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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
916328531183265706310 ~2001
9163303692199192885711 ~2004
916330703183266140710 ~2001
916351979183270395910 ~2001
916358257549814954310 ~2002
916365311183273062310 ~2001
916367183183273436710 ~2001
916378139183275627910 ~2001
916381871183276374310 ~2001
9164403792199456909711 ~2004
916519027916519027110 ~2003
9165244612932878275311 ~2004
916525381549915228710 ~2002
916546199183309239910 ~2001
9166206892199889653711 ~2004
916640441733312352910 ~2002
916660583183332116710 ~2001
916674449733339559310 ~2002
916757603183351520710 ~2001
916789031183357806310 ~2001
916794551183358910310 ~2001
916818493550091095910 ~2002
9168245639534975455311 ~2005
916889843183377968710 ~2001
9169119732017206340711 ~2004
Exponent Prime Factor Digits Year
916919677550151806310 ~2002
916957799733566239310 ~2002
916981823183396364710 ~2001
916987979183397595910 ~2001
917003291183400658310 ~2001
917022863183404572710 ~2001
917023643183404728710 ~2001
917147639183429527910 ~2001
917150543183430108710 ~2001
917151971183430394310 ~2001
917167523183433504710 ~2001
917173177550303906310 ~2002
917213093550327855910 ~2002
917222963183444592710 ~2001
917227799183445559910 ~2001
91723600910273043300912 ~2005
917258761550355256710 ~2002
91729390721464677423912 ~2006
917308079733846463310 ~2002
917321831183464366310 ~2001
917327003183465400710 ~2001
917330423183466084710 ~2001
917390003183478000710 ~2001
917401559183480311910 ~2001
917418611183483722310 ~2001
Exponent Prime Factor Digits Year
917473211183494642310 ~2001
917481749733985399310 ~2002
917506631183501326310 ~2001
917525363183505072710 ~2001
917540999183508199910 ~2001
917566831917566831110 ~2003
917574071183514814310 ~2001
917576677550546006310 ~2002
917580071183516014310 ~2001
9175901332752770399111 ~2004
917667659183533531910 ~2001
917672177550603306310 ~2002
917687723183537544710 ~2001
9177097732936671273711 ~2004
917730683183546136710 ~2001
917760131183552026310 ~2001
917788031183557606310 ~2001
917813651183562730310 ~2001
917855639183571127910 ~2001
917873057550723834310 ~2002
917888263917888263110 ~2003
917918173550750903910 ~2002
917921159183584231910 ~2001
917925731183585146310 ~2001
917932703183586540710 ~2001
Exponent Prime Factor Digits Year
91797343911015681268112 ~2005
917980319183596063910 ~2001
917984279183596855910 ~2001
917990039183598007910 ~2001
917999021550799412710 ~2002
918025897550815538310 ~2002
918032711183606542310 ~2001
918046859183609371910 ~2001
918056759183611351910 ~2001
918102253550861351910 ~2002
918129313550877587910 ~2002
918129917550877950310 ~2002
918148811183629762310 ~2001
918220679183644135910 ~2001
9182209071652797632711 ~2003
918225911183645182310 ~2001
918226697550936018310 ~2002
918237247918237247110 ~2003
9182718075876939564911 ~2005
918274211183654842310 ~2001
918280463183656092710 ~2001
918310103183662020710 ~2001
918313919183662783910 ~2001
918351041551010624710 ~2002
918370751183674150310 ~2001
3544
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25-07-20