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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
730317491146063498310 ~2000
730394057584315245710 ~2002
7304007772191202331111 ~2003
730405463146081092710 ~2000
730449179146089835910 ~2000
730455797584364637710 ~2002
730462823146092564710 ~2000
730473581584378864910 ~2002
730484171146096834310 ~2000
730511531146102306310 ~2000
730514111146102822310 ~2000
730531031146106206310 ~2000
730563059146112611910 ~2000
730592279146118455910 ~2000
730657199146131439910 ~2000
730664999146132999910 ~2000
730669259146133851910 ~2000
7306778591315220146311 ~2003
7307442531753786207311 ~2003
730775993438465595910 ~2001
730785481438471288710 ~2001
730790429584632343310 ~2002
730791023146158204710 ~2000
730805479730805479110 ~2002
730807631146161526310 ~2000
Exponent Prime Factor Digits Year
730851119146170223910 ~2000
730874351146174870310 ~2000
730891163146178232710 ~2000
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
731180699146236139910 ~2000
731206901438724140710 ~2001
731210663146242132710 ~2000
731232011146246402310 ~2000
731253791146250758310 ~2000
Exponent Prime Factor Digits Year
731293393438776035910 ~2001
731294171146258834310 ~2000
731296679146259335910 ~2000
7313106371755145528911 ~2003
731345183146269036710 ~2000
7313509811170161569711 ~2002
731365751146273150310 ~2000
731383867731383867110 ~2002
731396999146279399910 ~2000
731398823146279764710 ~2000
731399579146279915910 ~2000
731400203146280040710 ~2000
731405243146281048710 ~2000
731428091146285618310 ~2000
731428331146285666310 ~2000
731436437438861862310 ~2001
731437919146287583910 ~2000
731463671146292734310 ~2000
731471941438883164710 ~2001
731479403146295880710 ~2000
731494019146298803910 ~2000
731498171146299634310 ~2000
731542151585233720910 ~2002
7315491732194647519111 ~2003
731584823146316964710 ~2000
Exponent Prime Factor Digits Year
731614379146322875910 ~2000
731619503146323900710 ~2000
731629991146325998310 ~2000
731630699146326139910 ~2000
731659283146331856710 ~2000
731683919146336783910 ~2000
731692079146338415910 ~2000
731693951585355160910 ~2002
731741099146348219910 ~2000
731748341439049004710 ~2001
7317533591317156046311 ~2003
731767859146353571910 ~2000
731774651146354930310 ~2000
731777771146355554310 ~2000
731782631146356526310 ~2000
731801243146360248710 ~2000
731859923146371984710 ~2000
731867651146373530310 ~2000
731890331146378066310 ~2000
731894519146378903910 ~2000
731940893439164535910 ~2001
731977391585581912910 ~2002
731980919146396183910 ~2000
731991443146398288710 ~2000
732032363146406472710 ~2000
3330
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25-04-13