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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
3203461192207678 ~1983
3203461704761438
320363964072797 ~1982
3203657448511998 ~1984
3203729768894978 ~1984
320401164080237 ~1982
3204127320412718 ~1983
320420364084077 ~1982
320425164085037 ~1982
3204283320428318 ~1983
3204373192262398 ~1983
3204373769049538
320441964088397 ~1982
3204463320446318 ~1983
320461164092237 ~1982
3204871320487118 ~1983
3204917448688398 ~1984
3205217448730398 ~1984
32052191282087619 ~1985
3205589256447138 ~1983
3206171577110798 ~1984
3206249256499938 ~1983
3206267833629438 ~1984
3206297192377838 ~1983
3206417256513378 ~1983
Exp. Prime Factor Digits Year
3206633448928638 ~1984
3206653513064498 ~1984
3206887320688718 ~1983
320689164137837 ~1982
32069094810363519 ~1986
3207173192430398 ~1983
320725164145037 ~1982
3207361192441678 ~1983
3207397192443838 ~1983
3207433513189298 ~1984
3207473192448398 ~1983
3207791834025678 ~1984
3207791608197173710
3207847320784718 ~1983
32079911283196419 ~1985
3208021192481278 ~1983
320804364160877 ~1982
320815164163037 ~1982
32081931026621779 ~1985
320837964167597 ~1982
3208399320839918 ~1983
320845164169037 ~1982
3208573192514398 ~1983
3208679256694338 ~1983
32087212310279139 ~1986
Exp. Prime Factor Digits Year
3208787256702978 ~1983
320881164176237 ~1982
3208811577585998
3208873770129538 ~1984
320888364177677 ~1982
3209281513484978 ~1984
3209317192559038 ~1983
3209321192559278 ~1983
320954364190877 ~1982
3209561256764898 ~1983
3209641513542578 ~1984
3209741256779298 ~1983
3209837449377198 ~1984
32098912311121539 ~1986
3209933192595998 ~1983
320993964198797 ~1982
3209953192597198 ~1983
3210073770417538 ~1984
32101214558371839 ~1986
3210199321019918 ~1983
3210287256822978 ~1983
321047964209597 ~1982
3210607321060718 ~1983
3211213192672798 ~1983
321131964226397 ~1982
Exp. Prime Factor Digits Year
321145164229037 ~1982
321158364231677 ~1982
321175164235037 ~1982
321181164236237 ~1982
32119191027814099 ~1985
3212509771002178 ~1984
3212593192755598 ~1983
321260364252077 ~1982
3212861257028898 ~1983
3213559321355918 ~1983
321380364276077 ~1982
3213829771318978 ~1984
321383964276797 ~1982
321385164277037 ~1982
3213893449945038 ~1984
32140871092789599 ~1985
321410364282077 ~1982
321419964283997 ~1982
321422364284477 ~1982
3214571257165698 ~1983
3215021257201698 ~1983
321503964300797 ~1982
3215071578712798 ~1984
321511164302237 ~1982
3215183835947598 ~1984
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24-05-13