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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
652809071130561814310 ~2000
652814699130562939910 ~2000
652831721391699032710 ~2001
652839739652839739110 ~2002
652849979130569995910 ~2000
652859489522287591310 ~2001
65288011322981379977712 ~2005
652882403130576480710 ~2000
652888871130577774310 ~2000
652923431130584686310 ~2000
652926143130585228710 ~2000
652931663130586332710 ~2000
652947569522358055310 ~2001
652960019130592003910 ~2000
652962593391777555910 ~2001
652967123130593424710 ~2000
6529976871567194448911 ~2002
653014559130602911910 ~2000
653032181391819308710 ~2001
6531223671175620260711 ~2002
653142211653142211110 ~2002
653178923130635784710 ~2000
653182583130636516710 ~2000
653208071130641614310 ~2000
653210843130642168710 ~2000
Exponent Prime Factor Digits Year
653236439130647287910 ~2000
653258603130651720710 ~2000
653264291130652858310 ~2000
653268997391961398310 ~2001
65327070710452331312112 ~2005
6532919112743826026311 ~2003
653304419130660883910 ~2000
653315843130663168710 ~2000
653326139130665227910 ~2000
653335439130667087910 ~2000
653341583130668316710 ~2000
653358683130671736710 ~2000
653364683130672936710 ~2000
653379911130675982310 ~2000
653408543130681708710 ~2000
653445323130689064710 ~2000
6534493511045518961711 ~2002
653456603130691320710 ~2000
653458601392075160710 ~2001
653473651653473651110 ~2002
653485583130697116710 ~2000
653487623130697524710 ~2000
653491451130698290310 ~2000
653495651130699130310 ~2000
653516483130703296710 ~2000
Exponent Prime Factor Digits Year
653533757392120254310 ~2001
653539643130707928710 ~2000
653551571130710314310 ~2000
6535751592222155540711 ~2003
653609711130721942310 ~2000
653652539130730507910 ~2000
653662319130732463910 ~2000
653705243130741048710 ~2000
653735903130747180710 ~2000
653767643130753528710 ~2000
653806453392283871910 ~2001
653829857523063885710 ~2001
653837039130767407910 ~2000
653893453392336071910 ~2001
653899751130779950310 ~2000
653906999130781399910 ~2000
653913941392348364710 ~2001
653919641523135712910 ~2001
653924077392354446310 ~2001
653926631130785326310 ~2000
653940239523152191310 ~2001
6539415371046306459311 ~2002
653941583130788316710 ~2000
653944523130788904710 ~2000
653955899130791179910 ~2000
Exponent Prime Factor Digits Year
653966363130793272710 ~2000
654013403130802680710 ~2000
654026063130805212710 ~2000
654038243130807648710 ~2000
654069497392441698310 ~2001
654072329915701260710 ~2002
654095759130819151910 ~2000
654102259654102259110 ~2002
654105059130821011910 ~2000
654162611130832522310 ~2000
654174239130834847910 ~2000
654176339130835267910 ~2000
654208823130841764710 ~2000
654274151130854830310 ~2000
654311167654311167110 ~2002
654341453392604871910 ~2001
6543795671177883220711 ~2002
654393959130878791910 ~2000
654395519130879103910 ~2000
654401483130880296710 ~2000
654416831130883366310 ~2000
654428063130885612710 ~2000
654434531130886906310 ~2000
654436463130887292710 ~2000
654448079130889615910 ~2000
3284
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25-04-13