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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
705939734235638399 ~1993
705941031411882079 ~1992
705954711411909439 ~1992
705974334235845999 ~1993
705978111411956239 ~1992
705991311411982639 ~1992
706024915648199299 ~1994
706025031412050079 ~1992
706033814236202879 ~1993
706042911412085839 ~1992
706058031412116079 ~1992
706067991412135999 ~1992
706094991412189999 ~1992
706113711412227439 ~1992
70614161211842483110 ~1995
706151511412303039 ~1992
706169991412339999 ~1992
706180431412360879 ~1992
70622749282490996110 ~1995
706280031412560079 ~1992
706294911412589839 ~1992
706323111412646239 ~1992
70632553381415786310 ~1996
706330915650647299 ~1994
706331631412663279 ~1992
Exponent Prime Factor Digits Year
706338831412677679 ~1992
70634243183649031910 ~1995
706349334238095999 ~1993
706350831412701679 ~1992
706360191412720399 ~1992
706375877063758719 ~1994
706380414238282479 ~1993
706401831412803679 ~1992
706447191412894399 ~1992
706482231412964479 ~1992
706494711412989439 ~1992
706513911413027839 ~1992
706555311413110639 ~1992
706556391413112799 ~1992
706558311413116639 ~1992
706566231413132479 ~1992
706587715652701699 ~1994
706600911413201839 ~1992
706604511413209039 ~1992
706608711413217439 ~1992
706610991413221999 ~1992
706627431413254879 ~1992
70664543734911247310 ~1996
706656134239936799 ~1993
706704591413409199 ~1992
Exponent Prime Factor Digits Year
706732791413465599 ~1992
706735911413471839 ~1992
706757511413515039 ~1992
70675751183756952710
70676017113081627310 ~1995
706770231413540479 ~1992
706829391413658799 ~1992
706847031413694079 ~1992
706857775654862179 ~1994
706861911413723839 ~1992
706862991413725999 ~1992
706868391413736799 ~1992
706895391413790799 ~1992
706902831413805679 ~1992
706914774241488639 ~1993
706917591413835199 ~1992
706923374241540239 ~1993
706935831413871679 ~1992
706940511413881039 ~1992
70694119169665885710 ~1995
706955631413911279 ~1992
706959591413919199 ~1992
706960191413920399 ~1992
706973511413947039 ~1992
706983677069836719 ~1994
Exponent Prime Factor Digits Year
706990431413980879 ~1992
706995711413991439 ~1992
707024414242146479 ~1993
707049374242296239 ~1993
707070231414140479 ~1992
707082711414165439 ~1992
707093631414187279 ~1992
707100111414200239 ~1992
707146911414293839 ~1992
707162237071622319 ~1994
707200311414400639 ~1992
707203614243221679 ~1993
707251214243507279 ~1993
707254075658032579 ~1994
707259711414519439 ~1992
707263191414526399 ~1992
70726651127307971910 ~1995
707303275658426179 ~1994
707326431414652879 ~1992
70733251127319851910 ~1995
707357391414714799 ~1992
707359574244157439 ~1993
707365795658926339 ~1994
707380997073809919 ~1994
707384391414768799 ~1992
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25-07-13