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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
44578223891564478 ~1991
44578679891573598 ~1991
44579963891599278 ~1991
44580143891602878 ~1991
44581139891622798 ~1991
44582339891646798 ~1991
44582719187247419910 ~1994
445835772675014639 ~1992
44585171891703438 ~1991
44586491891729838 ~1991
44586539891730798 ~1991
44586589133759767110 ~1994
44587027151595891910 ~1994
44587943891758878 ~1991
445886837134189299 ~1993
44589431891788638 ~1991
445900372675402239 ~1992
445907096242699279 ~1993
44591219891824398 ~1991
44591363891827278 ~1991
44591819891836398 ~1991
445930612675583679 ~1992
44594579891891598 ~1991
445948998027081839 ~1993
44596913249742712910 ~1994
Exponent Prime Factor Digits Year
44598083891961678 ~1991
44598419891968398 ~1991
44599031891980638 ~1991
44600063321120453710 ~1995
446007478028134479 ~1993
446008132676048799 ~1992
446013732676082399 ~1992
44601743892034878 ~1991
44601923892038478 ~1991
44602331892046638 ~1991
44604671892093438 ~1991
44605343892106878 ~1991
44605703892114078 ~1991
446065812676394879 ~1992
446067532676405199 ~1992
44608211892164238 ~1991
446082293568658339 ~1992
44608871892177438 ~1991
44609219892184398 ~1991
44611571892231438 ~1991
446120332676721999 ~1992
44612231892244638 ~1991
44612303892246078 ~1991
446127612676765679 ~1992
44613599892271998 ~1991
Exponent Prime Factor Digits Year
446144478030600479 ~1993
44614523892290478 ~1991
44615111892302238 ~1991
44616779892335598 ~1991
44616983892339678 ~1991
44617031892340638 ~1991
44617739892354798 ~1991
44617883892357678 ~1991
446189573569516579 ~1992
446204812677228879 ~1992
44620643892412878 ~1991
446216234462162319 ~1992
44622191892443838 ~1991
44622251892445038 ~1991
44623583892471678 ~1991
446246837139949299 ~1993
44625131892502638 ~1991
446256434462564319 ~1992
44626271892525438 ~1991
44627603892552078 ~1991
446292612677755679 ~1992
44631131892622638 ~1991
44632019892640398 ~1991
446322077141153139 ~1993
44632331892646638 ~1991
Exponent Prime Factor Digits Year
44632739892654798 ~1991
44634143892682878 ~1991
44634563892691278 ~1991
446348717141579379 ~1993
44635271892705438 ~1991
44637011892740238 ~1991
446370372678222239 ~1992
446389012678334079 ~1992
446393513571148099 ~1992
446397172678383039 ~1992
446401736249624239 ~1993
44644169169647842310 ~1994
446443332678659999 ~1992
44644511892890238 ~1991
44646419892928398 ~1991
44646971892939438 ~1991
446470514464705119 ~1992
44647079892941598 ~1991
44649323892986478 ~1991
446494193571953539 ~1992
44650451893009038 ~1991
446510998037197839 ~1993
44652623893052478 ~1991
446529173572233379 ~1992
44653331893066638 ~1991
1981
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25-05-04