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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
586822751117364550310 ~1999
586850903117370180710 ~1999
586853231117370646310 ~1999
586860389469488311310 ~2001
586870799117374159910 ~1999
586895651117379130310 ~1999
586917533352150519910 ~2001
586923443117384688710 ~1999
586925513821695718310 ~2002
586929671117385934310 ~1999
586932299117386459910 ~1999
586986641469589312910 ~2001
586996643117399328710 ~1999
587002441352201464710 ~2001
587030891117406178310 ~1999
587033099117406619910 ~1999
587044511117408902310 ~1999
587062319117412463910 ~1999
587065571117413114310 ~1999
587068523117413704710 ~1999
587080283117416056710 ~1999
5871025131409046031311 ~2002
587113643117422728710 ~1999
587113739117422747910 ~1999
587127061352276236710 ~2001
Exponent Prime Factor Digits Year
587147831117429566310 ~1999
587166803117433360710 ~1999
587181047469744837710 ~2001
587212253822097154310 ~2002
587215319469772255310 ~2001
587219821352331892710 ~2001
587225741352335444710 ~2001
587247299117449459910 ~1999
587267183117453436710 ~1999
587271299117454259910 ~1999
587296019117459203910 ~1999
587300459469840367310 ~2001
587300639117460127910 ~1999
587307491469845992910 ~2001
587324183117464836710 ~1999
587348891469879112910 ~2001
587356571117471314310 ~1999
5873764671057277640711 ~2002
587399797352439878310 ~2001
587408981469927184910 ~2001
587425823117485164710 ~1999
5874258792467188691911 ~2003
587436749822411448710 ~2002
587436911117487382310 ~1999
587446031117489206310 ~1999
Exponent Prime Factor Digits Year
587508983117501796710 ~1999
587522423117504484710 ~1999
587533451470026760910 ~2001
587571623117514324710 ~1999
587578571117515714310 ~1999
587593511117518702310 ~2000
587598131117519626310 ~2000
587622179117524435910 ~2000
587643659117528731910 ~2000
587650337470120269710 ~2001
5876650691410396165711 ~2002
587681603117536320710 ~2000
5877144531410514687311 ~2002
587719813352631887910 ~2001
587738531117547706310 ~2000
587747063117549412710 ~2000
5877496011763248803111 ~2002
587779853352667911910 ~2001
587823623117564724710 ~2000
587837303117567460710 ~2000
587845871117569174310 ~2000
587869501352721700710 ~2001
587884019117576803910 ~2000
587910023117582004710 ~2000
587926331117585266310 ~2000
Exponent Prime Factor Digits Year
587944919117588983910 ~2000
587989991117597998310 ~2000
587998571117599714310 ~2000
588002819117600563910 ~2000
5880060711058410927911 ~2002
5880110291293624263911 ~2002
588012539117602507910 ~2000
588019319117603863910 ~2000
588025231588025231110 ~2001
588038813352823287910 ~2001
588060491117612098310 ~2000
588061207588061207110 ~2001
588062243117612448710 ~2000
588070633352842379910 ~2001
588097259117619451910 ~2000
588100211117620042310 ~2000
588102659117620531910 ~2000
58810846715526063528912 ~2005
588112523117622504710 ~2000
588128399117625679910 ~2000
588146423117629284710 ~2000
588154751117630950310 ~2000
588154811117630962310 ~2000
588179699117635939910 ~2000
588185183117637036710 ~2000
3517
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25-12-14