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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
735215511470431039 ~1992
735272395882179139 ~1994
735273231470546479 ~1992
73528333176467999310 ~1995
735289431470578879 ~1992
735293535514701475111 ~1999
735297077352970719 ~1994
73530409161766899910 ~1995
73534189176482053710 ~1995
735342831470685679 ~1992
735347391470694799 ~1992
735376431470752879 ~1992
735379911470759839 ~1992
735390231470780479 ~1992
735401934412411599 ~1994
73542583117668132910 ~1995
735447591470895199 ~1992
735456111470912239 ~1992
735464414412786479 ~1994
735465974412795839 ~1994
735526791471053599 ~1992
735527511471055039 ~1992
735536991471073999 ~1992
735538134413228799 ~1994
735541191471082399 ~1992
Exponent Prime Factor Digits Year
735547911471095839 ~1992
73556083294224332110 ~1996
735562431471124879 ~1992
735568911471137839 ~1992
735603231471206479 ~1992
735610015884880099 ~1994
735612231471224479 ~1992
735686991471373999 ~1992
735687231471374479 ~1992
735712191471424399 ~1992
735717414414304479 ~1994
735724311471448639 ~1992
735730791471461599 ~1992
735735231471470479 ~1992
735742191471484399 ~1992
735747711471495439 ~1992
735766214414597279 ~1994
735768231471536479 ~1992
735779717357797119 ~1994
735796191471592399 ~1992
735801134414806799 ~1994
735806031471612079 ~1992
735807231471614479 ~1992
735838431471676879 ~1992
735866511471733039 ~1992
Exponent Prime Factor Digits Year
735877191471754399 ~1992
73591643485704843910 ~1996
735920031471840079 ~1992
735932271957579838311 ~1998
735942591471885199 ~1992
735949191471898399 ~1992
73595983117753572910 ~1995
735962237359622319 ~1994
735998031471996079 ~1992
736000311472000639 ~1992
736015997360159919 ~1994
736019031472038079 ~1992
736026711472053439 ~1992
736038231472076479 ~1992
736045791472091599 ~1992
736050231472100479 ~1992
736077111472154239 ~1992
736103334416619999 ~1994
736108431472216879 ~1992
736116414416698479 ~1994
736118695888949539 ~1994
736132075889056579 ~1994
73613341117781345710 ~1995
73613633103059086310 ~1994
736228191472456399 ~1992
Exponent Prime Factor Digits Year
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 ~1994
736518134419108799 ~1994
736533111473066239 ~1992
73654187191500886310 ~1995
736569831473139679 ~1992
736576311473152639 ~1992
736581591473163199 ~1992
736599591473199199 ~1992
2260
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25-05-04