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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
3374827539972338
337487967497597 ~1982
33749232429944579 ~1986
3374957472493998 ~1984
337496367499277 ~1982
3374983337498318 ~1984
337508367501677 ~1982
3375439607579038 ~1984
33755091012652719 ~1985
337553967510797 ~1982
3375569810136578 ~1985
337571967514397 ~1982
3375719270057538
3375767270061378 ~1983
3375833202549998 ~1983
337595967519197 ~1982
3376067270085378 ~1983
3376271270101698 ~1983
33762731350509219 ~1985
337655967531197 ~1982
33765891283103839 ~1985
3376817810436098 ~1985
3376819810436578 ~1985
3376939337693918 ~1984
3376979607856238 ~1984
Exp. Prime Factor Digits Year
33769813782218739 ~1986
33769871148175599 ~1985
3376993540318898 ~1984
3377111270168898 ~1983
3377189270175138 ~1983
337724367544877 ~1982
3377261202635678 ~1983
3377281202636878 ~1983
337730367546077 ~1982
337757967551597 ~1982
337799967559997 ~1982
3377999270239938
3378047270243778 ~1983
337813167562637 ~1982
3378149472940878 ~1984
3378253202695198 ~1983
3378259608086638 ~1984
33782591148608079
3378337540533938 ~1984
3378449810827778 ~1985
3378667337866718 ~1984
337867167573437 ~1982
3378671270293698
3378719270297538 ~1983
337873167574637 ~1982
Exp. Prime Factor Digits Year
3378799337879918 ~1984
337883967576797 ~1982
337892367578477 ~1982
3378929473050078 ~1984
3379087337908718 ~1984
337922367584477 ~1982
33792311959953999 ~1986
3379273540683698 ~1984
3379301202758078 ~1983
3379477202768638 ~1983
337955967591197 ~1982
337961967592397 ~1982
337975167595037 ~1982
3379801540768178 ~1984
3380017202801038 ~1983
33801411081645139 ~1985
3380317811276098 ~1985
3380473202828398 ~1983
3380551338055118 ~1984
3380771270461698 ~1983
3380837270466978 ~1983
3381193202871598 ~1983
3381281270502498 ~1983
33812811014384319
3381401270512098 ~1983
Exp. Prime Factor Digits Year
3381479270518338 ~1983
3381613541058098 ~1984
3381787338178718 ~1984
338192367638477 ~1982
33821091623412339 ~1985
3382243338224318 ~1984
3382387338238718 ~1984
338245167649037 ~1982
3382571270605698 ~1983
3382649270611938 ~1983
33826577035926579 ~1987
3382867541258738 ~1984
3382993541278898 ~1984
3383161541305778 ~1984
3383173202990398 ~1983
338329167665837 ~1982
3383321202999278 ~1983
3383441270675298 ~1983
3383453203007198 ~1983
3383753203025198 ~1983
3383773541403698 ~1984
338381967676397 ~1982
33838198730253039
33838932165691539 ~1986
338390367678077 ~1982
535
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25-05-04