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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
800120631600241279 ~1993
800120631296195420711
800137638001376319 ~1994
800143278001432719 ~1994
80015093112021130310 ~1995
800163831600327679 ~1993
800196798001967919 ~1994
800219991600439999 ~1993
800268831600537679 ~1993
800272431600544879 ~1993
800308134801848799 ~1994
800315934801895599 ~1994
800320134801920799 ~1994
800342991600685999 ~1993
80034847272118479910 ~1996
80035199144063358310 ~1995
800354511600709039 ~1993
800360391600720799 ~1993
800386316403090499 ~1994
800388591600777199 ~1993
800398911600797839 ~1993
80039987144071976710 ~1995
800403711600807439 ~1993
800460231600920479 ~1993
800470431600940879 ~1993
Exponent Prime Factor Digits Year
800472831600945679 ~1993
800491911600983839 ~1993
800495031600990079 ~1993
800503431601006879 ~1993
80051117112071563910 ~1995
800544831601089679 ~1993
80056003128089604910 ~1995
800574231601148479 ~1993
800590791601181599 ~1993
800597174803583039 ~1994
800597991601195999 ~1993
800603991601207999 ~1993
800620334803721999 ~1994
800628831601257679 ~1993
800640014803840079 ~1994
800653191601306399 ~1993
800664711601329439 ~1993
800675534804053199 ~1994
800745831601491679 ~1993
800746091281193744111 ~1997
800755311601510639 ~1993
800773911601547839 ~1993
800824791601649599 ~1993
800852511601705039 ~1993
800860496406883939 ~1994
Exponent Prime Factor Digits Year
800866734805200399 ~1994
800889774805338639 ~1994
80090687192217648910 ~1995
800907711601815439 ~1993
800935431601870879 ~1993
800936334805617999 ~1994
80100899144181618310 ~1995
801038174806229039 ~1994
801054711602109439 ~1993
801055791602111599 ~1993
801059511602119039 ~1993
801068991602137999 ~1993
801111831602223679 ~1993
801139311602278639 ~1993
801169214807015279 ~1994
801192111602384239 ~1993
801197774807186639 ~1994
801209511602419039 ~1993
801217911602435839 ~1993
80122153128195444910 ~1995
801224991602449999 ~1993
801249111602498239 ~1993
801262134807572799 ~1994
801315111602630239 ~1993
801316191602632399 ~1993
Exponent Prime Factor Digits Year
801317391602634799 ~1993
801333678013336719 ~1994
801354111602708239 ~1993
80135791336570322310 ~1996
80137327128219723310 ~1995
801392631602785279 ~1993
801397911602795839 ~1993
80139863208363643910 ~1995
801410031602820079 ~1993
801423111602846239 ~1993
801436814808620879 ~1994
801441176411529379 ~1994
801453716411629699 ~1994
801454911602909839 ~1993
801505791603011599 ~1993
801510591603021199 ~1993
801519591603039199 ~1993
801542718015427119 ~1994
801551511603103039 ~1993
801559791603119599 ~1993
801571492116148733711 ~1998
801582711603165439 ~1993
801595911603191839 ~1993
801595916412767299
801632031603264079 ~1993
2306
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25-05-04