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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
25709303514186078 ~1989
257095874627725679 ~1991
25709891514197838 ~1989
257101012056808099 ~1990
25710263514205278 ~1989
25710491514209838 ~1989
25710719514214398 ~1989
25711271514225438 ~1989
25711391514227838 ~1989
25712363514247278 ~1989
25713071514261438 ~1989
25713599514271998 ~1989
25713959514279198 ~1989
25714439514288798 ~1989
257144392057155139
25714823514296478 ~1989
257148531542891199 ~1990
25715243514304878 ~1989
257152931542917599 ~1990
25715639514312798 ~1989
257160172057281379 ~1990
25716023514320478 ~1989
25716539514330798 ~1989
257168714114699379 ~1991
257169173600368399 ~1991
Exponent Prime Factor Digits Year
257172615657797439 ~1991
25717871514357438 ~1989
25717943514358878 ~1989
25718279514365598 ~1989
257183832571838319 ~1991
257186576172477699 ~1991
257190171543141039 ~1990
257190411543142479 ~1990
257191373600679199 ~1991
257194312057554499 ~1990
25719611169749432710 ~1993
25719959514399198 ~1989
25720511514410238 ~1989
25720631514412638 ~1989
25721939514438798 ~1989
25721963514439278 ~1989
25722743514454878 ~1989
25722863514457278 ~1989
25723559514471198 ~1989
25723679514473598 ~1989
25723811514476238 ~1989
25724123514482478 ~1989
25724183514483678 ~1989
25724399514487998 ~1989
25724411514488238 ~1989
Exponent Prime Factor Digits Year
25724483514489678 ~1989
257248914630480399 ~1991
25725083514501678 ~1989
25726511514530238 ~1989
25726583514531678 ~1989
25726691514533838 ~1989
257268731543612399 ~1990
25727291514545838 ~1989
257272972058183779 ~1990
25727711514554238 ~1989
25727771514555438 ~1989
25728119514562398 ~1989
257289912572899119 ~1991
25730483514609678 ~1989
25731119514622398 ~1989
25731911514638238 ~1989
25733003514660078 ~1989
25733171514663438 ~1989
25733783514675678 ~1989
25734323514686478 ~1989
257349714632294799 ~1991
25734983514699678 ~1989
257351811544110879 ~1990
25735211514704238 ~1989
25735511514710238 ~1989
Exponent Prime Factor Digits Year
257356571544139439 ~1990
257359011544154079 ~1990
25736411514728238 ~1989
25736831514736638 ~1989
25736939514738798 ~1989
25736999514739998 ~1989
25737359514747198 ~1989
257383934118142899 ~1991
25738451514769038 ~1989
25738763514775278 ~1989
257398674633176079 ~1991
25739999514799998 ~1989
25740131514802638 ~1989
25740503514810078 ~1989
257412293603772079 ~1991
25741379514827598 ~1989
257417331544503999 ~1990
25741871514837438 ~1989
257419811544518879 ~1990
257422731544536399 ~1990
25742903514858078 ~1989
25743479514869598 ~1989
25743563514871278 ~1989
257436072574360719 ~1991
257437371544624239 ~1990
1596
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25-04-13