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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
5714063114281278 ~1984
5714077342844638 ~1985
5714123114282478 ~1984
5714171114283438 ~1984
5714417457153378 ~1985
5714699114293998 ~1984
5714959109727212910 ~1989
57150531371612739 ~1986
5715239114304798 ~1984
5715557800177998 ~1986
5715641457251298 ~1985
5716013342960798 ~1985
5716031114320638 ~1984
5716037457282978 ~1985
57160911486183679 ~1986
5716211114324238 ~1984
57163273658449299 ~1987
5716391114327838 ~1984
5716621914659378 ~1986
57166216402615539
57166392286655619 ~1987
57167172286686819 ~1987
5716813343008798 ~1985
5716897343013838 ~1985
5717021457361698 ~1985
Exp. Prime Factor Digits Year
5717249800414878 ~1986
5717303114346078 ~1984
5717339114346798 ~1984
5717353343041198 ~1985
5717863571786318 ~1985
5717947571794718 ~1985
5717951114359038 ~1984
57180711486698479 ~1986
5718131114362638 ~1984
5718407457472578 ~1985
57184991029329839 ~1986
5718551114371038 ~1984
5718569457485538 ~1985
5718641457491298 ~1985
5718763571876318 ~1985
5718901343134078 ~1985
5719079114381598 ~1984
5719163114383260110 ~1989
5719211114384238 ~1984
5719223114384478 ~1984
5719277343156638 ~1985
5719333343159998 ~1985
5719367457549378 ~1985
5719523114390478 ~1984
5719561915129778 ~1986
Exp. Prime Factor Digits Year
5719691114393838 ~1984
5719697457575778 ~1985
5719859114397198 ~1984
5719943114398878 ~1984
57199433203168099
5720063114401278 ~1984
5720171114403438 ~1984
5720471114409438 ~1984
5720579457646338 ~1985
5720783114415678 ~1984
5720893343253598 ~1985
57212412631770879 ~1987
57213712746258099 ~1987
5721539114430798 ~1984
5721557343293438 ~1985
5721659114433198 ~1984
5721689865119376910 ~1991
5721839457747138 ~1985
57218511830992339 ~1987
57219711029954799 ~1986
5722153343329198 ~1985
5722201343332078 ~1985
5722271457781698 ~1985
5722279572227918 ~1985
5722313343338798 ~1985
Exp. Prime Factor Digits Year
57223331373359939 ~1986
5722499114449998 ~1984
5722513343350798 ~1985
5722621343357278 ~1985
5722637343358238 ~1985
5722991114459838 ~1984
5723147457851778 ~1985
57235932632852799 ~1987
5723639114472798 ~1984
57237191373692579 ~1986
57240131717203919 ~1987
5724137343448238 ~1985
5724143114482878 ~1984
5724157343449438 ~1985
5724197457935778 ~1985
5724581457966498 ~1985
5724683114493678 ~1984
5724787572478718 ~1985
5724811572481118 ~1985
5725001458000098 ~1985
5725081343504878 ~1985
5725241458019298 ~1985
5725259114505198 ~1984
5725283114505678 ~1984
5725331458026498 ~1985
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25-09-07