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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
2747959934306078 ~1984
2748037164882238 ~1982
2748077164884638 ~1982
2748257219860578 ~1983
27483912473551919 ~1985
2748401164904078 ~1982
274873154974637 ~1981
2749157164949438 ~1982
274939154987837 ~1981
2749391494890398
2749499494909838 ~1984
274951154990237 ~1981
2749711274971118 ~1983
2749777164986638 ~1982
274991954998397 ~1981
275012355002477 ~1981
2750353165021198 ~1982
2750431275043118 ~1983
2750479660114978 ~1984
2750677165040638 ~1982
275077155015437 ~1981
27507912640759379 ~1985
2750809605177998 ~1984
2750857165051438 ~1982
27508573246011279
Exp. Prime Factor Digits Year
275093955018797 ~1981
2750999880319698 ~1984
2751041165062478 ~1982
2751667440266738 ~1983
275186355037277 ~1981
2751899495341838 ~1984
275210355042077 ~1981
2752201165132078 ~1982
2752223660533538 ~1984
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
Exp. Prime Factor Digits Year
2753407275340718 ~1983
2753417165205038 ~1982
2753567660856098 ~1984
27537195287140499 ~1986
275375955075197 ~1981
275381955076397 ~1981
2753897165233838 ~1982
275390355078077 ~1981
2753957220316578 ~1983
2753999220319938 ~1983
2754151440664178 ~1983
27541512423652899
2754197165251838 ~1982
275429955085997 ~1981
2754497220359778 ~1983
2755033440805298 ~1983
2755033661207938
27550431377521519 ~1985
2755387275538718 ~1983
27557471598333279 ~1985
2755759275575918 ~1983
2755877220470178 ~1983
2756111220488898 ~1983
2756153385861438 ~1983
2756309385883278 ~1983
Exp. Prime Factor Digits Year
27564371102574819 ~1984
275645955129197 ~1981
275648355129677 ~1981
2756693165401598 ~1982
2756749606484798 ~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
470
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25-05-04