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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
262160352432077 ~1981
26216991258415539 ~1984
2621761576787438 ~1984
2621897367065598 ~1983
2622121157327278 ~1982
2622293157337598 ~1982
2622307891584398 ~1984
26224271258764979 ~1985
2622517419602738 ~1983
2622533629407938 ~1984
2622559891670078 ~1984
262261152452237 ~1981
2622821209825698 ~1983
2623073157384398 ~1982
2623091209847298 ~1983
26230911101698239
2623217209857378 ~1983
262322352464477 ~1981
262325952465197 ~1981
262333152466637 ~1981
2623529629646978 ~1984
2623531262353118 ~1983
2624113157446798 ~1982
2624177157450638 ~1982
262429152485837 ~1981
Exp. Prime Factor Digits Year
2624309839778898 ~1984
2624353157461198 ~1982
2624353577357678
2624561209964898 ~1983
262471152494237 ~1981
2624753157485198 ~1982
2624771209981698 ~1983
2624971262497118 ~1983
2625061157503678 ~1982
262507152501437 ~1981
2625137630032898 ~1984
26252412047687999 ~1985
262525152505037 ~1981
262526352505277 ~1981
26254491890323299 ~1985
262550352510077 ~1981
26255231890376579 ~1985
2625641157538478 ~1982
2625643262564318 ~1983
26256911050276419 ~1984
2625829577682398 ~1984
2626073367650238 ~1983
2626087472695678 ~1983
2626181210094498 ~1983
2626277210102178 ~1983
Exp. Prime Factor Digits Year
2626447630347298 ~1984
262649952529997 ~1981
26264995095408079
262651152530237 ~1981
2626571210125698 ~1983
262669152533837 ~1981
2626691210135298
2626879472838238 ~1983
2626901840608338 ~1984
2626903893147038 ~1984
2626933420309298 ~1983
2627047262704718 ~1983
262712352542477 ~1981
2627143262714318 ~1983
2627431420388978 ~1983
2627507683151838 ~1984
262771152554237 ~1981
2627759630662178 ~1984
2627857420457138 ~1983
2627897157673838 ~1982
2628083683301598 ~1984
26284012102720819 ~1985
2628481578265838 ~1984
262853952570797 ~1981
26286171261736179 ~1985
Exp. Prime Factor Digits Year
2628649788594718 ~1984
262877952575597 ~1981
2628823630917538 ~1984
2628911210312898 ~1983
262903152580637 ~1981
2629073157744398 ~1982
2629091683563678 ~1984
262922352584477 ~1981
26293692050907839 ~1985
262949952589997 ~1981
2629547631091298 ~1984
2629591262959118 ~1983
262970352594077 ~1981
2629763631143138 ~1984
262981152596237 ~1981
2629853157791198 ~1982
262994352598877 ~1981
263033952606797 ~1981
263039952607997 ~1981
263047152609437 ~1981
26304776470973439 ~1986
2630707473527278 ~1983
26307431104912079 ~1984
2630879473558238 ~1983
263089152617837 ~1981
467
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25-12-14