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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
67479591214632639
6748151134963038 ~1984
67482671079722739 ~1987
6748409944777278 ~1986
6748409518277811310
6748799134975998 ~1984
6749279134985598 ~1984
6749593404975598 ~1985
6749819134996398 ~1984
6749843134996878 ~1984
6750059135001198 ~1984
6750413405024798 ~1985
6750607675060718 ~1986
6750851135017038 ~1984
6751181405070878 ~1985
6751271135025438 ~1984
6751883135037678 ~1984
6751931135038638 ~1984
6751933405115998 ~1985
6751991135039838 ~1984
6751993405119598 ~1985
6752231540178498 ~1986
6752287320058403910 ~1990
67522931080366899 ~1987
6752623675262318 ~1986
Exp. Prime Factor Digits Year
6752831135056638 ~1984
6752891135057838 ~1984
6752957540236578 ~1986
6753077945430798 ~1986
67533491485736799 ~1987
6753359540268738 ~1986
6753581405214878 ~1985
6753611135072238 ~1984
67537392836570399 ~1988
6753821405229278 ~1985
6753827540306178 ~1986
67539371620944899 ~1987
67540732026221919 ~1987
6754211135084238 ~1984
6754213117523306310 ~1989
6754331540346498 ~1986
67543511215783199 ~1987
6754667540373378 ~1986
6754679135093598 ~1984
6754697405281838 ~1985
6754889540391138 ~1986
6754991135099838 ~1984
6755297540423778 ~1986
6755363135107278 ~1984
6755383675538318 ~1986
Exp. Prime Factor Digits Year
6755417540433378 ~1986
67556576485430739 ~1988
6755713405342798 ~1985
6755761405345678 ~1985
6755977405358638 ~1985
6756017405361038 ~1985
6756023135120478 ~1984
6756053405363198 ~1985
6756161405369678 ~1985
6756401540512098 ~1986
67565511216179199 ~1987
6756671135133438 ~1984
6756691675669118 ~1986
6756851540548098 ~1986
6756881540550498 ~1986
6757139135142798 ~1984
67573391216321039 ~1987
6757409540592738 ~1986
6757453405447198 ~1985
6757463135149278 ~1984
6757481405448878 ~1985
6757637405458238 ~1985
6757637540610978
6757873405472398 ~1985
6757979135159598 ~1984
Exp. Prime Factor Digits Year
6758351135167038 ~1984
67584491616621000911 ~1992
67585792162745299 ~1987
6758723135174478 ~1984
6758831135176638 ~1984
67588392838712399 ~1988
6758957405537438 ~1985
67590194325772179 ~1988
6759043675904318 ~1986
6759089540727138 ~1986
67591132162916179 ~1987
67593434461166399 ~1988
67593713244498099 ~1988
67594811081516979 ~1987
6759491135189838 ~1984
6759569540765538 ~1986
6759821540785698 ~1986
6759899135197998 ~1984
6759971135199438 ~1984
6759983135199678 ~1984
6760007540800578 ~1986
67604832298564239 ~1987
6760499135209998 ~1984
67605412569005599 ~1987
67605418112649219
820
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25-07-08