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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
303988131823928799 ~1991
30399023607980478 ~1989
304014531824087199 ~1991
30401471608029438 ~1989
30401639608032798 ~1989
30402143608042878 ~1989
30402191608043838 ~1989
304021931824131599 ~1991
304024573154...9438719152e3 2005
30402551608051038 ~1989
304030131824180799 ~1991
30403511608070238 ~1989
30403739608074798 ~1989
30403799608075998 ~1989
30403883608077678 ~1989
30404063608081278 ~1989
30404711608094238 ~1989
30405751492573166310 ~1994
304060012432480099 ~1991
30406163608123278 ~1989
30406331608126638 ~1989
30406679608133598 ~1989
304066799730137299
30406751608135038 ~1989
30407231608144638 ~1989
Exponent Prime Factor Digits Year
30407939608158798 ~1989
30408071608161438 ~1989
304082837297987939 ~1992
304084075473513279 ~1992
304088171824529039 ~1991
30409163608183278 ~1989
30409343608186878 ~1989
30409499608189998 ~1989
30409751608195038 ~1989
30410123608202478 ~1989
30410423608208478 ~1989
304104377298504899 ~1992
30410771608215438 ~1989
30411431608228638 ~1989
304115877298780899 ~1992
30411851608237038 ~1989
304125793041257919 ~1991
30412883608257678 ~1989
30413171608263438 ~1989
30413303608266078 ~1989
30413819608276398 ~1989
30414491608289838 ~1989
30415631608312638 ~1989
30415691608313838 ~1989
304157411824944479 ~1991
Exponent Prime Factor Digits Year
30415811608316238 ~1989
30416651608333038 ~1989
304166992433335939 ~1991
30416819608336398 ~1989
30416999608339998 ~1989
304170611825023679 ~1991
30417503608350078 ~1989
30417823687442799910 ~1994
30418103608362078 ~1989
304181475475266479 ~1992
30418319608366398 ~1989
304186974258617599 ~1991
30418859608377198 ~1989
30419219608384398 ~1989
30419423608388478 ~1989
30419591608391838 ~1989
30420023608400478 ~1989
30420683608413678 ~1989
30420983608419678 ~1989
30421463608429278 ~1989
30421871608437438 ~1989
304222371825334239 ~1991
30422279608445598 ~1989
30422351608447038 ~1989
304232473042324719 ~1991
Exponent Prime Factor Digits Year
30423383608467678 ~1989
304235211825411279 ~1991
304235212433881699
30423839608476798 ~1989
30424379608487598 ~1989
304254115476573999 ~1992
304269971825619839 ~1991
30427031608540638 ~1989
30427223608544478 ~1989
304272237911077999
30427277261674582310 ~1993
304279273042792719 ~1991
304281412434251299 ~1991
30428231608564638 ~1989
30428831608576638 ~1989
304288971825733839 ~1991
30428939608578798 ~1989
30429131608582638 ~1989
30430139608602798 ~1989
30430583608611678 ~1989
30431099608621998 ~1989
30431171608623438 ~1989
30431543608630878 ~1989
30432791608655838 ~1989
30432959608659198 ~1989
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25-03-23