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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
472711212836267279 ~1992
47272079945441598 ~1991
47272091945441838 ~1991
47272331945446638 ~1991
47272583945451678 ~1991
47274011945480238 ~1991
47275367113460880910 ~1994
47275919945518398 ~1991
47276843945536878 ~1991
47277383945547678 ~1991
47277479945549598 ~1991
47278571945571438 ~1991
472797413782379299 ~1992
47280899945617998 ~1991
472817813782542499 ~1992
47282351945647038 ~1991
472841474728414719 ~1993
47284271945685438 ~1991
47284859945697198 ~1991
47285363945707278 ~1991
472856714728567119 ~1993
47286131945722638 ~1991
47286719945734398 ~1991
472889993783119939 ~1992
47289083945781678 ~1991
Exponent Prime Factor Digits Year
47290079945801598 ~1991
472920532837523199 ~1992
47293871945877438 ~1991
47296631151349219310 ~1994
47297363945947278 ~1991
47297423945948478 ~1991
47298431945968638 ~1991
47299019945980398 ~1991
47299991945999838 ~1991
473000834730008319 ~1993
47300269104060591910 ~1993
47300663946013278 ~1991
47301587350031743910 ~1995
47301671946033438 ~1991
47301719113524125710 ~1994
47303357113528056910 ~1994
47304011946080238 ~1991
47304671946093438 ~1991
47305691946113838 ~1991
47306951946139038 ~1991
473075993784607939 ~1992
47308559946171198 ~1991
47308559113540541710
47309687113543248910 ~1994
47310071946201438 ~1991
Exponent Prime Factor Digits Year
473106918515924399 ~1993
473113798516048239 ~1993
47312579946251598 ~1991
47312651946253038 ~1991
473128493785027939 ~1992
473133532838801199 ~1992
47313503946270078 ~1991
47313503113552407310
47313611946272238 ~1991
47314511946290238 ~1991
473149634731496319 ~1993
473151972838911839 ~1992
47316683946333678 ~1991
47317019946340398 ~1991
47317199946343998 ~1991
47317691946353838 ~1991
47320739946414798 ~1991
473214132839284799 ~1992
47322283312327067910 ~1995
47324131795045400910 ~1996
47325119946502398 ~1991
47326679946533598 ~1991
47327257113585416910 ~1994
473278277572452339 ~1993
47331133104128492710 ~1993
Exponent Prime Factor Digits Year
47332739946654798 ~1991
473331794733317919 ~1993
47335763946715278 ~1991
47335919946718398 ~1991
473365332840191999 ~1992
47337071946741438 ~1991
473373372840240239 ~1992
47338199946763998 ~1991
473389613787116899 ~1992
473395613787164899 ~1992
47339639946792798 ~1991
473396393787171139
47340493113617183310 ~1994
47342063946841278 ~1991
473424473787395779 ~1992
47345351946907038 ~1991
473458878522259679 ~1993
473459417575350579 ~1993
47346059946921198 ~1991
47347103946942078 ~1991
47347991946959838 ~1991
47349983946999678 ~1991
47350463947009278 ~1991
473515673788125379 ~1992
47352863947057278 ~1991
2015
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25-05-04