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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
729514601437708760710 ~2001
729536651145907330310 ~2000
729588323145917664710 ~2000
729636623145927324710 ~2000
729644183145928836710 ~2000
729653783145930756710 ~2000
729674279145934855910 ~2000
729686641437811984710 ~2001
729721199145944239910 ~2000
729722579145944515910 ~2000
7297490472918996188111 ~2003
729773963145954792710 ~2000
7297846372773181620711 ~2003
729820991145964198310 ~2000
729846083145969216710 ~2000
729854003145970800710 ~2000
7298565491605684407911 ~2003
729859043145971808710 ~2000
729886681437932008710 ~2001
729887423145977484710 ~2000
729908831145981766310 ~2000
729932831145986566310 ~2000
729958343145991668710 ~2000
729972547729972547110 ~2002
729974411145994882310 ~2000
Exponent Prime Factor Digits Year
729989017437993410310 ~2001
72998992913869808651112 ~2005
729996341437997804710 ~2001
730034699584027759310 ~2002
730043003146008600710 ~2000
730046423146009284710 ~2000
730052783146010556710 ~2000
730056059146011211910 ~2000
730108091146021618310 ~2000
730116683146023336710 ~2000
730125971146025194310 ~2000
730168163146033632710 ~2000
730234811146046962310 ~2000
730252751146050550310 ~2000
730279139146055827910 ~2000
730287539146057507910 ~2000
730306751146061350310 ~2000
730317491146063498310 ~2000
7303892992337245756911 ~2003
730394057584315245710 ~2002
7304007772191202331111 ~2003
730405463146081092710 ~2000
7304287031753028887311 ~2003
730449179146089835910 ~2000
730455797584364637710 ~2002
Exponent Prime Factor Digits Year
730462823146092564710 ~2000
730473581584378864910 ~2002
730484171146096834310 ~2000
730511531146102306310 ~2000
730514111146102822310 ~2000
730531031146106206310 ~2000
730563059146112611910 ~2000
730574891146114978310 ~2000
730592279146118455910 ~2000
730592399584473919310 ~2002
730657199146131439910 ~2000
730664999146132999910 ~2000
730669259146133851910 ~2000
730676951146135390310 ~2000
7306778591315220146311 ~2003
7307442531753786207311 ~2003
730775993438465595910 ~2001
730785481438471288710 ~2001
730790429584632343310 ~2002
730791023146158204710 ~2000
730805479730805479110 ~2002
730807631146161526310 ~2000
730851119146170223910 ~2000
730874351146174870310 ~2000
730891163146178232710 ~2000
Exponent Prime Factor Digits Year
730915957438549574310 ~2001
730922183146184436710 ~2000
730926901438556140710 ~2001
730930163146186032710 ~2000
730955041438573024710 ~2001
730972213438583327910 ~2001
730989967730989967110 ~2002
731001143146200228710 ~2000
731018831146203766310 ~2000
731032721438619632710 ~2001
731037137584829709710 ~2002
731050283146210056710 ~2000
731067899146213579910 ~2000
731071091146214218310 ~2000
731087881438652728710 ~2001
731092223146218444710 ~2000
731127851146225570310 ~2000
731162813438697687910 ~2001
731180699146236139910 ~2000
731206901438724140710 ~2001
731210663146242132710 ~2000
731232011146246402310 ~2000
731253791146250758310 ~2000
731293393438776035910 ~2001
731294171146258834310 ~2000
3618
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25-12-14