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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
2185201131112078 ~1982
2185297349647538 ~1983
218534343706877 ~1981
2185369655610718 ~1983
2185373524489538 ~1983
2185493305969038 ~1983
2185517524524098 ~1983
21855675245360819 ~1986
218561943712397 ~1981
2185727174858178 ~1982
218587143717437 ~1981
218600343720077 ~1981
2186011349761778 ~1983
2186227524694498 ~1983
2186537524768898 ~1983
218654343730877 ~1981
2186579174926338 ~1982
218660343732077 ~1981
2186689524805378 ~1983
2186809656042718 ~1983
21870491049783539 ~1984
2187061481153438 ~1983
2187193349950898 ~1983
2187511393751998 ~1983
218768343753677 ~1981
Exp. Prime Factor Digits Year
218774343754877 ~1981
2187811218781118 ~1982
2187877131272638 ~1982
2187901656370318 ~1983
21879534901014739 ~1986
2187961350073778 ~1983
2187973131278398 ~1982
218803143760637 ~1981
2188049831458638 ~1984
2188157306341998 ~1983
21882712669690639 ~1985
2188279393890238 ~1983
218833143766637 ~1981
2188411218841118 ~1982
2188531350164978 ~1983
218858343771677 ~1981
2188609481493998 ~1983
2188679700377298 ~1983
2188691919250238 ~1984
218879943775997 ~1981
2188877306442798 ~1983
218891943778397 ~1981
2188919175113538
2189017656705118 ~1983
2189081131344878 ~1982
Exp. Prime Factor Digits Year
2189171175133698 ~1982
2189281131356878 ~1982
2189533481697278 ~1983
218963943792797 ~1981
218969943793997 ~1981
2189699700703698
218972343794477 ~1981
2189743525538338 ~1983
218978343795677 ~1981
218987943797597 ~1981
2189881350380978 ~1983
2190077175206178 ~1982
219013143802637 ~1981
219014343802877 ~1981
21901734862184079 ~1986
2190193131411598 ~1982
2190217350434738 ~1983
219029943805997 ~1981
2190347175227778 ~1982
2190371700918738 ~1983
2190403350464498 ~1983
2190541481919038 ~1983
2190737832480078 ~1984
2190857175268578 ~1982
2190857657257118
Exp. Prime Factor Digits Year
219098343819677 ~1981
2190983525835938
2191171394410798 ~1983
219133143826637 ~1981
2191711394507998 ~1983
219188343837677 ~1981
219205143841037 ~1981
2192053482251678 ~1983
2192059394570638 ~1983
2192089482259598 ~1983
2192131350740978 ~1983
2192143350742898 ~1983
2192257350761138 ~1983
2192261175380898 ~1982
219236343847277 ~1981
219242343848477 ~1981
219247143849437 ~1981
219257943851597 ~1981
2192629526230978 ~1983
2192717657815118 ~1983
2192791219279118 ~1982
2192791350846578
2192837175426978 ~1982
2192917526300098 ~1983
2192941131576478 ~1982
415
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25-12-14