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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
620783123124156624710 ~2000
620788139124157627910 ~2000
6208174691489961925711 ~2002
620820731124164146310 ~2000
620824331124164866310 ~2000
620829659124165931910 ~2000
620857931124171586310 ~2000
620876843124175368710 ~2000
620882231124176446310 ~2000
6209099171490183800911 ~2002
620926451496741160910 ~2001
6209287671117671780711 ~2002
6209300692980464331311 ~2003
6209427231614451079911 ~2002
620978063124195612710 ~2000
620985611124197122310 ~2000
6209896392111364772711 ~2003
620999699124199939910 ~2000
621001259124200251910 ~2000
621010319124202063910 ~2000
621016219621016219110 ~2001
621020597496816477710 ~2001
621042479124208495910 ~2000
621049277372629566310 ~2001
621053263621053263110 ~2001
Exponent Prime Factor Digits Year
6210569931863170979111 ~2003
621070379124214075910 ~2000
621078011124215602310 ~2000
621079993372647995910 ~2001
621089477869525267910 ~2002
621090293372654175910 ~2001
621105011124221002310 ~2000
621110159124222031910 ~2000
621116663124223332710 ~2000
621123539124224707910 ~2000
621150311124230062310 ~2000
621155891124231178310 ~2000
621161819124232363910 ~2000
621175319124235063910 ~2000
621193451124238690310 ~2000
621201239124240247910 ~2000
6212292293851621219911 ~2003
621281663124256332710 ~2000
621286819621286819110 ~2001
621310439124262087910 ~2000
621315689497052551310 ~2001
621334859124266971910 ~2000
621392677372835606310 ~2001
621394859124278971910 ~2000
621406649497125319310 ~2001
Exponent Prime Factor Digits Year
621417119124283423910 ~2000
621421813372853087910 ~2001
621497603124299520710 ~2000
621506783124301356710 ~2000
621527303124305460710 ~2000
621536557372921934310 ~2001
621553511124310702310 ~2000
621555899124311179910 ~2000
621564137372938482310 ~2001
621564323124312864710 ~2000
621570017372942010310 ~2001
6215780931491787423311 ~2002
621578261372946956710 ~2001
621586003621586003110 ~2001
6215949233107974615111 ~2003
621596939124319387910 ~2000
621603491124320698310 ~2000
621613403124322680710 ~2000
621622559124324511910 ~2000
621649601372989760710 ~2001
621672731124334546310 ~2000
621680099124336019910 ~2000
621681707497345365710 ~2001
621694511497355608910 ~2001
621729377373037626310 ~2001
Exponent Prime Factor Digits Year
621734759124346951910 ~2000
621752639124350527910 ~2000
621755663124351132710 ~2000
6217702671492248640911 ~2002
621799511124359902310 ~2000
621818303124363660710 ~2000
621837791124367558310 ~2000
621878723124375744710 ~2000
621893939124378787910 ~2000
621919691124383938310 ~2000
621921011124384202310 ~2000
6219407271617045890311 ~2002
6219513111990244195311 ~2003
621960539124392107910 ~2000
621969143124393828710 ~2000
621988343124397668710 ~2000
622001123124400224710 ~2000
622001183124400236710 ~2000
622009259124401851910 ~2000
622009763124401952710 ~2000
622023383124404676710 ~2000
622030163124406032710 ~2000
622030691124406138310 ~2000
622042357373225414310 ~2001
622053251124410650310 ~2000
3649
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26-03-15