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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
219634853702831529710 ~1999
219637211175709768910 ~1998
2196395034392790079 ~1996
219647993307507190310 ~1998
219648641175718912910 ~1998
2196522594393045199 ~1996
2196530994393061999 ~1996
2196650634393301279 ~1996
2196663714393327439 ~1996
2196815514393631039 ~1996
2196840714393681439 ~1996
219687701131812620710 ~1997
219693629175754903310 ~1998
2196952194393904399 ~1996
2197088994394177999 ~1996
2197116834394233679 ~1996
2197144794394289599 ~1996
219718097131830858310 ~1997
2197212234394424479 ~1996
2197235994394471999 ~1996
2197301634394603279 ~1996
2197342194394684399 ~1996
2197377114394754239 ~1996
2197377234394754479 ~1996
219745321131847192710 ~1997
Exponent Prime Factor Digits Year
2197502634395005279 ~1996
2197586394395172799 ~1996
2197618314395236639 ~1996
2197657794395315599 ~1996
2197682034395364079 ~1996
2197686834395373679 ~1996
219769243351630788910 ~1998
2197702314395404639 ~1996
2197757394395514799 ~1996
2197961634395923279 ~1996
2197994034395988079 ~1996
2197997634395995279 ~1996
219801277131880766310 ~1997
2198033514396067039 ~1996
2198096994396193999 ~1996
2198115834396231679 ~1996
219815657131889394310 ~1997
219816761131890056710 ~1997
219829013659487039110 ~1999
2198391172418230287111 ~2000
219845057131907034310 ~1997
219851699175881359310 ~1998
2198538114397076239 ~1996
219858109483687839910 ~1999
2198598234397196479 ~1996
Exponent Prime Factor Digits Year
219861233307805726310 ~1998
219862897351780635310 ~1998
2198659314397318639 ~1996
219868861131921316710 ~1997
219869297175895437710 ~1998
2198757594397515199 ~1996
219880337131928202310 ~1997
2198822514397645039 ~1996
2198842794397685599 ~1996
219886973307841762310 ~1998
219887237175909789710 ~1998
2198901234397802479 ~1996
219891509175913207310 ~1998
219893857527745256910 ~1999
219896167395813100710 ~1999
2198997834397995679 ~1996
219910363219910363110 ~1998
2199131034398262079 ~1996
219927163219927163110 ~1998
219927343219927343110 ~1998
2199294714398589439 ~1996
2199332994398665999 ~1996
2199359394398718799 ~1996
2199459594398919199 ~1996
2199469314398938639 ~1996
Exponent Prime Factor Digits Year
2199533514399067039 ~1996
2199553314399106639 ~1996
219959027175967221710 ~1998
219973807219973807110 ~1998
219984209703949468910 ~1999
219987961131992776710 ~1997
219991301131994780710 ~1997
2199959994399919999 ~1996
2199970314399940639 ~1996
2199976194399952399 ~1996
2200093194400186399 ~1996
220009357528022456910 ~1999
2200229634400459279 ~1996
2200279194400558399 ~1996
2200289994400579999 ~1996
2200312914400625839 ~1996
2200320234400640479 ~1996
220033013528079231310 ~1999
2200359834400719679 ~1996
2200464714400929439 ~1996
2200470114400940239 ~1996
2200525314401050639 ~1996
2200553514401107039 ~1996
2200560594401121199 ~1996
220060327220060327110 ~1998
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