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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
6311759126235198 ~1984
63121571893647119 ~1987
63123791136228239 ~1986
6312659505012738 ~1986
6312689505015138 ~1986
6313253883855438 ~1986
63133091388927999 ~1987
6313379126267598 ~1984
6313397378803838 ~1985
6313399631339918 ~1986
6313829505106338 ~1986
6314543126290878 ~1984
63148991136681839 ~1986
6314921505193698 ~1986
6315209505216738 ~1986
63153072147204399 ~1987
6315311126306238 ~1984
6315341378920478 ~1985
6315371126307438 ~1984
6315383126307678 ~1984
6315511631551118 ~1986
63155271642037039 ~1987
6315691631569118 ~1986
6315791126315838 ~1984
6315839126316798 ~1984
Exp. Prime Factor Digits Year
63158711010539379 ~1986
6315919631591918 ~1986
6315941378956478 ~1985
6315943222321193710 ~1990
63161531010584499 ~1986
63161991515887779 ~1987
6316319126326398 ~1984
6316393378983598 ~1985
63166013916292639 ~1988
6316679126333598 ~1984
6316703126334078 ~1984
6316811126336238 ~1984
6317021379021278 ~1985
6317027505362178 ~1986
6317141505371298 ~1986
6317147505371778 ~1986
6317159505372738 ~1986
6317219126344398 ~1984
6317231126344638 ~1984
6317351126347038 ~1984
6317357379041438 ~1985
6317357505388578
6317357884429998
6317477379048638 ~1985
6317483126349678 ~1984
Exp. Prime Factor Digits Year
63174832021594579
63178076570519299 ~1988
63178492021711699 ~1987
6317933379075998 ~1985
6317963126359278 ~1984
6318001379080078 ~1985
6318019631801918 ~1986
6318131126362638 ~1984
63181491895444719 ~1987
63184192653735999 ~1987
6318553379113198 ~1985
6318617505489378 ~1986
6318737379124238 ~1985
6319091505527298 ~1986
6319111631911118 ~1986
6319403126388078 ~1984
63194411390277039 ~1987
6319451126389038 ~1984
63194711011115379 ~1986
6319589884742478 ~1986
6319633379177998 ~1985
63196331390319279
6319679126393598 ~1984
6319813379188798 ~1985
6320129884818078 ~1986
Exp. Prime Factor Digits Year
6320333379219998 ~1985
6320459126409198 ~1984
6320459505636738
6320813379248798 ~1985
63208913539698979 ~1988
6320903126418078 ~1984
6321131126422638 ~1984
63212092402059439 ~1987
63212771011404339 ~1986
63213071517113699 ~1987
63213731011419699 ~1986
6321647505731778 ~1986
6321719126434398 ~1984
6322091126441838 ~1984
6322103126442078 ~1984
6322313379338798 ~1985
6322451126449038 ~1984
6322469885145678 ~1986
6322643126452878 ~1984
63226433161321519
6323153379389198 ~1985
6323299632329918 ~1986
63233531011736499 ~1986
6323441379406478 ~1985
6323567505885378 ~1986
779
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25-04-13