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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
5312159106243198 ~1983
5312171106243438 ~1983
5312171424973698
5312207424976578 ~1985
53122071274929699
5312323849971698 ~1986
5312387424990978 ~1985
53124591274990179 ~1986
53124595206209839
5312467531246718 ~1985
5312479531247918 ~1985
5312519106250398 ~1983
5312579106251598 ~1983
5312617318757038 ~1985
5312641318758478 ~1985
5312651425012098 ~1985
5312897425031778 ~1985
5313083106261678 ~1983
5313601318816078 ~1985
5313677425094178 ~1985
5313683106273678 ~1983
5313797318827838 ~1985
5313821425105698 ~1985
5314019106280398 ~1983
5314019425121538
Exp. Prime Factor Digits Year
53140871806789599 ~1987
5314103106282078 ~1983
5314117318847038 ~1985
5314139425131138 ~1985
5314213318852798 ~1985
5314447531444718 ~1985
5314657318879438 ~1985
5314763106295278 ~1983
5314781318886878 ~1985
5315039106300798 ~1983
5315227111619767110 ~1988
53152431275658339 ~1986
5315293318917598 ~1985
5315293850446898
5315701318942078 ~1985
5315759106315198 ~1983
5315797318947838 ~1985
5315819106316398 ~1983
5316041425283298 ~1985
53160712976999779 ~1987
5316163850586098 ~1986
5316301318978078 ~1985
53164012977184579 ~1987
5316659425332738 ~1985
5316881425350498 ~1985
Exp. Prime Factor Digits Year
5316901319014078 ~1985
5316959106339198 ~1983
5316959425356738
5317043106340878 ~1983
5317451106349038 ~1983
5317517319051038 ~1985
5317813319068798 ~1985
5317859106357198 ~1983
5318077319084638 ~1985
5318171425453698 ~1985
5318363106367278 ~1983
5318471106369438 ~1983
5318549425483938 ~1985
5318711106374238 ~1983
53188431276522339 ~1986
5318851531885118 ~1985
5318893319133598 ~1985
5318903106378078 ~1983
5318933319135998 ~1985
5319059425524738 ~1985
5319341319160478 ~1985
53196793830168899 ~1987
5319689744756478 ~1986
5319851106397038 ~1983
5319893319193598 ~1985
Exp. Prime Factor Digits Year
5320103106402078 ~1983
5320319106406398 ~1983
5320421425633698 ~1985
5320487425638978 ~1985
5320921319255278 ~1985
5321179532117918 ~1985
53212631277103139 ~1986
5321467532146718 ~1985
53216473086555279 ~1987
5321903106438078 ~1983
5322041319322478 ~1985
5322061319323678 ~1985
5322257425780578 ~1985
5322271532227118 ~1985
5322301319338078 ~1985
5322371106447438 ~1983
5322511532251118 ~1985
5322563106451278 ~1983
5322659106453198 ~1983
5322673319360398 ~1985
5323151425852098 ~1985
5323273319396398 ~1985
5323291532329118 ~1985
5323343106466878 ~1983
53234411597032319 ~1986
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