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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
2773523887527378 ~1984
277358355471677 ~1981
2773621443779378 ~1984
277367955473597 ~1981
2773921610262638 ~1984
277393155478637 ~1981
2774011443841778 ~1984
2774027665766498 ~1984
277427955485597 ~1981
2774411887811538 ~1984
277448355489677 ~1981
277454355490877 ~1981
2774713443954098 ~1984
2774713610436878
2774719277471918 ~1983
27747313773634179 ~1986
2774777166486638 ~1982
2774777221982178
2774897166493838 ~1982
277532355506477 ~1981
277535955507197 ~1981
2775389222031138 ~1983
2775449388562878 ~1983
27755931498820239 ~1985
2775637444101938 ~1984
Exp. Prime Factor Digits Year
2775713388599838 ~1983
2775761166545678 ~1982
2775841166550478 ~1982
277595955519197 ~1981
2776013388641838 ~1983
2776157166569438 ~1982
27761811998850339 ~1985
2776541222123298 ~1983
277675155535037 ~1981
2776801166608078 ~1982
2776817222145378 ~1983
2776841222147298 ~1983
277703955540797 ~1981
2777111722048878 ~1984
2777143666514338 ~1984
2777231222178498 ~1983
277730355546077 ~1981
2777387222190978 ~1983
27775811333238899 ~1985
2777597388863598 ~1983
27776991166633599 ~1985
2777729222218338 ~1983
2777813166668798 ~1982
277790355558077 ~1981
2777921166675278 ~1982
Exp. Prime Factor Digits Year
2777981222238498 ~1983
2778197166691838 ~1982
277820355564077 ~1981
277826355565277 ~1981
2778353388969438 ~1983
2778421166705278 ~1982
2778421611252638
2778521833556318 ~1984
2778533166711998 ~1982
2778539500137038 ~1984
2778673166720398 ~1982
2778689222295138 ~1983
2778829833648718 ~1984
2778833389036638 ~1983
27789171500615199 ~1985
2779061166743678 ~1982
2779237667016898 ~1984
2779487500307678 ~1984
2779501166770078 ~1982
27796631167458479 ~1985
2779727500350878 ~1984
277981155596237 ~1981
2779873166792398 ~1982
2779873667169538
2780131278013118 ~1983
Exp. Prime Factor Digits Year
2780153166809198 ~1982
278024355604877 ~1981
278033955606797 ~1981
2780443278044318 ~1983
2780467667312098 ~1984
2780641166838478 ~1982
2780693166841598 ~1982
2780719278071918 ~1983
2780719500529438
2780761166845678 ~1982
2780773444923698 ~1984
2780887125139915110 ~1987
27809091724163599 ~1985
278095155619037 ~1981
278105955621197 ~1981
27812711168133839 ~1985
27813011112520419 ~1985
2781637166898238 ~1982
2781677222534178 ~1983
278168355633677 ~1981
278174355634877 ~1981
2781817166909038 ~1982
2781887222550978 ~1983
2781901166914078 ~1982
278195955639197 ~1981
482
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25-10-26