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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.
Exp. Prime Factor Digits Year
7100111568008898 ~1986
7100131710013118 ~1986
7100183142003678 ~1985
7100231142004638 ~1985
7100501568040098 ~1986
7100531142010638 ~1985
71005792272185299 ~1987
7100677426040638 ~1986
71007911136126579 ~1987
7100843142016878 ~1985
71008571136137139 ~1987
7100921426055278 ~1986
7100921568073698
7101097426065838 ~1986
7101431142028638 ~1985
7101719142034398 ~1985
7101761568140898 ~1986
71017691704424579 ~1987
7102031142040638 ~1985
71020572130617119 ~1987
7102103142042078 ~1985
7102223142044478 ~1985
71023012272736339 ~1987
7102679568214338 ~1986
7103171142063438 ~1985
Exp. Prime Factor Digits Year
7103513426210798 ~1986
7103819142076398 ~1985
7103903142078078 ~1985
7104143142082878 ~1985
7104257426255438 ~1986
7104533426271998 ~1986
7104737568378978 ~1986
7104893426293598 ~1986
71048931705174339
7105027710502718 ~1986
7105331142106638 ~1985
7105513426330798 ~1986
7105697426341838 ~1986
7105993426359598 ~1986
7106219142124398 ~1985
7106249568499938 ~1986
7106299710629918 ~1986
7106303142126078 ~1985
7106531568522498 ~1986
7106639568531138 ~1986
7106831142136638 ~1985
7106903142138078 ~1985
7107137426428238 ~1986
7107179142143598 ~1985
7107251142145038 ~1985
Exp. Prime Factor Digits Year
7107371142147438 ~1985
71074612700835199 ~1988
7107511712172602310 ~1991
7107533426451998 ~1986
7107677426460638 ~1986
7108061426483678 ~1986
7108151142163038 ~1985
7108259142165198 ~1985
7108349995168878 ~1987
7108463142169278 ~1985
7108583142171678 ~1985
71085833980806499
7108763142175278 ~1985
7108823142176478 ~1985
71089992985779599 ~1988
7109099142181998 ~1985
7109099568727938
7109101426546078 ~1986
7109107710910718 ~1986
7109119710911918 ~1986
7109171142183438 ~1985
71091972132759119 ~1987
7109423142188478 ~1985
7109471568757698 ~1986
7109561568764898 ~1986
Exp. Prime Factor Digits Year
7109639142192798 ~1985
7109887710988718 ~1986
71101192275238099 ~1987
7110451711045118 ~1986
7110637426638238 ~1986
7110659568852738 ~1986
71106832986486879 ~1988
7110791142215838 ~1985
7110877426652638 ~1986
7110923142218478 ~1985
71110191706644579 ~1987
7111271142225438 ~1985
7111463142229278 ~1985
7111537426692238 ~1986
7111697995637598 ~1987
7111877426712638 ~1986
7112411142248238 ~1985
7112657426759438 ~1986
7112663142253278 ~1985
7112711142254238 ~1985
7112717426763038 ~1986
7112731711273118 ~1986
7112761426765678 ~1986
7112939142258798 ~1985
7113053426783198 ~1986
862
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25-12-14