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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
29982971599659438 ~1989
29984063599681278 ~1989
29984159599683198 ~1989
299843692398749539 ~1991
29984771599695438 ~1989
29984819599696398 ~1989
29985023599700478 ~1989
29985563599711278 ~1989
299858812398870499 ~1991
29986163599723278 ~1989
29986571599731438 ~1989
29986763599735278 ~1989
29986823599736478 ~1989
29986991599739838 ~1989
299884571799307439 ~1991
29988551599771038 ~1989
29988599599771998 ~1989
29988839599776798 ~1989
29988923599778478 ~1989
29989259599785198 ~1989
29989331599786638 ~1989
29989763599795278 ~1989
29989859599797198 ~1989
29990111599802238 ~1989
29990591599811838 ~1989
Exponent Prime Factor Digits Year
29991359599827198 ~1989
29991743599834878 ~1989
29991803599836078 ~1989
299919434798710899 ~1992
29992043599840878 ~1989
29992619599852398 ~1989
299926618997798319 ~1992
29992883599857678 ~1989
299929931799579599 ~1991
299939211799635279 ~1991
299943371799660239 ~1991
29994539599890798 ~1989
29994983599899678 ~1989
29995211599904238 ~1989
29995331599906638 ~1989
29995523599910478 ~1989
299955971799735839 ~1991
29996723599934478 ~1989
29996819599936398 ~1989
29997263599945278 ~1989
29997419599948398 ~1989
29997683599953678 ~1989
29997839599956798 ~1989
29998439599968798 ~1989
299988195399787439 ~1992
Exponent Prime Factor Digits Year
29999699599993998 ~1989
29999999599999998 ~1989
30000023600000478 ~1989
30000611600012238 ~1989
30000683600013678 ~1989
300007697200184579 ~1992
300012971800077839 ~1991
30001571600031438 ~1989
30001739600034798 ~1989
30001871600037438 ~1989
30002123600042478 ~1989
30002891600057838 ~1989
300035931800215599 ~1991
30004343600086878 ~1989
30004451600089038 ~1989
30004571600091438 ~1989
30004739600094798 ~1989
300051971800311839 ~1991
30005243600104878 ~1989
300052571800315439 ~1991
30005291600105838 ~1989
30006299600125998 ~1989
300065897201581379 ~1992
30006919102023524710 ~1992
300069712400557699 ~1991
Exponent Prime Factor Digits Year
30007751600155038 ~1989
300077939602493779 ~1992
30009443600188878 ~1989
30009659600193198 ~1989
30009803600196078 ~1989
30009851600197038 ~1989
300103033001030319 ~1991
30010451600209038 ~1989
300105771800634639 ~1991
30010583600211678 ~1989
300110771800664639 ~1991
30011483600229678 ~1989
30012239600244798 ~1989
30012611600252238 ~1989
30012791600255838 ~1989
30012971600259438 ~1989
30013163600263278 ~1989
30013499600269998 ~1989
30013523600270478 ~1989
30013751600275038 ~1989
30014219600284398 ~1989
30014591600291838 ~1989
30014819600296398 ~1989
30014951600299038 ~1989
300163075402935279 ~1992
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25-04-13