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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
59907111557584879
5990819119816398 ~1984
59908195391737119
5991263119825278 ~1984
5991311119826238 ~1984
59913111078435999
5991343599134318 ~1986
5991397359483838 ~1985
5991659479332738 ~1985
5991677359500638 ~1985
59916771438002499
5991731119834638 ~1984
5991823599182318 ~1986
5991883958701298 ~1986
5991901359514078 ~1985
5991977359518638 ~1985
5992073359524398 ~1985
5992153359529198 ~1985
5992271119845438 ~1984
59922893715219199 ~1988
5992319119846398 ~1984
5992403119848078 ~1984
5992691119853838 ~1984
5993107599310718 ~1986
5993237359594238 ~1985
Exp. Prime Factor Digits Year
5993249479459938 ~1985
5993411119868238 ~1984
5993423119868478 ~1984
59935911917949139 ~1987
59936211798086319 ~1987
5993693359621598 ~1985
5993837359630238 ~1985
5994143119882878 ~1984
5994181359650878 ~1985
5994607599460718 ~1986
5994853359691198 ~1985
59951631438839139 ~1987
5995181359710878 ~1985
5995397479631778 ~1985
5995523119910478 ~1984
5995631119912638 ~1984
59956991438967779 ~1987
5995817359749038 ~1985
59963233837646739 ~1988
5996339119926798 ~1984
5996519119930398 ~1984
5996603119932078 ~1984
5996633839528638 ~1986
5996759119935198 ~1984
5997119119942398 ~1984
Exp. Prime Factor Digits Year
5997301359838078 ~1985
59973611799208319 ~1987
5997419119948398 ~1984
59978471079612479 ~1986
5997967599796718 ~1986
5998081959692978 ~1986
5998103119962078 ~1984
5998691119973838 ~1984
59986911079764399
59987211799616319 ~1987
5998799119975998 ~1984
5998843599884318 ~1986
59988715398983919 ~1988
5999303119986078 ~1984
59994713359703779 ~1987
5999627479970178 ~1985
5999681479974498 ~1985
5999767599976718 ~1986
5999881359992878 ~1985
6000011480000898 ~1985
6000047480003778 ~1985
6000053360003198 ~1985
6000073360004398 ~1985
6000119120002398 ~1984
6000191120003838 ~1984
Exp. Prime Factor Digits Year
6000479120009598 ~1984
6000809480064738 ~1985
6000823600082318 ~1986
6000899120017998 ~1984
6001033360061998 ~1985
6001043120020878 ~1984
6001339600133918 ~1986
6001517480121378 ~1985
6001679120033598 ~1984
6001763120035278 ~1984
6001921360115278 ~1985
6001939600193918 ~1986
6001939169254679910
60024296242526179 ~1988
6002617360157038 ~1985
60027413361534979 ~1987
6002861480228898 ~1985
60029512881416499 ~1987
6003001360180078 ~1985
6003113360186798 ~1985
6003443120068878 ~1984
6003659480292738 ~1985
6003719120074398 ~1984
6003821360229278 ~1985
60039011801170319 ~1987
775
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25-11-02