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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
42564611851292238 ~1991
425651695959123679 ~1993
42567023851340478 ~1991
42567977102163144910 ~1993
42568283851365678 ~1991
42568499851369998 ~1991
42568763851375278 ~1991
425689372554136239 ~1992
42569099851381998 ~1991
42569531851390638 ~1991
42570323851406478 ~1991
425705093405640739 ~1992
425705993405647939 ~1992
42571499851429998 ~1991
425726597663078639 ~1993
42573359953643241710 ~1996
425734313405874499 ~1992
42573911851478238 ~1991
42574669817433644910 ~1995
42575759851515198 ~1991
42576613945200808710 ~1996
42577211851544238 ~1991
425772372554634239 ~1992
42578219851564398 ~1991
425813873406510979 ~1992
Exponent Prime Factor Digits Year
425826895961576479 ~1993
425846834258468319 ~1992
42586031851720638 ~1991
42589451851789038 ~1991
42590279851805598 ~1991
42591011851820238 ~1991
42591683851833678 ~1991
425924212555545279 ~1992
425949772555698639 ~1992
42595859851917198 ~1991
425967732555806399 ~1992
42596903851938078 ~1991
42597419851948398 ~1991
42598799851975998 ~1991
42598823851976478 ~1991
425988593407908739 ~1992
42599279851985598 ~1991
425995514259955119 ~1992
42600263852005278 ~1991
42600749332285842310 ~1994
42600791852015838 ~1991
42601259852025198 ~1991
42601523852030478 ~1991
42601679852033598 ~1991
42601859852037198 ~1991
Exponent Prime Factor Digits Year
42603299852065998 ~1991
42606563852131278 ~1991
42606659852133198 ~1991
42607199852143998 ~1991
42609263852185278 ~1991
42612023852240478 ~1991
42612299852245998 ~1991
42614111852282238 ~1991
42614471852289438 ~1991
42615011852300238 ~1991
42616751852335038 ~1991
426175034261750319 ~1992
42617651852353038 ~1991
42618743852374878 ~1991
42621671852433438 ~1991
42622259852445198 ~1991
42623291852465838 ~1991
42624143852482878 ~1991
42624671852493438 ~1991
42624971852499438 ~1991
42626411852528238 ~1991
426274332557645999 ~1992
42627971852559438 ~1991
426293412557760479 ~1992
42631499852629998 ~1991
Exponent Prime Factor Digits Year
426317095968439279 ~1993
42632483852649678 ~1991
426331332557987999 ~1992
426334197674015439 ~1993
42633443852668878 ~1991
42634213127902639110 ~1993
42634463852689278 ~1991
42634919852698398 ~1991
42635171852703438 ~1991
426362332558173999 ~1992
42636791852735838 ~1991
42638663852773278 ~1991
42638723852774478 ~1991
42638759852775198 ~1991
426393473411147779 ~1992
426393914263939119 ~1992
42640679102337629710 ~1993
42640859852817198 ~1991
42641327110867450310 ~1993
426438011698...3147511284e4 2009
426441532558649199 ~1992
42644579852891598 ~1991
426447132558682799 ~1992
426448812558692879 ~1992
42645563852911278 ~1991
1955
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25-05-04