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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
208719731252318399 ~1989
20872151417443038 ~1988
20873159417463198 ~1988
20873483417469678 ~1988
208744491669955939 ~1990
20874611417492238 ~1988
208747798767407199 ~1991
208749131252494799 ~1989
208750935010022339 ~1991
20875103417502078 ~1988
20875139417502798 ~1988
20875619417512398 ~1988
20875979417519598 ~1988
20876351417527038 ~1988
20876519417530398 ~1988
208769931252619599 ~1989
20877431417548638 ~1988
20877743417554878 ~1988
20877959417559198 ~1988
208782131252692799 ~1989
208784411252706479 ~1989
20878523417570478 ~1988
20878631417572638 ~1988
208791291670330339 ~1990
20879483417589678 ~1988
Exponent Prime Factor Digits Year
208795011252770079 ~1989
208796035011104739 ~1991
20880323417606478 ~1988
20881163417623278 ~1988
20881463417629278 ~1988
20881571417631438 ~1988
208819211252915279 ~1989
208823995011775779 ~1991
20882759417655198 ~1988
20883371417667438 ~1988
20883911417678238 ~1988
20884043417680878 ~1988
20884079417681598 ~1988
208842198771371999 ~1991
208842736265281919 ~1991
20884499417689998 ~1988
20885099417701998 ~1988
20885159417703198 ~1988
208854536265635919 ~1991
208857797101164879 ~1991
20885939417718798 ~1988
20886791417735838 ~1988
20888123417762478 ~1988
208883411253300479 ~1989
20888363417767278 ~1988
Exponent Prime Factor Digits Year
20888603417772078 ~1988
20889299417785998 ~1988
20889839417796798 ~1988
20890283417805678 ~1988
20890871417817438 ~1988
20890979417819598 ~1988
208913332924786639 ~1990
20891603417832078 ~1988
208917771253506639 ~1989
20891879417837598 ~1988
208919331253515999 ~1989
208920375014088899 ~1991
20892251417845038 ~1988
20892359417847198 ~1988
208926171671409379 ~1990
208927211253563279 ~1989
20892743417854878 ~1988
20893199417863998 ~1988
20893919417878398 ~1988
20894099417881998 ~1988
20894183417883678 ~1988
20894771417895438 ~1988
20895071417901438 ~1988
20895443417908878 ~1988
20896091417921838 ~1988
Exponent Prime Factor Digits Year
208966071671728579 ~1990
208968535015244739 ~1991
20897231417944638 ~1988
20897291417945838 ~1988
20897483417949678 ~1988
20898323417966478 ~1988
20898863417977278 ~1988
208999513343992179 ~1990
20900903418018078 ~1988
20902019418040398 ~1988
20902103104510515110 ~1992
209029011254174079 ~1989
20903411418068238 ~1988
209041819615923279 ~1991
209042811254256879 ~1989
20904599418091998 ~1988
20904839418096798 ~1988
20904899418097998 ~1988
20905103418102078 ~1988
209053971254323839 ~1989
20905931418118638 ~1988
209073011254438079 ~1989
20907371418147438 ~1988
209074491672595939 ~1990
20909363418187278 ~1988
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