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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
3020971483355378 ~1984
3020993966717778 ~1985
302113160422637 ~1982
3021163725079138 ~1984
30213771274...694271909526 1998
3021419241713538 ~1983
3021467785581438 ~1984
3021553664741678 ~1984
302171960434397 ~1982
302192360438477 ~1982
302198360439677 ~1982
302209160441837 ~1982
3022661181359678 ~1983
3022681181360878 ~1983
3022801483648178 ~1984
3023057181383438 ~1983
3023057423227998
3023177241854178 ~1983
3023257181395438 ~1983
3023257483721138
3023437181406238 ~1983
3023507241880578 ~1983
3023549241883938 ~1983
30237492177099299 ~1985
302375960475197 ~1982
Exp. Prime Factor Digits Year
3023897181433838 ~1983
302408360481677 ~1982
3024101241928098 ~1983
30244491633202479 ~1985
3024457181467438 ~1983
3024493181469598 ~1983
302480360496077 ~1982
302483960496797 ~1982
302486360497277 ~1982
3024947241995778 ~1983
302507960501597 ~1982
302516360503277 ~1982
3025207302520718 ~1983
302527160505437 ~1982
3025277181516638 ~1983
3025327544558878 ~1984
302555960511197 ~1982
3025571544602798 ~1984
302570360514077 ~1982
3025747484119538 ~1984
3025793726190338 ~1984
302587160517437 ~1982
30260216959848319 ~1987
3026057726253698 ~1984
3026197907859118 ~1984
Exp. Prime Factor Digits Year
3026249242099938 ~1983
3026321181579278 ~1983
30264771634297599 ~1985
3026531242122498 ~1983
3026587484253938 ~1984
302684360536877 ~1982
302687960537597 ~1982
3026897181613838 ~1983
3027001181620078 ~1983
3027047242163778 ~1983
302713160542637 ~1982
30271333087675679 ~1986
302726360545277 ~1982
3027389242191138 ~1983
3027391544930398 ~1984
3027473423846238 ~1984
3027509242200738 ~1983
302753960550797 ~1982
30277371695532739 ~1985
3027793484446898 ~1984
302785160557037 ~1982
3027971242237698 ~1983
302827160565437 ~1982
302833160566637 ~1982
3028469423985678 ~1984
Exp. Prime Factor Digits Year
3028489666267598 ~1984
3028577181714638 ~1983
3028651302865118 ~1983
302887160577437 ~1982
3029017181741038 ~1983
3029023484643698 ~1984
3029099969311698 ~1985
3029141181748478 ~1983
3029183787587598 ~1984
3029309242344738 ~1983
3029381242350498 ~1983
30293815816411539
3029713484754098 ~1984
3029771242381698 ~1983
30298631999709599 ~1985
3029981242398498 ~1983
3030017424202398 ~1984
303014360602877 ~1982
303017960603597 ~1982
3030197242415778 ~1983
303043160608637 ~1982
3030473181828398 ~1983
3030553909165918 ~1984
303071960614397 ~1982
3030791242463298 ~1983
507
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25-09-07