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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
344972368994477 ~1982
3449731551956978 ~1984
34497836692579039 ~1987
3449939620989038 ~1984
3450049759010798 ~1985
3450127552020338 ~1984
3450149483020878 ~1984
3450169759037198 ~1985
345017969003597 ~1982
345020369004077 ~1982
3450329276026338 ~1984
3450367345036718 ~1984
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
Exp. Prime Factor Digits Year
345137969027597 ~1982
3451379276110338
3451577276126178 ~1984
3452039621367038 ~1984
3452069483289678 ~1984
3452441207146478 ~1983
3452497207149838 ~1983
3452821759620638 ~1985
3452881552460978 ~1984
345290369058077 ~1982
3453017828724098 ~1985
3453019345301918 ~1984
345307169061437 ~1982
345308369061677 ~1982
3453097207185838 ~1983
3453139345313918 ~1984
3453181207190878 ~1983
3453283552525298 ~1984
34533412693605999 ~1986
3453451552552178 ~1984
345362369072477 ~1982
34536231726811519
3453707828889698 ~1985
345373169074637 ~1982
34540131934247299 ~1986
Exp. Prime Factor Digits Year
3454021552643378 ~1984
345409169081837 ~1982
3454123345412318 ~1984
34541891658010739 ~1985
345434369086877 ~1982
345440369088077 ~1982
34544892210872979 ~1986
345463169092637 ~1982
3454631898204078
3454667898213438 ~1985
345467969093597 ~1982
3454793207287598 ~1983
3454861552777778 ~1984
34548732487508579 ~1986
3454877483682798 ~1984
3454937207296238 ~1983
345494369098877 ~1982
34550091036502719 ~1985
345505169101037 ~1982
345533969106797 ~1982
3455479345547918 ~1984
3455519276441538 ~1984
3455527552884338 ~1984
345559169111837 ~1982
345572369114477 ~1982
Exp. Prime Factor Digits Year
3455791622042398 ~1984
34558615183791519 ~1987
3456001760320238 ~1985
34560311658894899 ~1985
3456053207363198 ~1983
3456197276495778 ~1984
3456241207374478 ~1983
3456269483877678 ~1984
3456317207379038 ~1983
3456377276510178 ~1984
3456617829588098 ~1985
34566531036995919 ~1985
3456703345670318 ~1984
345686369137277 ~1982
3457081207424878 ~1983
3457093760560478 ~1985
3457093829702338
3457217276577378 ~1984
345727169145437 ~1982
3457339345733918 ~1984
3457381553180978 ~1984
345740369148077 ~1982
3457633207457998 ~1983
345770369154077 ~1982
3457819622407438 ~1984
569
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26-07-05