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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
7359643735964318 ~1986
7359761441585678 ~1986
7359791147195838 ~1985
73599493532775539 ~1988
7359959147199198 ~1985
7360091147201838 ~1985
7360739147214798 ~1985
7360883147217678 ~1985
73609871324977679 ~1987
7361327588906178 ~1986
7361423147228478 ~1985
7361639147232798 ~1985
7361801441708078 ~1986
7361951147239038 ~1985
7362263147245278 ~1985
7362301441738078 ~1986
7362419588993538 ~1986
7362941441776478 ~1986
73630031178080499 ~1987
73630737657595939 ~1989
7363451147269038 ~1985
7363463147269278 ~1985
7363679147273598 ~1985
7364471147289438 ~1985
7364677441880638 ~1986
Exp. Prime Factor Digits Year
7364681441880878 ~1986
7364699147293998 ~1985
7364711147294238 ~1985
7364771147295438 ~1985
7365311147306238 ~1985
7365401589232098 ~1986
7365443147308878 ~1985
7365661441939678 ~1986
7365791147315838 ~1985
7366013441960798 ~1986
7366223147324478 ~1985
7366259589300738 ~1986
7366379147327598 ~1985
7366477441988638 ~1986
7366487589318978 ~1986
7366577589326178 ~1986
7366769589341538 ~1986
7366817589345378 ~1986
7366823147336478 ~1985
7366897442013838 ~1986
73669435893554419 ~1989
73669812210094319 ~1987
7366993442019598 ~1986
7367021442021278 ~1986
73673591326124639 ~1987
Exp. Prime Factor Digits Year
7367621442057278 ~1986
73676218841145219
7367627589410178 ~1986
7367999589439938 ~1986
7368037442082238 ~1986
7368209589456738 ~1986
7368281442096878 ~1986
7368301442098078 ~1986
7368499154738479110 ~1990
73686293536941939 ~1988
7368659589492738 ~1986
7368719147374398 ~1985
7368791589503298 ~1986
73688571031639999 ~1987
7368863147377278 ~1985
7369259147385198 ~1985
7369301589544098 ~1986
7369441442166478 ~1986
7369961442197678 ~1986
7369991147399838 ~1985
7370003147400078 ~1985
7370057589604578 ~1986
7370183147403678 ~1985
7370353442221198 ~1986
73703531179256499
Exp. Prime Factor Digits Year
7370393442223598 ~1986
7370543147410878 ~1985
7370771147415438 ~1985
7370873442252398 ~1986
7370903147418078 ~1985
7371509589720738 ~1986
7371641442298478 ~1986
7371697442301838 ~1986
73720371032085199 ~1987
7372103147442078 ~1985
7372243737224318 ~1986
7372283147445678 ~1985
7372633442357998 ~1986
7372837442370238 ~1986
7373077442384638 ~1986
73731233686561519 ~1988
7373543147470878 ~1985
7373603147472078 ~1985
7373621442417278 ~1986
7373789589903138 ~1986
73738873539465779 ~1988
7374293442457598 ~1986
7374403737440318 ~1986
7374677442480638 ~1986
73748633097442479 ~1988
854
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25-05-04