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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
713056213427833727910 ~2001
713060219142612043910 ~2000
713068313427840987910 ~2001
713101451142620290310 ~2000
713125403142625080710 ~2000
7131311934421413396711 ~2004
713152691142630538310 ~2000
7131598791711583709711 ~2003
7131609471854218462311 ~2003
713165081427899048710 ~2001
713176349998446888710 ~2002
713188451570550760910 ~2002
7131893111283740759911 ~2002
713239937427943962310 ~2001
713250431142650086310 ~2000
713282939142656587910 ~2000
713299799142659959910 ~2000
713309963142661992710 ~2000
713310239142662047910 ~2000
713355431142671086310 ~2000
713362739142672547910 ~2000
713366411142673282310 ~2000
713377589570702071310 ~2002
713431991142686398310 ~2000
713434411713434411110 ~2002
Exponent Prime Factor Digits Year
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
713624651142724930310 ~2000
713636051142727210310 ~2000
7136438992997304375911 ~2003
713670253428202151910 ~2001
713673743142734748710 ~2000
713692799142738559910 ~2000
713696999142739399910 ~2000
713706551570965240910 ~2002
713719931142743986310 ~2000
713740403142748080710 ~2000
713758211142751642310 ~2000
Exponent Prime Factor Digits Year
713760959142752191910 ~2000
713790971571032776910 ~2002
713808731142761746310 ~2000
713818883142763776710 ~2000
7138367093426416203311 ~2004
713847083142769416710 ~2000
713854399713854399110 ~2002
713855591142771118310 ~2000
713887571142777514310 ~2000
713900339142780067910 ~2000
7139047697281828643911 ~2004
713913919713913919110 ~2002
713930303142786060710 ~2000
713944691142788938310 ~2000
713945101428367060710 ~2001
713983499142796699910 ~2000
713985119142797023910 ~2000
71399977312423596050312 ~2005
714007523142801504710 ~2000
714024359142804871910 ~2000
714075077428445046310 ~2001
714078671142815734310 ~2000
7140793511142526961711 ~2002
714091739571273391310 ~2002
714100979142820195910 ~2000
Exponent Prime Factor Digits Year
714124589571299671310 ~2002
714143483142828696710 ~2000
714159779142831955910 ~2000
714168263142833652710 ~2000
714178499142835699910 ~2000
714243119142848623910 ~2000
7142439892714127158311 ~2003
714260471142852094310 ~2000
714262301571409840910 ~2002
714274331142854866310 ~2000
7142796531714271167311 ~2003
714314759142862951910 ~2000
714325151142865030310 ~2000
714343439142868687910 ~2000
714350293428610175910 ~2001
7143617171714468120911 ~2003
714390421428634252710 ~2001
714406073428643643910 ~2001
714412001571529600910 ~2002
7144139932143241979111 ~2003
714414257428648554310 ~2001
714417023142883404710 ~2000
714465359142893071910 ~2000
7144942431857685031911 ~2003
714497291142899458310 ~2000
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25-04-13