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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
6269521376171278 ~1985
6269663125393278 ~1984
6269717376183038 ~1985
6269831125396638 ~1984
6269891125397838 ~1984
62699471504787299 ~1987
6269951501596098 ~1986
6270041501603298 ~1986
6270083125401678 ~1984
6270113376206798 ~1985
62706291504950979 ~1987
6270631627063118 ~1986
6270833877916638 ~1986
6270961376257678 ~1985
6271043125420878 ~1984
6271063627106318 ~1986
6271091125421838 ~1984
6271259501700738 ~1986
6271403125428078 ~1984
6271897376313838 ~1985
6271943125438878 ~1984
6272017119168323110 ~1989
6272347627234718 ~1986
6272459501796738 ~1986
6272471125449438 ~1984
Exp. Prime Factor Digits Year
6272471501797698
6272531125450638 ~1984
6272579501806338 ~1986
6272681501814498 ~1986
6272723125454478 ~1984
6272731627273118 ~1986
6272879125457598 ~1984
6272977376378638 ~1985
62729993011039539 ~1987
6273023125460478 ~1984
62730374014743699 ~1988
6273161376389678 ~1985
62731613889359839
6273359125467198 ~1984
62734331882029919 ~1987
6273539125470798 ~1984
6273623125472478 ~1984
62737931003806899 ~1986
6274211125484238 ~1984
6274799125495998 ~1984
62748431003974899 ~1986
6274973878496238 ~1986
6274993376499598 ~1985
62756031506144739 ~1987
6275701376542078 ~1985
Exp. Prime Factor Digits Year
6275821376549278 ~1985
6275891125517838 ~1984
6275953376557198 ~1985
6276131125522638 ~1984
6276497502119778 ~1986
6276563125531278 ~1984
6276671502133698 ~1986
6276841376610478 ~1985
6277001502160098 ~1986
62770271129864879 ~1986
62773391506561379 ~1987
6277361376641678 ~1985
6277451125549038 ~1984
6277559125551198 ~1984
6277639627763918 ~1986
6277727502218178 ~1986
62780531004488499 ~1986
6278099125561998 ~1984
6278179627817918 ~1986
6278231125564638 ~1984
6278243125564878 ~1984
62784971883549119 ~1987
62785132009124179 ~1987
6278527627852718 ~1986
6278561376713678 ~1985
Exp. Prime Factor Digits Year
6278681376720878 ~1985
6279197502335778 ~1986
6279257502340578 ~1986
6279263125585278 ~1984
6279551125591038 ~1984
6279803125596078 ~1984
6279941376796478 ~1985
6280091125601838 ~1984
6280147628014718 ~1986
6280441376826478 ~1985
6280511125610238 ~1984
6280777376846638 ~1985
6281161376869678 ~1985
6281239628123918 ~1986
6281339125626798 ~1984
6281459125629198 ~1984
6281519125630398 ~1984
62815792638263199 ~1987
6281591125631838 ~1984
62819092010210899 ~1987
6282071125641438 ~1984
6282377502590178 ~1986
62829611005273779 ~1986
6283019502641538 ~1986
6283157376989438 ~1985
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