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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
7125775077410806072911 ~2004
712588091142517618310 ~2000
712589057427553434310 ~2001
712590457427554274310 ~2001
712593671142518734310 ~2000
712632671142526534310 ~2000
712691537570153229710 ~2002
712700531142540106310 ~2000
712707491142541498310 ~2000
712774901427664940710 ~2001
712813019142562603910 ~2000
712827359142565471910 ~2000
712830359570264287310 ~2002
712838783142567756710 ~2000
712843511142568702310 ~2000
712852571142570514310 ~2000
712871363142574272710 ~2000
7128775331568330572711 ~2003
712881899142576379910 ~2000
712910591142582118310 ~2000
712938203142587640710 ~2000
712939511142587902310 ~2000
712942463142588492710 ~2000
712953419570362735310 ~2002
712954283142590856710 ~2000
Exponent Prime Factor Digits Year
712957163142591432710 ~2000
7129657616131505544711 ~2004
712986301427791780710 ~2001
712997617427798570310 ~2001
713039903142607980710 ~2000
713047463142609492710 ~2000
713048711142609742310 ~2000
713056213427833727910 ~2001
713060219142612043910 ~2000
713068313427840987910 ~2001
713101451142620290310 ~2000
713125403142625080710 ~2000
7131311934421413396711 ~2004
713152691142630538310 ~2000
7131598791711583709711 ~2003
713159921427895952710 ~2001
7131609471854218462311 ~2003
713165081427899048710 ~2001
713176349998446888710 ~2002
713188451570550760910 ~2002
7131893111283740759911 ~2002
713239937427943962310 ~2001
713250431142650086310 ~2000
713282939142656587910 ~2000
713299799142659959910 ~2000
Exponent Prime Factor Digits Year
713309963142661992710 ~2000
713310239142662047910 ~2000
713355431142671086310 ~2000
713362739142672547910 ~2000
713366411142673282310 ~2000
713377589570702071310 ~2002
713431991142686398310 ~2000
713434411713434411110 ~2002
713464379142692875910 ~2000
7134675532140402659111 ~2003
713486897570789517710 ~2002
713497979142699595910 ~2000
713514083142702816710 ~2000
7135248071141639691311 ~2002
713543111142708622310 ~2000
713543477570834781710 ~2002
7135452071284381372711 ~2002
713564279142712855910 ~2000
713593271142718654310 ~2000
71360210325689675708112 ~2006
713606483142721296710 ~2000
7136212631712691031311 ~2003
71362387911988881167312 ~2005
713624651142724930310 ~2000
713631181428178708710 ~2001
Exponent Prime Factor Digits Year
713636051142727210310 ~2000
7136438992997304375911 ~2003
713670253428202151910 ~2001
713673743142734748710 ~2000
713692799142738559910 ~2000
713696999142739399910 ~2000
713719931142743986310 ~2000
713740403142748080710 ~2000
713758211142751642310 ~2000
713760959142752191910 ~2000
713790971571032776910 ~2002
713808731142761746310 ~2000
713811251142762250310 ~2000
713818883142763776710 ~2000
713826611142765322310 ~2000
7138367093426416203311 ~2004
713847083142769416710 ~2000
713854399713854399110 ~2002
713855591142771118310 ~2000
713887571142777514310 ~2000
713900339142780067910 ~2000
7139047697281828643911 ~2004
713913919713913919110 ~2002
713930303142786060710 ~2000
713944691142788938310 ~2000
3607
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25-12-14