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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
5302987848477938 ~1986
5302991106059838 ~1984
5303003106060078 ~1984
5303141318188478 ~1985
5303183106063678 ~1984
53032131697028179 ~1986
53033271272798499 ~1986
5303579106071598 ~1984
5303651424292098 ~1985
5303659530365918 ~1985
5303807424304578 ~1985
53038195515971779 ~1988
5303891106077838 ~1984
5303951106079038 ~1984
5304001318240078 ~1985
5304083106081678 ~1984
5304241318254478 ~1985
5304367530436718 ~1985
5304371106087438 ~1984
5304371424349698
5304571848731378 ~1986
5304581424366498 ~1985
5304839424387138 ~1985
5305033318301998 ~1985
53051511379339279 ~1986
Exp. Prime Factor Digits Year
5305451106109038 ~1984
5305481318328878 ~1985
5305697424455778 ~1985
5305747530574718 ~1985
5305799106115998 ~1984
5306531106130638 ~1984
5306627424530178 ~1985
5306783106135678 ~1984
5306963106139278 ~1984
5307073318424398 ~1985
5307083106141678 ~1984
5307509424600738 ~1985
5307563106151278 ~1984
5307719106154398 ~1984
5307781318466878 ~1985
5307803106156078 ~1984
5308333318499998 ~1985
5308379106167598 ~1984
5308441318506478 ~1985
5308451424676098 ~1985
5308577424686178 ~1985
53086791274082979 ~1986
53087891167933599 ~1986
53090532866888639 ~1987
5309123106182478 ~1984
Exp. Prime Factor Digits Year
5309663106193278 ~1984
5309713318582798 ~1985
5309891106197838 ~1984
5309963106199278 ~1984
5310157318609438 ~1985
5310293318617598 ~1985
53103791274490979 ~1986
5310439531043918 ~1985
5310559955900638 ~1986
5310743106214878 ~1984
5310841318650478 ~1985
5310863106217278 ~1984
5310911106218238 ~1984
5310983106219678 ~1984
5311139106222798 ~1984
5311277318676638 ~1985
5311441318686478 ~1985
5311441849830578
5311511106230238 ~1984
5311547424923778 ~1985
53115673080708879 ~1987
5311589424927138 ~1985
5311703106234078 ~1984
5311951531195118 ~1985
5312159106243198 ~1984
Exp. Prime Factor Digits Year
5312171106243438 ~1984
5312171424973698
5312207424976578 ~1985
53122071274929699
5312323849971698 ~1986
5312387424990978 ~1985
53124591274990179 ~1986
53124595206209839
5312467531246718 ~1985
5312479531247918 ~1985
5312519106250398 ~1984
5312579106251598 ~1984
5312617318757038 ~1985
5312641318758478 ~1985
5312651425012098 ~1985
5312897425031778 ~1985
5312999956339838 ~1986
5313083106261678 ~1984
5313601318816078 ~1985
5313677425094178 ~1985
5313683106273678 ~1984
5313797318827838 ~1985
5313821425105698 ~1985
5314019106280398 ~1984
5314019425121538
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25-11-17