Rank dos números perfeitos

Rank	Ano da descoberta	Número perfeito	Número de dígitos	Quem descobriu
1	500 a.C.	2¹ × (2² – 1) = 6	1	Gregos antigos
2	500 a.C.	2² × (2³ – 1) = 228	2	Gregos antigos
3	275 a.C.	2⁴ × (2⁵ – 1) = 496	3	Gregos antigos
4	275 a.C.	2⁶ × (2⁷ – 1) = 8126	4	Gregos antigos
5	1456	2¹² × (2¹³ – 1) = 33550336	8	Anônimo
6	1588	2¹⁶ × (2¹⁷ – 1) = 8589869056	10	Pietro Cataldi
7	1588	2¹⁸ × (2¹⁹ – 1) = 137438691328	12	Pietro Cataldi
8	1772	2³⁰ × (2³¹ – 1) = 2305843008139952128	19	Leonhard Euler
9	1883	2⁶⁰ × (2⁶¹ – 1) = 265845599156 . . . 615953842176	37	Ivan Mikheevich Pervushin
10	1911	2⁸⁸ × (2⁸⁹ – 1) = 191561942608 . . . 321548169216	54	R. E. Powers
11	1914	2¹⁰⁶ × (2¹⁰⁷ – 1) = 131640364585 . . . 117783728128	65	R. E. Powers
12	1876	2¹²⁶ × (2¹²⁷ – 1) = 144740111546 . . . 131199152128	77	Édouard Lucas
13	1952	2⁵²⁰ × (2⁵²¹ – 1) = 235627234572 . . . 160555646976	314	Raphael M. Robinson
14	1952	2⁶⁰⁶ × (2⁶⁰⁷ – 1) = 141053783706 . . . 759537328128	366	Raphael M. Robinson
15	1952	2^1.278 × (2^1.279 – 1) = 541625262843 . . . 764984291328	770	Raphael M. Robinson
16	1952	2^2.202 × (2^2.203 – 1) = 108925835505 . . . 834453782528	1.327	Raphael M. Robinson
17	1952	2^2.280 × (2^2.281 – 1) = 994970543370 . . . 675139915776	1.373	Raphael M. Robinson
18	1957	2^3.216 × (2^3.217 – 1) = 335708321319 . . . 332628525056	1.937	Hans Riesel
19	1961	2^4.252 × (2^4.253 – 1) = 182017490401 . . . 437133377536	2.561	Alexander Hurwitz
20	1961	2^4.422 × (2^4.423 – 1) = 407672717110 . . . 642912534528	2.663	Alexander Hurwitz
21	1963	2^9.688 × (2^9.689 – 1) = 114347317530 . . . 558429577216	5.834	Donald B. Gillies
22	1963	2^9.940 × (2^9.941 – 1) = 598885496387 . . . 324073496576	5.985	Donald B. Gillies
23	1963	2^11.212 × (2^11.213 – 1) = 395961321281 . . . 702691086336	6.751	Donald B. Gillies
24	1971	2^19.936 × (2^19.937 – 1) = 931144559095 . . . 790271942656	12.003	Bryant Tuckerman
25	1978	2^21.700 × (2^21.701 – 1) = 100656497054 . . . 255141605376	13.066	Landon Curt Noll & Laura Nickel
26	1979	2^23.208 × (2^23.209 – 1) = 811537765823 . . . 603941666816	13.973	Landon Curt Noll
27	1979	2^44.496 × (2^44.497 – 1) = 365093519915 . . . 353031827456	26.790	Harry L. Nelson & David Slowinski
28	1982	2^86.242 × (2^86.243 – 1) = 144145836177 . . . 957360406528	51.924	David Slowinski
29	1988	2^110.502 × (2^110.503 – 1) = 136204582133 . . . 233603862528	66.530	Walter Colquitt & Luke Welsh
30	1983	2^132.048 × (2^132.049 – 1) = 131451295454 . . . 491774550016	79.502	David Slowinski
31	1985	2^216.090 × (2^216.091 – 1) = 278327459220 . . . 416840880128	130.100	David Slowinski
32	1992	2^756.838 × (2^756.839 – 1) = 151616570220 . . . 600565731328	455.663	David Slowinski & Paul Gage
33	1994	2^859.432 × (2^859.433 – 1) = 838488226750 . . . 540416167936	517.430	David Slowinski & Paul Gage
34	1996	2^1.257.786 × (2^1.257.787 – 1) = 849732889343 . . . 028118704128	757.263	David Slowinski & Paul Gage
35	1996	2^1.398.268 × (2^1.398.269 – 1) = 331882354881 . . . 017723375616	841.842	GIMPS / Joel Armengaud
36	1997	2^2.976.220 × (2^2.976.221 – 1) = 194276425328 . . . 724174462976	1.791.864	GIMPS / Gordon Spence
37	1998	2^3.021.376 × (2^3.021.377 – 1) = 811686848628 . . . 573022457856	1.819.050	GIMPS / Roland Clarkson
38	1999	2^6.972.592 × (2^6.972.593 – 1) = 955176030521 . . . 475123572736	4.197.919	GIMPS / Nayan Hajratwala
39	2001	2^13.466.916 × (2^13.466.917 – 1) = 427764159021 . . . 460863021056	8.107.892	GIMPS / Michael Cameron
40	2003	2^20.996.010 × (2^20.996.011 – 1) = 793508909365 . . . 578206896128	12.640.858	GIMPS / Michael Shafer
41	2004	2^24.036.582 × (2^24.036.583 – 1) = 448233026179 . . . 460572950528	14.471.465	GIMPS / Josh Findley
42	2005	2^25.964.950 × (2^25.964.951 – 1) = 746209841900 . . . 874791088128	15.632.458	GIMPS / Martin Nowak
43	2005	2^30.402.456 × (2^30.402.457 – 1) = 497437765459 . . . 536164704256	18.304.103	GIMPS / Curtis Cooper & Steven Boone
44	2006	2^32.582.656 × (2^32.582.657 – 1) = 775946855336 . . . 476577120256	19.616.714	GIMPS / Curtis Cooper & Steven Boone
45	2008	2^37.156.666 × (2^37.156.667 – 1) = 204534225534 . . . 975074480128	22.370.543	GIMPS / Hans-Michael Elvenich
46	2009	2^42.643.800 × (2^42.643.801 – 1) = 144285057960 . . . 837377253376	25.674.127	GIMPS / Odd M. Strindmo
47	2008	2^43.112.608 × (2^43.112.609 – 1) = 500767156849 . . . 221145378816	25.956.377	GIMPS / Edson Smith
48	2013	2^57.885.160 × (2^57.885.161 – 1) = 169296395301 . . . 626270130176	34.850.345	GIMPS / Curtis Cooper
49	2016	2^74.207.280 × (2^74.207.281 – 1) = 451129962706 . . . 557930315776	44.677.235	GIMPS / Curtis Cooper

Dados extraídos de:
http://www.mersenne.org/primes/
https://en.wikipedia.org/wiki/List_of_perfect_numbers