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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
551627753330976651910 ~2000
551665043110333008710 ~1999
5517108371324106008911 ~2002
551716031110343206310 ~1999
551724683110344936710 ~1999
551742307993136152710 ~2002
551751157331050694310 ~2000
551754299110350859910 ~1999
551764523110352904710 ~1999
551767739110353547910 ~1999
551781623110356324710 ~1999
551825411441460328910 ~2001
551846063110369212710 ~1999
551852033331111219910 ~2000
551873341331124004710 ~2000
551893319441514655310 ~2001
551898551110379710310 ~1999
551909591110381918310 ~1999
551909903110381980710 ~1999
551910089441528071310 ~2001
551918293331150975910 ~2000
551920427441536341710 ~2001
551933351110386670310 ~1999
551940167441552133710 ~2001
551945257331167154310 ~2000
Exponent Prime Factor Digits Year
551962583110392516710 ~1999
5519658312318256490311 ~2003
552004451110400890310 ~1999
552005579110401115910 ~1999
552010703110402140710 ~1999
552017539552017539110 ~2001
552025511110405102310 ~1999
552034793331220875910 ~2000
552040843552040843110 ~2001
552047183110409436710 ~1999
552083419552083419110 ~2001
552093313331255987910 ~2000
552105299110421059910 ~1999
552108143110421628710 ~1999
552130121331278072710 ~2000
552143413331286047910 ~2000
552197771110439554310 ~1999
552200651110440130310 ~1999
552206051110441210310 ~1999
552212183110442436710 ~1999
552254981331352988710 ~2000
552271253331362751910 ~2000
552282611110456522310 ~1999
552285011110457002310 ~1999
552287053331372231910 ~2000
Exponent Prime Factor Digits Year
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
552429197331457518310 ~2000
552454163110490832710 ~1999
5524574414861625480911 ~2003
552477899110495579910 ~1999
552478613773470058310 ~2001
552485471110497094310 ~1999
552487763110497552710 ~1999
552498931883998289710 ~2001
552516059442012847310 ~2001
5525604735194068446311 ~2003
552570971110514194310 ~1999
552598979110519795910 ~1999
Exponent Prime Factor Digits Year
552612419110522483910 ~1999
552630803110526160710 ~1999
552630899110526179910 ~1999
552645179110529035910 ~1999
552648263110529652710 ~1999
552659719552659719110 ~2001
552662941331597764710 ~2000
552670103110534020710 ~1999
552681539442145231310 ~2001
552683051110536610310 ~1999
552693191110538638310 ~1999
552700123552700123110 ~2001
552701729773782420710 ~2001
552719941331631964710 ~2000
552729851110545970310 ~1999
552780323110556064710 ~1999
552799979110559995910 ~1999
552821561331692936710 ~2000
552832739110566547910 ~1999
552845551995121991910 ~2002
552845759110569151910 ~1999
552853211110570642310 ~1999
552854411110570882310 ~1999
552863183110572636710 ~1999
552898331110579666310 ~1999
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25-04-13