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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
1898709479379741895910 ~2003
18989390931139363455911 ~2005
1899017591379803518310 ~2003
18990898131139453887911 ~2005
18991084993418395298311 ~2006
1899148151379829630310 ~2003
189919728142162179638312 ~2008
1899308003379861600710 ~2003
1899389603379877920710 ~2003
18993928011519514240911 ~2005
1899449759379889951910 ~2003
1899462791379892558310 ~2003
1899463823379892764710 ~2003
1899544799379908959910 ~2003
18995903271519672261711 ~2005
18995941571139756494311 ~2005
1899640703379928140710 ~2003
1899711119379942223910 ~2003
1899761183379952236710 ~2003
1899879851379975970310 ~2003
1899900731379980146310 ~2003
1899952679379990535910 ~2003
1899989243379997848710 ~2003
1900023239380004647910 ~2003
19001806631900180663111 ~2005
Exponent Prime Factor Digits Year
1900363931380072786310 ~2003
1900366103380073220710 ~2003
1900466819380093363910 ~2003
19005102011140306120711 ~2005
1900556579380111315910 ~2003
1900647383380129476710 ~2003
1900663139380132627910 ~2003
1900695323380139064710 ~2003
190072385913685211784912 ~2007
19007682291520614583311 ~2005
1900813991380162798310 ~2003
1900850879380170175910 ~2003
1900908923380181784710 ~2003
1900972751380194550310 ~2003
1901050379380210075910 ~2003
1901305463380261092710 ~2003
1901372411380274482310 ~2003
19013960831901396083111 ~2005
19014906671901490667111 ~2005
1901529923380305984710 ~2003
1901585459380317091910 ~2003
1901592431380318486310 ~2003
19016619971140997198311 ~2005
1901666219380333243910 ~2003
1901781263380356252710 ~2003
Exponent Prime Factor Digits Year
1901868443380373688710 ~2003
1901868971380373794310 ~2003
1901882291380376458310 ~2003
1901902811380380562310 ~2003
1901907599380381519910 ~2003
19020017113423603079911 ~2006
1902043883380408776710 ~2003
1902073703380414740710 ~2003
1902173939380434787910 ~2003
1902205031380441006310 ~2003
1902278459380455691910 ~2003
1902302459380460491910 ~2003
19023169811141390188711 ~2005
1902342023380468404710 ~2003
19023888671902388867111 ~2005
19023930611141435836711 ~2005
1902404291380480858310 ~2003
19024242593424363666311 ~2006
19024420671521953653711 ~2005
1902496223380499244710 ~2003
1902519719380503943910 ~2003
1902574451380514890310 ~2003
1902578003380515600710 ~2003
1902677411380535482310 ~2003
1902708179380541635910 ~2003
Exponent Prime Factor Digits Year
19028360771141701646311 ~2005
1902926279380585255910 ~2003
19029685971141781158311 ~2005
1902992879380598575910 ~2003
19031414331141884859911 ~2005
19031568591522525487311 ~2005
19031917571141915054311 ~2005
19031995314948318780711 ~2006
19032933111522634648911 ~2005
19033004091522640327311 ~2005
19033093371141985602311 ~2005
1903340819380668163910 ~2003
1903697291380739458310 ~2003
1903702043380740408710 ~2003
1903746263380749252710 ~2003
1903782239380756447910 ~2003
1903793123380758624710 ~2003
1903841183380768236710 ~2003
1903901579380780315910 ~2003
1903911323380782264710 ~2003
19039201071523136085711 ~2005
1904040251380808050310 ~2003
1904047163380809432710 ~2003
19040613731142436823911 ~2005
1904091779380818355910 ~2003
3840
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25-07-20