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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
1687304819337460963910 ~2003
1687312199337462439910 ~2003
1687319831337463966310 ~2003
1687393931337478786310 ~2003
1687407971337481594310 ~2003
168741982311136970831912 ~2007
1687442651337488530310 ~2003
16875680171012540810311 ~2004
16875856371012551382311 ~2004
1687643843337528768710 ~2003
1687684931337536986310 ~2003
1687711211337542242310 ~2003
16877376371012642582311 ~2004
16877537594050609021711 ~2006
1687820399337564079910 ~2003
16878302176751320868111 ~2006
1687842899337568579910 ~2003
1687854071337570814310 ~2003
1687976399337595279910 ~2003
1688024531337604906310 ~2003
1688235179337647035910 ~2003
16882583091350606647311 ~2005
16882722591350617807311 ~2005
1688329691337665938310 ~2003
1688342651337668530310 ~2003
Exponent Prime Factor Digits Year
1688413151337682630310 ~2003
1688447291337689458310 ~2003
1688450303337690060710 ~2003
1688462411337692482310 ~2003
1688472983337694596710 ~2003
16885481091350838487311 ~2005
16885534574052528296911 ~2006
1688566823337713364710 ~2003
1688615843337723168710 ~2003
1688802851337760570310 ~2003
1688836211337767242310 ~2003
1688873519337774703910 ~2003
16888897491351111799311 ~2005
1688967011337793402310 ~2003
1688997179337799435910 ~2003
1689004679337800935910 ~2003
1689100631337820126310 ~2003
16891296534053911167311 ~2006
1689141563337828312710 ~2003
168916237316215958780912 ~2007
16891713295067513987111 ~2006
16892023971351361917711 ~2005
16892037411351362992911 ~2005
16892083371013525002311 ~2004
168921115141892436544912 ~2008
Exponent Prime Factor Digits Year
1689238403337847680710 ~2003
16892795834054270999311 ~2006
1689404543337880908710 ~2003
1689449903337889980710 ~2003
1689523403337904680710 ~2003
168953545932439080812912 ~2008
16895454611013727276711 ~2004
1689620351337924070310 ~2003
1689638183337927636710 ~2003
1689772979337954595910 ~2003
1689773051337954610310 ~2003
1689793559337958711910 ~2003
1689812363337962472710 ~2003
1689888911337977782310 ~2003
1690056839338011367910 ~2003
16902069611014124176711 ~2004
16902118671352169493711 ~2005
16902130991690213099111 ~2005
16902547394056611373711 ~2006
16903148531014188911911 ~2004
1690320563338064112710 ~2003
1690336859338067371910 ~2003
1690380959338076191910 ~2003
16904198394057007613711 ~2006
1690440239338088047910 ~2003
Exponent Prime Factor Digits Year
1690441583338088316710 ~2003
1690449671338089934310 ~2003
1690507979338101595910 ~2003
1690554419338110883910 ~2003
16905719593043029526311 ~2005
16906587193043185694311 ~2005
1690730039338146007910 ~2003
1690792991338158598310 ~2003
1690796351338159270310 ~2003
1690813199338162639910 ~2003
1690852343338170468710 ~2003
1690886159338177231910 ~2003
16909618611352769488911 ~2005
1691013419338202683910 ~2003
16910492991352839439311 ~2005
1691081303338216260710 ~2003
1691091971338218394310 ~2003
1691139143338227828710 ~2003
1691156231338231246310 ~2003
16912403235750217098311 ~2006
1691255099338251019910 ~2003
1691279543338255908710 ~2003
1691437799338287559910 ~2003
1691479943338295988710 ~2003
1691545259338309051910 ~2003
3691
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25-05-04