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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
4560571729691378 ~1985
456059991211997 ~1983
456071991214397 ~1983
456085191217037 ~1983
456107991221597 ~1983
4561177273670638 ~1984
4561211364896898 ~1984
4561217273673038 ~1984
45612171094692099
456137991227597 ~1983
4561421364913698 ~1984
4561507456150718 ~1985
4561589364927138 ~1984
4561621729859378 ~1985
456163191232637 ~1983
4561727364938178 ~1984
4561807456180718 ~1985
45618599944852639 ~1988
456188391237677 ~1983
456194391238877 ~1983
4561979821156238 ~1985
45619793284624899
456200391240077 ~1983
4562021273721278 ~1984
456203991240797 ~1983
Exp. Prime Factor Digits Year
4562087364966978 ~1984
4562099364967938 ~1984
456227991245597 ~1983
4562317273739038 ~1984
456254391250877 ~1983
456263991252797 ~1983
45626531095036739 ~1986
4562693273761598 ~1984
456271191254237 ~1983
4562731456273118 ~1985
456296391259277 ~1983
4563103730096498 ~1985
456326391265277 ~1983
456332391266477 ~1983
456355191271037 ~1983
4563577730172338 ~1985
4563619456361918 ~1985
4563641273818478 ~1984
456365991273197 ~1983
45639311825572419 ~1986
4564319365145538 ~1984
4564457365156578 ~1984
4564459456445918 ~1985
4564477730316338 ~1985
4564537730325938 ~1985
Exp. Prime Factor Digits Year
4564873153379732910 ~1988
456500391300077 ~1983
456539991307997 ~1983
4565413273924798 ~1984
456547191309437 ~1983
4565551821799198 ~1985
4565761273945678 ~1984
456583191316637 ~1983
4565863456586318 ~1985
4566007456600718 ~1985
456607191321437 ~1983
4566113273966798 ~1984
4566151730584178 ~1985
4566257273975438 ~1984
4566377365310178 ~1984
45664314383773779 ~1987
456649191329837 ~1983
456662391332477 ~1983
45667397032778079 ~1988
45668531004707679 ~1986
456692391338477 ~1983
4567039822067038 ~1985
456710391342077 ~1983
4567177274030638 ~1984
4567483456748318 ~1985
Exp. Prime Factor Digits Year
4567621274057278 ~1984
4567681730828978 ~1985
456776391355277 ~1983
4567813274068798 ~1984
456791991358397 ~1983
456815991363197 ~1983
456818391363677 ~1983
456824391364877 ~1983
456833991366797 ~1983
4568437274106238 ~1984
4568521274111278 ~1984
4568609365488738 ~1984
45686931461981779 ~1986
45687133289473379 ~1987
4568821274129278 ~1984
4568957365516578 ~1984
456902391380477 ~1983
4569043456904318 ~1985
4569337712816572110 ~1990
456941991388397 ~1983
45695531005301679 ~1986
45695691096696579 ~1986
4569577274174638 ~1984
4569659822538638 ~1985
456968391393677 ~1983
668
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26-03-15