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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
55126921968798398531312 ~2006
551286677330772006310 ~2000
551288203551288203110 ~2001
551325959110265191910 ~1999
551340623110268124710 ~1999
551343671110268734310 ~1999
551348543110269708710 ~1999
5513612691323267045711 ~2002
551364133330818479910 ~2000
551415517330849310310 ~2000
551418611110283722310 ~1999
551426699110285339910 ~1999
551453377330872026310 ~2000
551456651441165320910 ~2001
551464451110292890310 ~1999
551465639110293127910 ~1999
551468783110293756710 ~1999
5514745791323538989711 ~2002
551483123110296624710 ~1999
551484599110296919910 ~1999
551493961330896376710 ~2000
551507221882411553710 ~2001
551546173330927703910 ~2000
551569087551569087110 ~2001
551576911992838439910 ~2002
Exponent Prime Factor Digits Year
551578451110315690310 ~1999
551580083110316016710 ~1999
551627753330976651910 ~2000
551646239110329247910 ~1999
551665043110333008710 ~1999
5517108371324106008911 ~2002
551716031110343206310 ~1999
551724683110344936710 ~1999
551742307993136152710 ~2002
551751157331050694310 ~2000
551754299110350859910 ~1999
551764523110352904710 ~1999
551767739110353547910 ~1999
551781623110356324710 ~1999
551825411441460328910 ~2001
551846063110369212710 ~1999
551848571110369714310 ~1999
551852033331111219910 ~2000
551873341331124004710 ~2000
551890259110378051910 ~1999
551893319441514655310 ~2001
551898551110379710310 ~1999
551909591110381918310 ~1999
551909903110381980710 ~1999
551910089441528071310 ~2001
Exponent Prime Factor Digits Year
551918293331150975910 ~2000
551920427441536341710 ~2001
551933351110386670310 ~1999
551938631110387726310 ~1999
551940167441552133710 ~2001
551945257331167154310 ~2000
551962583110392516710 ~1999
5519658312318256490311 ~2003
552004451110400890310 ~1999
552005579110401115910 ~1999
552010703110402140710 ~1999
552017539552017539110 ~2001
552025511110405102310 ~1999
552034793331220875910 ~2000
552040843552040843110 ~2001
552047183110409436710 ~1999
552083419552083419110 ~2001
552092977331255786310 ~2000
552093313331255987910 ~2000
552105299110421059910 ~1999
552107593331264555910 ~2000
552108143110421628710 ~1999
552117617331270570310 ~2000
552130121331278072710 ~2000
552143413331286047910 ~2000
Exponent Prime Factor Digits Year
552197771110439554310 ~1999
552200651110440130310 ~1999
552206051110441210310 ~1999
552212183110442436710 ~1999
552225683110445136710 ~1999
552254981331352988710 ~2000
552271253331362751910 ~2000
552282611110456522310 ~1999
552285011110457002310 ~1999
552287053331372231910 ~2000
552291757331375054310 ~2000
552293723110458744710 ~1999
552322679110464535910 ~1999
552328681331397208710 ~2000
552340391110468078310 ~1999
552368477331421086310 ~2000
552368963110473792710 ~1999
552371411110474282310 ~1999
552379259110475851910 ~1999
552385241331431144710 ~2000
552406259110481251910 ~1999
552408163552408163110 ~2001
55241224133476181804712 ~2005
552416303110483260710 ~1999
552429197331457518310 ~2000
3488
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25-12-14