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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
734705579146941115910 ~2000
7347090911175534545711 ~2002
734720891146944178310 ~2000
734726579146945315910 ~2000
734728811146945762310 ~2000
734732111146946422310 ~2000
734743259146948651910 ~2000
734753171146950634310 ~2000
734756111146951222310 ~2000
7347752471322595444711 ~2003
734794283146958856710 ~2000
734809403146961880710 ~2000
734825219146965043910 ~2000
7348637932351564137711 ~2003
734889443146977888710 ~2000
734894903146978980710 ~2000
734900533440940319910 ~2001
734904983146980996710 ~2000
7349120419259891716711 ~2005
734929931146985986310 ~2000
734954879146990975910 ~2000
7349579831175932772911 ~2002
734985961440991576710 ~2001
735005281441003168710 ~2001
735027323147005464710 ~2000
Exponent Prime Factor Digits Year
735063313441037987910 ~2001
735071663147014332710 ~2000
735084491147016898310 ~2000
735091153441054691910 ~2001
735134219147026843910 ~2000
7351383772205415131111 ~2003
735140963147028192710 ~2000
735144853441086911910 ~2001
735146039147029207910 ~2000
735149039147029807910 ~2000
735162359147032471910 ~2000
735174119147034823910 ~2000
7351904532205571359111 ~2003
735219659147043931910 ~2000
735238043147047608710 ~2000
735242471147048494310 ~2000
735251243147050248710 ~2000
735275531147055106310 ~2000
7352888895147022223111 ~2004
7352892598970528959911 ~2005
735337181441202308710 ~2001
735340019147068003910 ~2000
735353369588282695310 ~2002
735385151147077030310 ~2000
735393371147078674310 ~2000
Exponent Prime Factor Digits Year
735426221441255732710 ~2001
735450563147090112710 ~2000
7354670171176747227311 ~2002
735469247588375397710 ~2002
735474251147094850310 ~2000
735508703147101740710 ~2000
735519173441311503910 ~2001
735548399147109679910 ~2000
7355501573530640753711 ~2004
735589163147117832710 ~2000
735615971147123194310 ~2000
735625151147125030310 ~2000
735630431147126086310 ~2000
735712811147142562310 ~2000
735715391147143078310 ~2000
735715583147143116710 ~2000
735731519147146303910 ~2000
735737111147147422310 ~2000
735741661441444996710 ~2001
735756179147151235910 ~2000
7357652271912989590311 ~2003
735782977441469786310 ~2001
735789083147157816710 ~2000
7358156691030141936711 ~2002
735840779147168155910 ~2000
Exponent Prime Factor Digits Year
735866951147173390310 ~2000
7358728735298284685711 ~2004
7358845813532245988911 ~2004
735892763147178552710 ~2000
735937283147187456710 ~2000
735938111147187622310 ~2000
735981563147196312710 ~2000
735998843147199768710 ~2000
736022641441613584710 ~2001
736091159147218231910 ~2000
7360940172944376068111 ~2003
736144763147228952710 ~2000
736170419147234083910 ~2000
736173419147234683910 ~2000
736176923147235384710 ~2000
736185733441711439910 ~2001
736194731147238946310 ~2000
736235063147247012710 ~2000
736261583147252316710 ~2000
736275119147255023910 ~2000
736295243147259048710 ~2000
736334411147266882310 ~2000
736352483147270496710 ~2000
7363597871325447616711 ~2003
7363620611178179297711 ~2002
3433
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25-07-08