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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
20511923410238478 ~1988
205122432051224319 ~1990
205122534922940739 ~1991
205123211230739279 ~1989
20512391410247838 ~1988
20512403410248078 ~1988
20513011229745723310 ~1992
20513039410260798 ~1988
20513231410264638 ~1988
20513771410275438 ~1988
20513819410276398 ~1988
20514251410285038 ~1988
205143711641149699 ~1990
205144099846916339 ~1992
205146171230877039 ~1989
20515619410312398 ~1988
20515679410313598 ~1988
205158792051587919 ~1990
20516123410322478 ~1988
205163516565232339 ~1991
205167072051670719 ~1990
20516843410336878 ~1988
20516939410338798 ~1988
205170371231022239 ~1989
205170591641364739 ~1990
Exponent Prime Factor Digits Year
205171992051719919 ~1990
205176771231060639 ~1989
20517719410354398 ~1988
205177992051779919 ~1990
20518259410365198 ~1988
20518391410367838 ~1988
20518523410370478 ~1988
20518669160045618310 ~1992
20519099410381998 ~1988
20519699410393998 ~1988
205197011231182079 ~1989
20519903410398078 ~1988
20519951410399038 ~1988
20519959119015762310 ~1992
20520191410403838 ~1988
205207011231242079 ~1989
205211571231269439 ~1989
20521283410425678 ~1988
205216731231300399 ~1989
205217474925219299 ~1991
20523143410462878 ~1988
20523203410464078 ~1988
20523527184711743110 ~1992
20523623410472478 ~1988
205243331231459999 ~1989
Exponent Prime Factor Digits Year
205245312052453119 ~1990
20524739410494798 ~1988
20525231410504638 ~1988
205256232052562319 ~1990
20525831410516638 ~1988
20525903410518078 ~1988
20526059410521198 ~1988
205261611642092899 ~1990
20526911410538238 ~1988
205270371231622239 ~1989
205272494515994799 ~1991
20527319410546398 ~1988
20527379410547598 ~1988
20527499410549998 ~1988
20527739410554798 ~1988
205278891642231139 ~1990
205284672052846719 ~1990
205284673284554739
205287131231722799 ~1989
205288191642305539 ~1990
20528999410579998 ~1988
20529779410595598 ~1988
205299912052999119 ~1990
20530151410603038 ~1988
205302011231812079 ~1989
Exponent Prime Factor Digits Year
20530871410617438 ~1988
20530931410618638 ~1988
20531183410623678 ~1988
205312971642503779 ~1990
20531519410630398 ~1988
20531783410635678 ~1988
20531999410639998 ~1988
205323131231938799 ~1989
20532731410654638 ~1988
20532839410656798 ~1988
205333211231999279 ~1989
205335111642680899 ~1990
20533979410679598 ~1988
205340991642727939 ~1990
205342071642736579 ~1990
20534471410689438 ~1988
20534603410692078 ~1988
205347131232082799 ~1989
20534807213561992910 ~1992
20534831410696638 ~1988
20534879410697598 ~1988
205349571642796579 ~1990
205353792595671905711 ~1995
20535479410709598 ~1988
20535503410710078 ~1988
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