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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
739812231479624479 ~1992
739815591479631199 ~1992
739815711479631439 ~1992
73987933118380692910 ~1995
739885615919084899 ~1994
73988899251562256710 ~1995
739896831479793679 ~1992
739898031479796079 ~1992
739913991479827999 ~1992
739919991479839999 ~1992
739954791479909599 ~1992
739988391479976799 ~1992
74001583118402532910 ~1995
74001617103602263910 ~1995
740018031480036079 ~1992
74001869236805980910 ~1995
740046111480092239 ~1992
740107431480214879 ~1992
740130591480261199 ~1992
740144631480289279 ~1992
740159391480318799 ~1992
74016121118425793710 ~1995
740167911480335839 ~1992
740171991480343999 ~1992
74017943192446651910 ~1995
Exponent Prime Factor Digits Year
740185791480371599 ~1992
740213031480426079 ~1992
740214111480428239 ~1992
740227791480455599 ~1992
740229111480458239 ~1992
740229534441377199 ~1994
740233431480466879 ~1992
740246631480493279 ~1992
740255934441535599 ~1994
740266431480532879 ~1992
740325831480651679 ~1992
740331295922650339 ~1994
740384391480768799 ~1992
740386191480772399 ~1992
740395191480790399 ~1992
740404375923234979 ~1994
740405631480811279 ~1992
74040767177697840910 ~1995
740436111480872239 ~1992
740495511480991039 ~1992
740504511481009039 ~1992
740512311481024639 ~1992
740555631481111279 ~1992
740570991481141999 ~1992
740594391481188799 ~1992
Exponent Prime Factor Digits Year
740606991481213999 ~1992
740624511481249039 ~1992
74064863311072424710 ~1996
74067667355524801710 ~1996
740697895925583139 ~1994
740748111481496239 ~1992
740779015926232099 ~1994
740783511481567039 ~1992
740785311481570639 ~1992
740785911481571839 ~1992
740788311481576639 ~1992
740789511481579039 ~1992
740795391481590799 ~1992
74081923118531076910 ~1995
740831334444987999 ~1994
740846511481693039 ~1992
740847134445082799 ~1994
74084893118535828910 ~1995
740854911481709839 ~1992
740886591481773199 ~1992
740903631481807279 ~1992
740938431481876879 ~1992
74094887192646706310 ~1995
740951695927613539 ~1994
740958231481916479 ~1992
Exponent Prime Factor Digits Year
740965795927726339 ~1994
740989911481979839 ~1992
741008391482016799 ~1992
741031311482062639 ~1992
741033711482067439 ~1992
741044031482088079 ~1992
741052311482104639 ~1992
741054614446327679 ~1994
741058911482117839 ~1992
741090111482180239 ~1992
741097277410972719 ~1994
741130015929040099 ~1994
741134275929074179 ~1994
741140631482281279 ~1992
741144496522071512111 ~1999
741170031482340079 ~1992
741196315929570499 ~1994
741207711482415439 ~1992
74121533237188905710 ~1995
741237711482475439 ~1992
74127289163080035910 ~1995
741283374447700239 ~1994
741297174447783039 ~1994
741300111482600239 ~1992
741321111482642239 ~1992
2312
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25-07-13