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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
2752223715577998
27522316605354419 ~1986
27522711321090099 ~1985
275233155046637 ~1981
2752357165141438 ~1982
2752481165148878 ~1982
275261955052397 ~1981
275267955053597 ~1981
2752697165161838 ~1982
2752723660653538 ~1984
2752787715724638 ~1984
2753039220243138 ~1983
2753111220248898 ~1983
275327955065597 ~1981
275329155065837 ~1981
275336355067277 ~1981
2753407275340718 ~1983
2753417165205038 ~1982
2753567660856098 ~1984
27537195287140499 ~1986
275375955075197 ~1981
275381955076397 ~1981
2753897165233838 ~1982
275390355078077 ~1981
2753957220316578 ~1983
Exp. Prime Factor Digits Year
2753957660949698
2753999220319938 ~1983
2754151440664178 ~1984
27541512423652899
2754197165251838 ~1982
275429955085997 ~1981
2754497220359778 ~1983
2754599661103778 ~1984
2754911716276878 ~1984
2755033440805298 ~1984
2755033661207938
27550431377521519 ~1985
2755387275538718 ~1983
27557471598333279 ~1985
2755759275575918 ~1983
2755877220470178 ~1983
2756107661465698 ~1984
2756111220488898 ~1983
2756153385861438 ~1983
2756309385883278 ~1983
27564371102574819 ~1984
275645955129197 ~1981
275648355129677 ~1981
2756693165401598 ~1982
2756749606484798 ~1984
Exp. Prime Factor Digits Year
2756783716763598 ~1984
2756989606537598 ~1984
2757221165433278 ~1982
2757221220577698
2757367275736718 ~1983
2757457165447438 ~1982
275765955153197 ~1981
2757709606695998 ~1984
2757773165466398 ~1982
275785155157037 ~1981
2758037220642978 ~1983
2758061827418318 ~1984
2758169827450718 ~1984
275831955166397 ~1981
2758373165502398 ~1982
2758517386192398 ~1983
2758589662061378 ~1984
2758631220690498 ~1983
27587871324217779 ~1985
2758871220709698 ~1983
275906355181277 ~1981
2759087220726978 ~1983
2759137662192898 ~1984
2759173662201538 ~1984
275923155184637 ~1981
Exp. Prime Factor Digits Year
2759293607044478 ~1984
2759299275929918 ~1983
2759453165567198 ~1982
275948355189677 ~1981
2759683938292238 ~1984
275972355194477 ~1981
2759761165585678 ~1982
275981955196397 ~1981
2759819496767438
275989155197837 ~1981
275995155199037 ~1981
2760019276001918 ~1983
2760049662411778 ~1984
2760061165603678 ~1982
276014355202877 ~1981
2760269220821538 ~1983
2760287662468898 ~1984
27603615244685919 ~1986
2760487441677938 ~1984
27605771269865439 ~1985
2760881165652878 ~1982
2760889607395598 ~1984
2761093165665598 ~1982
276115155223037 ~1981
2761153165669198 ~1982
486
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26-03-15