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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
734029379146805875910 ~2000
734030351146806070310 ~2000
7340363572202109071111 ~2003
734041571587233256910 ~2002
734047817440428690310 ~2001
734074391146814878310 ~2000
734109611146821922310 ~2000
734112803146822560710 ~2000
734134837440480902310 ~2001
734136323146827264710 ~2000
734146013440487607910 ~2001
734174773440504863910 ~2001
734187851146837570310 ~2000
7342112111174737937711 ~2002
734227253440536351910 ~2001
734246699587397359310 ~2002
734262863146852572710 ~2000
734274683146854936710 ~2000
734277431146855486310 ~2000
734283131146856626310 ~2000
734286263146857252710 ~2000
7342879372202863811111 ~2003
734291543146858308710 ~2000
734307263146861452710 ~2000
734309171146861834310 ~2000
Exponent Prime Factor Digits Year
7343339232937335692111 ~2003
734350871146870174310 ~2000
734371691146874338310 ~2000
734400497440640298310 ~2001
734420339146884067910 ~2000
734427119146885423910 ~2000
734441843146888368710 ~2000
7344456673525339201711 ~2004
734458691146891738310 ~2000
734472779146894555910 ~2000
734483663146896732710 ~2000
734502179146900435910 ~2000
734515273440709163910 ~2001
734519543146903908710 ~2000
734536571146907314310 ~2000
734558939146911787910 ~2000
734560583146912116710 ~2000
734565803146913160710 ~2000
734566271146913254310 ~2000
734592017440755210310 ~2001
734606759146921351910 ~2000
73461302972285922053712 ~2007
7346140731028459702311 ~2002
734622719146924543910 ~2000
734629717440777830310 ~2001
Exponent Prime Factor Digits Year
734631641440778984710 ~2001
734639231146927846310 ~2000
734646677440788006310 ~2001
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
Exponent Prime Factor Digits Year
734985961440991576710 ~2001
735005281441003168710 ~2001
735027323147005464710 ~2000
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
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25-11-17