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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
412748507330198805710 ~2000
4127576518255153039 ~1998
4127676118255352239 ~1998
4127915638255831279 ~1998
4127946532229091126311 ~2002
4127977798255955599 ~1998
412808813247685287910 ~1999
412821833247693099910 ~1999
4128260038256520079 ~1998
4128359038256718079 ~1998
4128547318257094639 ~1998
4128723598257447199 ~1998
4128771838257543679 ~1998
412889357247733614310 ~1999
412896179330316943310 ~2000
4128998638257997279 ~1998
4129033918258067839 ~1998
4129040398258080799 ~1998
412904759330323807310 ~2000
4129306918258613839 ~1998
412967197247780318310 ~1999
4129711031404101750311 ~2001
4129757571569307876711 ~2001
412980781247788468710 ~1999
412985473247791283910 ~1999
Exponent Prime Factor Digits Year
4129884238259768479 ~1998
4129895398259790799 ~1998
412994941247796964710 ~1999
4129986238259972479 ~1998
4130098798260197599 ~1998
4130343838260687679 ~1998
4130413798260827599 ~1998
4130467798260935599 ~1998
4130615891652246356111 ~2001
41306655116853115280912 ~2004
413087681247852608710 ~1999
4131027732230754974311 ~2002
4131046198262092399 ~1998
4131216718262433439 ~1998
4131220438262440879 ~1998
413131111413131111110 ~2000
4131421798262843599 ~1998
4131472798262945599 ~1998
4131518038263036079 ~1998
413197723413197723110 ~2000
4132095238264190479 ~1998
413219693247931815910 ~1999
4132234918264469839 ~1998
4132238038264476079 ~1998
41322530328099320604112 ~2005
Exponent Prime Factor Digits Year
4132489918264979839 ~1998
413269889330615911310 ~2000
4132701718265403439 ~1998
4132797718265595439 ~1998
413297609330638087310 ~2000
413302301247981380710 ~1999
4133199838266399679 ~1998
413322053247993231910 ~1999
413325001247995000710 ~1999
413338669909345071910 ~2001
4133426038266852079 ~1998
413359237248015542310 ~1999
4133606638267213279 ~1998
4133700718267401439 ~1998
413370823413370823110 ~2000
4133750038267500079 ~1998
4133767798267535599 ~1998
413378897578730455910 ~2000
41338473113641696123112 ~2004
4133916238267832479 ~1998
4134038998268077999 ~1998
4134084838268169679 ~1998
413421713248053027910 ~1999
4134275518268551039 ~1998
413434171413434171110 ~2000
Exponent Prime Factor Digits Year
4134636238269272479 ~1998
413465957578852339910 ~2000
4134742612315455861711 ~2002
4134786718269573439 ~1998
4134818398269636799 ~1998
4134865198269730399 ~1998
4135000198270000399 ~1998
413503481248102088710 ~1999
413515387413515387110 ~2000
4135258318270516639 ~1998
413529629330823703310 ~2000
4135318198270636399 ~1998
4135376471406027999911 ~2001
41354502112819895651112 ~2004
413574179330859343310 ~2000
4135953598271907199 ~1998
413618341248171004710 ~1999
4136256131240876839111 ~2001
4136258518272517039 ~1998
4136471038272942079 ~1998
4136550838273101679 ~1998
413670167330936133710 ~2000
4136827798273655599 ~1998
4136869198273738399 ~1998
4136879518273759039 ~1998
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