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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
683338811136667762310 ~2000
683344517546675613710 ~2001
683360039136672007910 ~2000
683364701546691760910 ~2001
683371021410022612710 ~2001
683386031136677206310 ~2000
683423399136684679910 ~2000
683451599136690319910 ~2000
683452223136690444710 ~2000
6834574218064797567911 ~2004
683459603136691920710 ~2000
683461637410076982310 ~2001
683475119546780095310 ~2001
683509283136701856710 ~2000
683514059136702811910 ~2000
683518499136703699910 ~2000
683527217546821773710 ~2001
683541263136708252710 ~2000
683592971136718594310 ~2000
683607347546885877710 ~2001
683628719136725743910 ~2000
683652419136730483910 ~2000
683659703136731940710 ~2000
683677031136735406310 ~2000
683698387683698387110 ~2002
Exponent Prime Factor Digits Year
683704661410222796710 ~2001
683717003136743400710 ~2000
683743283136748656710 ~2000
683772917410263750310 ~2001
683774537547019629710 ~2001
683787899136757579910 ~2000
683792357547033885710 ~2001
683816531136763306310 ~2000
683827649957358708710 ~2002
683828219136765643910 ~2000
683868113410320867910 ~2001
683915851683915851110 ~2002
683939471136787894310 ~2000
683943863136788772710 ~2000
6839732711094357233711 ~2002
683981183136796236710 ~2000
683982779136796555910 ~2000
684028151136805630310 ~2000
684059543136811908710 ~2000
684062801410437680710 ~2001
684063599136812719910 ~2000
6840729892052218967111 ~2003
684078203136815640710 ~2000
684081449547265159310 ~2001
684082519684082519110 ~2002
Exponent Prime Factor Digits Year
684087983136817596710 ~2000
684095603136819120710 ~2000
684117521410470512710 ~2001
684120191136824038310 ~2000
684120209957768292710 ~2002
684151343136830268710 ~2000
684155891136831178310 ~2000
684206051136841210310 ~2000
684218657410531194310 ~2001
684221873410533123910 ~2001
684225011136845002310 ~2000
684241861410545116710 ~2001
684241937547393549710 ~2001
684259991136851998310 ~2000
684269561547415648910 ~2001
684270491136854098310 ~2000
6842737393284513947311 ~2003
6843593231642462375311 ~2003
684373463136874692710 ~2000
684403679136880735910 ~2000
684404401410642640710 ~2001
6844350011505757002311 ~2003
6844544711232018047911 ~2002
684461171136892234310 ~2000
684483731136896746310 ~2000
Exponent Prime Factor Digits Year
684519851136903970310 ~2000
684521291136904258310 ~2000
684524293410714575910 ~2001
684531719136906343910 ~2000
684551963136910392710 ~2000
684588431136917686310 ~2000
684608159136921631910 ~2000
684613739136922747910 ~2000
684643451136928690310 ~2000
684644591136928918310 ~2000
684663719136932743910 ~2000
684668291136933658310 ~2000
684696851136939370310 ~2000
684704477958586267910 ~2002
684707519136941503910 ~2000
684722191684722191110 ~2002
684730313958622438310 ~2002
684736499136947299910 ~2000
684757259136951451910 ~2000
684796823136959364710 ~2000
684800411136960082310 ~2000
684804551136960910310 ~2000
684809663136961932710 ~2000
684821783136964356710 ~2000
684831551136966310310 ~2000
3303
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25-04-13