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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
5038133302287998 ~1985
5038571100771438 ~1983
5038597302315838 ~1985
5038673302320398 ~1985
5038931100778638 ~1983
5039207403136578 ~1985
5039347806295538 ~1986
5039459100789198 ~1983
5039711100794238 ~1983
50397672015906819 ~1987
5039821302389278 ~1985
5040047403203778 ~1985
5040181302410878 ~1985
5040793302447598 ~1985
5041081302464878 ~1985
5041133705758638 ~1985
5041151907407198 ~1986
5041199100823998 ~1983
5041241403299298 ~1985
5041243504124318 ~1985
50415731512471919 ~1986
50415732016629219
5041633302497998 ~1985
5041637302498238 ~1985
50416614839994579 ~1987
Exp. Prime Factor Digits Year
5041693302501598 ~1985
5041901403352098 ~1985
5041903806704498 ~1986
5042111100842238 ~1983
5042179907592238 ~1986
5042363100847278 ~1983
5042423100848478 ~1983
5042483100849678 ~1983
50426171512785119 ~1986
5042783100855678 ~1983
5042827806852338 ~1986
50432632521631519 ~1987
5043299100865998 ~1983
5043431100868638 ~1983
50434912521745519 ~1987
5043707403496578 ~1985
50438171513145119 ~1986
5043881302632878 ~1985
5044211907957998 ~1986
50442611513278319 ~1986
50443431311529199 ~1986
5044379403550338 ~1985
5044531908015598 ~1986
5045057302703438 ~1985
5045077302704638 ~1985
Exp. Prime Factor Digits Year
5045297302717838 ~1985
5045471100909438 ~1983
50455312522765519 ~1987
5045827504582718 ~1985
5045879100917598 ~1983
5045933302755998 ~1985
5045977302758638 ~1985
5046031807364978 ~1986
5046031908285598
5046491100929838 ~1983
5046511504651118 ~1985
50465112119534639
50465531211172739 ~1986
5046577302794638 ~1985
50465891110249599 ~1986
5046653302799198 ~1985
5046659100933198 ~1983
5046703504670318 ~1985
5046737403738978 ~1985
5046787504678718 ~1985
5046851100937038 ~1983
5046859504685918 ~1985
5047379100947598 ~1983
5047403100948078 ~1983
50475174038013619 ~1987
Exp. Prime Factor Digits Year
5047573302854398 ~1985
5047643100952878 ~1983
5047663504766318 ~1985
5047697403815778 ~1985
5048003100960078 ~1983
50483532019341219 ~1987
50483992120327599 ~1987
5048401807744178 ~1986
5048413302904798 ~1985
5048441302906478 ~1985
5048591100971838 ~1983
5048663100973278 ~1983
5048713302922798 ~1985
50487771918535279 ~1986
5048903100978078 ~1983
5048977302938638 ~1985
5048999100979998 ~1983
5048999403919938
5049503100990078 ~1983
50495031615840979
5049623100992478 ~1983
50498273736871999 ~1987
5049907807985138 ~1986
5049911100998238 ~1983
5049959100999198 ~1983
719
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26-07-05