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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
3447377275790178
3447419275793538 ~1984
344744368948877 ~1982
34475032758002419 ~1986
3447533206851998 ~1983
34476019032714639 ~1987
34476796619543699 ~1987
3447749275819938 ~1984
344779168955837 ~1982
344797168959437 ~1982
3447971300663071310
3448001206880078 ~1983
3448079275846338 ~1984
344816368963277 ~1982
3448163827559138
3448189758601598 ~1985
34483272000029679 ~1986
3448439275875138 ~1984
34485074758939679 ~1987
3448573206914398 ~1983
3448673206920398 ~1983
3448721275897698 ~1984
3448771344877118 ~1984
344879968975997 ~1982
3448831551812978 ~1984
Exp. Prime Factor Digits Year
344885968977197 ~1982
344887168977437 ~1982
3448877206932638 ~1983
3449191551870578 ~1984
3449239827817378 ~1985
3449297275943778 ~1984
3449353758857678 ~1985
344948368989677 ~1982
3449497206969838 ~1983
3449513827883138 ~1985
34496893863651699 ~1986
344972368994477 ~1982
3449731551956978 ~1984
34497836692579039 ~1987
3449939620989038 ~1984
3449969827992578 ~1985
3450049759010798 ~1985
3450127552020338 ~1984
3450149483020878 ~1984
3450169759037198 ~1985
345017969003597 ~1982
345020369004077 ~1982
3450283828067938 ~1985
3450329276026338 ~1984
3450367345036718 ~1984
Exp. Prime Factor Digits Year
345038369007677 ~1982
345043169008637 ~1982
3450773207046398 ~1983
3450781207046878 ~1983
3450841759185038 ~1985
345089969017997 ~1982
345091169018237 ~1982
345095969019197 ~1982
3450977207058638 ~1983
34510311449433039 ~1985
3451211276096898 ~1984
3451229483172078 ~1984
3451241276099298 ~1984
345137969027597 ~1982
3451379276110338
3451577276126178 ~1984
3452039621367038 ~1984
3452069483289678 ~1984
3452441207146478 ~1983
3452497207149838 ~1983
3452821759620638 ~1985
3452881552460978 ~1984
345290369058077 ~1982
3453017828724098 ~1985
3453019345301918 ~1984
Exp. Prime Factor Digits Year
345307169061437 ~1982
345308369061677 ~1982
3453083828739938
3453097207185838 ~1983
3453139345313918 ~1984
3453181207190878 ~1983
3453283552525298 ~1984
34533412693605999 ~1986
3453451552552178 ~1984
3453479828834978 ~1985
345362369072477 ~1982
34536231726811519
3453707828889698 ~1985
345373169074637 ~1982
3454013828963138 ~1985
34540131934247299
3454021552643378 ~1984
345409169081837 ~1982
3454123345412318 ~1984
34541891658010739 ~1985
345434369086877 ~1982
345440369088077 ~1982
34544892210872979 ~1986
345463169092637 ~1982
3454631898204078
573
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26-09-27