESK | 23216 · (23217-1) |
19 | 24253-1 | 1281 | 1961-Nov-03 | Hurwitz | L-L / IBM 7090 | 24252 · (24253-1) |
20 | 24423-1 | 1332 | 1961-Nov-03 | Hurwitz | L-L / IBM 7090 | 24422 · (24423-1) |
21 | 29689-1 | 2917 | 1963-May-11 | Gillies | L-L / ILLIAC II | 29688 · (29689-1) |
22 | 29941-1 | 2993 | 1963-May-16 | Gillies | L-L / ILLIAC II | 29940 · (29941-1) |
23 | 211213-1 | 3376 | 1963-Jun-02 | Gillies | L-L / ILLIAC II | 211212 · (211213-1) |
24 | 219937-1 | 6002 | 1971-Mar-04 | Tuckerman | L-L / IBM 360/91 | 219936 · (219937-1) |
25 | 221701-1 | 6533 | 1978-Oct-30 | Noll & Nickel | L-L / CDC Cyber 174 | 221700 · (221701-1) |
26 | 223209-1 | 6987 | 1979-Feb-09 | Noll | L-L / CDC Cyber 174 | 223208 · (223209-1) |
27 | 244497-1 | 13395 | 1979-Apr-08 | Nelson & Slowinski | L-L / Cray 1 | 244496 · (244497-1) |
28 | 286243-1 | 25962 | 1982-Sep-25 | Slowinski | L-L / Cray 1 | 286242 · (286243-1) |
29 | 2110503-1 | 33265 | 1988-Jan-28 | Colquitt & Welsh | L-L / NEC SX-2 | 2110502 · (2110503-1) |
30 | 2132049-1 | 39751 | 1983-Sep-20 | Slowinski | L-L / Cray X-MP | 2132048 · (2132049-1) |
31 | 2216091-1 | 65050 | 1985-Sep-06 | Slowinski | L-L / Cray X-MP/24 | 2216090 · (2216091-1) |
32 | 2756839-1 | 227832 | 1992-Feb-19 | Slowinski, Gage & Harwell | L-L / Maple on Harwell Lab Cray-2 | 2756838 · (2756839-1) |
33 | 2859433-1 | 258716 | 1994-Jan-10 | Slowinski & Gage | L-L / Cray C90 | 2859432 · (2859433-1) |
34 | 21257787-1 | 378632 | 1996-Sep-03 | Slowinski & Gage | L-L / Cray T94 | 21257786 · (21257787-1) |
35 | 21398269-1 | 420921 | 1996-Nov-13 | Armengaud, Woltman et. al. GIMPS | L-L / Prime95 on 90 MHz Pentium PC | 21398268 · (21398269-1) |
36 | 22976221-1 | 895932 | 1997-Aug-24 | Spence, Woltman et. al. GIMPS | L-L / Prime95 on 100 MHz Pentium PC | 22976220 · (22976221-1) |
37 | 23021377-1 | 909526 | 1998-Jan-27 | Clarkson, Woltman, Kurowski et. al. GIMPS & PrimeNet | L-L / Prime95 on 200 MHz Pentium PC | 23021376 · (23021377-1) |
38 | 26972593-1 | 2098960 | 1999-Jun-01 | Hajratwala, Woltman, Kurowski et. al. GIMPS & PrimeNet | L-L / Prime95 on 350 MHz Pentium II IBM Aptiva | 26972592 · (26972593-1) |
39 | 213466917-1 | 4053946 | 2001-Nov-14 | Cameron, Woltman, Kurowski et. al. GIMPS & PrimeNet | L-L / Prime95 on 800 MHz Athlon Thunderbird | 213466916 · (213466917-1) |
40 | 220996011-1 | 6320430 | 2003-Nov-17 | Shafer, Woltman, Kurowski et. al. GIMPS & PrimeNet | L-L / Prime95 on 2 GHz Dell Dimension | 220996010 · (220996011-1) |
41 | 224036583-1 | 7235733 | 2004-May-15 | Findley, Woltman, Kurowski et. al. GIMPS & PrimeNet | L-L / Prime95 on 2.4 GHz Pentium 4 PC | 224036582 · (224036583-1) |
42 | 225964951-1 | 7816230 | 2005-Feb-18 | Nowak, Woltman, Kurowski et. al. GIMPS & PrimeNet | L-L / Prime95 on 2.4 GHz Pentium 4 PC | 225964950 · (225964951-1) |
43 | 230402457-1 | 9152052 | 2005-Dec-15 | Cooper, Boone, Woltman, Kurowski et. al. GIMPS & PrimeNet | L-L / Prime95 on 2 GHz Pentium 4 PC | 230402456 · (230402457-1) |
44 | 232582657-1 | 9808358 | 2006-Sep-04 | Cooper, Boone, Woltman, Kurowski et. al. GIMPS & PrimeNet | L-L / Prime95 on 3 GHz Pentium 4 PC | 232582656 · (232582657-1) |
45 | 237156667-1 | 11185272 | 2008-Sep-06 | Elvenich, Woltman, Kurowski, et al. GIMPS & PrimeNet | L-L / Prime95 on 2.83 GHz Core 2 Duo PC | 237156666 · (237156667-1) |
46 | 242643801-1 | 12837064 | 2009-Apr-12 | Strindmo, Woltman, Kurowski, et al. GIMPS & PrimeNet | L-L / Prime95 on 3 GHz Core 2 PC | 242643800 · (242643801-1) |
47 | 243112609-1 | 12978189 | 2008-Aug-23 | Smith, Woltman, Kurowski, et al. GIMPS & PrimeNet | L-L / Prime95 on Dell Optiplex 745 | 243112608 · (243112609-1) |
48 | 257885161-1 | 17425170 | 2013-Jan-25 | Cooper, Woltman, Kurowski, et al. GIMPS & PrimeNet | L-L / Prime95 v27.7 on Intel Core2 Duo E8400 @ 3.00GHz | 257885160 · (257885161-1) |
49* | 274207281-1 | 22338618 | 2016-Jan-07 | C. Cooper, G. Woltman, S. Kurowski, A. Blosser, et al. | L-L / Prime95 on Intel i7-4790 @ 3.60GHz | 274207280 · (274207281-1) |
50* | 277232917-1 | 23249425 | 2017-Dec-26 | Jonathan Pace, George Woltman, Scott Kurowski, Aaron Blosser, et al. | L-L / Prime95 on Intel Core i5-6600 | 277232916 · (277232917-1) |
51* | 282589933-1 | 24862048 | 2018-Dec-07 | Patrick Laroche, George Woltman, Scott Kurowski, Aaron Blosser, et al. | L-L / Prime95 on Intel Core i5-4590T | 282589932 · (282589933-1) |
0
10000000
20000000
30000000
40000000
50000000
60000000
70000000
80000000
90000000
1996
1998
2000
2002
2004
2006
2008
2010
2012
2014
2016
2018
2020
2022
2024
M51*
282589933-1
2018-Dec-07
M50*
277232917-1
2017-Dec-26
M49*
274207281-1
2016-Jan-07
M48
257885161-1
2013-Jan-25
M47
243112609-1
2008-Aug-23
M46
242643801-1
2009-Apr-12
M45
237156667-1
2008-Sep-06
M44
232582657-1
2006-Sep-04
M43
230402457-1
2005-Dec-15
M42
225964951-1
2005-Feb-18
M41
224036583-1
2004-May-15
M40
220996011-1
2003-Nov-17
M39
213466917-1
2001-Nov-14
M38
26972593-1
1999-Jun-01
M37
23021377-1
1998-Jan-27
M36
22976221-1
1997-Aug-24
M35
21398269-1
1996-Nov-13