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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
4500317360025378 ~1984
450037190007437 ~1983
450038390007677 ~1983
4500439450043918 ~1985
450049190009837 ~1983
4500553990121678 ~1985
450059990011997 ~1983
450073190014637 ~1983
4500751450075118 ~1985
45007791440249299 ~1986
4500943720150898 ~1985
45010011440320339 ~1986
4501037270062238 ~1984
4501097270065838 ~1984
4501153270069198 ~1984
4501199360095938 ~1984
45014512160696499 ~1986
4501577360126178 ~1984
4501921270115278 ~1984
45019991080479779 ~1986
450205190041037 ~1983
450215990043197 ~1983
450217190043437 ~1983
4502257270135438 ~1984
4502359450235918 ~1985
Exp. Prime Factor Digits Year
4502621270157278 ~1984
4502747360219778 ~1984
450275990055197 ~1983
450317990063597 ~1983
4503217270193038 ~1984
4503413270204798 ~1984
450343190068637 ~1983
4503467360277378 ~1984
450349190069837 ~1983
450365990073197 ~1983
4503661720585778 ~1985
450383990076797 ~1983
45039233242824579 ~1987
4504111450411118 ~1985
4504147720663538 ~1985
450421190084237 ~1983
4504397270263838 ~1984
4504961270297678 ~1984
450500390100077 ~1983
4505041270302478 ~1984
4505057270303438 ~1984
45051131081227139 ~1986
4505233270313998 ~1984
4505381270322878 ~1984
4505551450555118 ~1985
Exp. Prime Factor Digits Year
450559190111837 ~1983
4505597270335838 ~1984
4505693270341598 ~1984
45059931351797919 ~1986
4506001270360078 ~1984
4506197360495778 ~1984
4506251360500098 ~1984
450631190126237 ~1983
450661190132237 ~1983
4506611360528898
4506617270397038 ~1984
4506707360536578 ~1984
450673190134637 ~1983
4506913270414798 ~1984
4506917360553378 ~1984
4507033721125298 ~1985
4507289631020478 ~1985
450731990146397 ~1983
4507361360588898 ~1984
4507453721192498 ~1985
4507469360597538 ~1984
4507507450750718 ~1985
4507751360620098 ~1984
450779990155997 ~1983
4507837270470238 ~1984
Exp. Prime Factor Digits Year
45078977843740799 ~1988
4507949360635938 ~1984
450803990160797 ~1983
4508267360661378 ~1984
450830390166077 ~1983
4508333270499998 ~1984
4508461270507678 ~1984
4508653721384498 ~1985
450871190174237 ~1983
45087111442787539
450877190175437 ~1983
4508771360701698
450887990177597 ~1983
4508971450897118 ~1985
4508971721435378
4509161270549678 ~1984
4509209360736738 ~1984
4509361270561678 ~1984
450937190187437 ~1983
450950390190077 ~1983
450962390192477 ~1983
450973190194637 ~1983
4509763450976318 ~1985
450989990197997 ~1983
4510477270628638 ~1984
643
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25-07-08