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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.
Exp. Prime Factor Digits Year
6005651120113038 ~1984
6005903120118078 ~1984
6006257360375438 ~1985
6006373360382398 ~1985
6006551120131038 ~1984
6006673446896471310 ~1990
6006941360416478 ~1985
6007051961128178 ~1986
6007223120144478 ~1984
6007303600730318 ~1986
6007471600747118 ~1986
6007643120152878 ~1984
6007721360463278 ~1985
6007739480619138 ~1985
6007873961259698 ~1986
6007877480630178 ~1985
6007891600789118 ~1986
6007931120158638 ~1984
6008081360484878 ~1985
6008143600814318 ~1986
6008257360495438 ~1985
6008363120167278 ~1984
6008399120167998 ~1984
6008491600849118 ~1986
6008867480709378 ~1985
Exp. Prime Factor Digits Year
6008881360532878 ~1985
6008881961420978
6008897360533838 ~1985
6009011120180238 ~1984
6009337360560238 ~1985
6009533360571998 ~1985
6009599120191998 ~1984
6009611120192238 ~1984
6009677480774178 ~1985
6009713360582798 ~1985
6009761360585678 ~1985
6009761480780898
6009791120195838 ~1984
6009797360587838 ~1985
6009851120197038 ~1984
6009853360591198 ~1985
6009901360594078 ~1985
6010379120207598 ~1984
60103934327482979 ~1988
6010451120209038 ~1984
6010603601060318 ~1986
6010643120212878 ~1984
6010919480873538 ~1985
6010967480877378 ~1985
6011111120222238 ~1984
Exp. Prime Factor Digits Year
6011143601114318 ~1986
6011171120223438 ~1984
6011363120227278 ~1984
6011639120232798 ~1984
6012337360740238 ~1985
6012401480992098 ~1985
6012491120249838 ~1984
6012619601261918 ~1986
6012659120253198 ~1984
6012731120254638 ~1984
6013153360789198 ~1985
6013211120264238 ~1984
6013379120267598 ~1984
6013541481083298 ~1985
6013901481112098 ~1985
6013993962238898 ~1986
6014137360848238 ~1985
6014159120283198 ~1984
6014161360849678 ~1985
60142691804280719 ~1987
6014423120288478 ~1984
6014483120289678 ~1984
6015539120310798 ~1984
6015623120312478 ~1984
60157012285966399 ~1987
Exp. Prime Factor Digits Year
6015721360943278 ~1985
6015851120317038 ~1984
6015917360955038 ~1985
6016583120331678 ~1984
6016853361011198 ~1985
6016991481359298 ~1985
6017009481360738 ~1985
6017213361032798 ~1985
6017597481407778 ~1985
6017603120352078 ~1984
6017701361062078 ~1985
6017773361066398 ~1985
6017827601782718 ~1986
6017831347830631910 ~1990
6017897481431778 ~1985
6017899601789918 ~1986
6017987481438978 ~1985
60187811805634319 ~1987
60188692287170239 ~1987
6019001481520098 ~1985
6019103120382078 ~1984
6019193361151598 ~1985
6019199120383998 ~1984
6019267963082738 ~1986
6019757481580578 ~1985
758
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25-05-04