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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
735806031471612079 ~1992
735807231471614479 ~1992
735838431471676879 ~1992
735866511471733039 ~1992
735877191471754399 ~1992
73591643485704843910 ~1996
735920031471840079 ~1992
735932271957579838311 ~1998
735942591471885199 ~1992
735949191471898399 ~1992
73595983117753572910 ~1995
735962237359622319 ~1994
735981111471962239 ~1992
735993115887944899 ~1994
735998031471996079 ~1992
736000311472000639 ~1992
736015997360159919 ~1994
736019031472038079 ~1992
736026711472053439 ~1992
736038231472076479 ~1992
736045791472091599 ~1992
736050231472100479 ~1992
736077111472154239 ~1992
736103334416619999 ~1994
736108431472216879 ~1992
Exponent Prime Factor Digits Year
736109511472219039 ~1992
736116414416698479 ~1994
736118695888949539 ~1994
736132075889056579 ~1994
73613341117781345710 ~1995
73613633103059086310 ~1994
736228191472456399 ~1992
736229631472459279 ~1992
736264311472528639 ~1992
736268275890146179 ~1994
736323231472646479 ~1992
736346511472693039 ~1992
736347831472695679 ~1992
736367631472735279 ~1992
736374775890998179 ~1994
73639273338740655910 ~1996
736411574418469439 ~1994
736413014418478079 ~1994
736448991472897999 ~1992
736455711472911439 ~1992
736463511472927039 ~1992
736474191472948399 ~1992
736485831472971679 ~1992
736496774418980639 ~1994
73649717103109603910 ~1995
Exponent Prime Factor Digits Year
736518134419108799 ~1994
736533111473066239 ~1992
73654187191500886310 ~1995
736569831473139679 ~1992
736576311473152639 ~1992
736581591473163199 ~1992
736599591473199199 ~1992
736607991473215999 ~1992
736619631473239279 ~1992
736622995892983939 ~1994
736643991473287999 ~1992
736649237366492319 ~1994
736649991473299999 ~1992
736655511473311039 ~1992
736679031473358079 ~1992
736688631473377279 ~1992
736725831473451679 ~1992
736728917367289119 ~1994
736766391473532799 ~1992
736774791473549599 ~1992
736779111473558239 ~1992
736800591473601199 ~1992
736821534420929199 ~1994
736843975894751779 ~1994
736849911473699839 ~1992
Exponent Prime Factor Digits Year
736852311473704639 ~1992
736882911473765839 ~1992
736887175895097379 ~1994
736889695895117539 ~1994
736910031473820079 ~1992
736933311473866639 ~1992
736945311473890639 ~1992
736953831473907679 ~1992
736965231473930479 ~1992
73698301117917281710 ~1995
736985031473970079 ~1992
73699519530636536910 ~1996
737025134422150799 ~1994
737068214422409279 ~1994
73707827132674088710 ~1995
737106831474213679 ~1992
737122791474245599 ~1992
737127591474255199 ~1992
737154231474308479 ~1992
737179574423077439 ~1994
737200397372003919 ~1994
737224311474448639 ~1992
73724543589796344110 ~1996
737273214423639279 ~1994
737277797372777919 ~1994
2309
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25-07-13