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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
73105791754538979 ~1987
7310843146216878 ~1985
73110112339523539 ~1988
7311047584883778 ~1986
7311119146222398 ~1985
73112091023569279 ~1987
7311347584907778 ~1986
7311431146228638 ~1985
7311593438695598 ~1986
7311659146233198 ~1985
7311737438704238 ~1986
73117791316120239 ~1987
7312013438720798 ~1986
7312087731208718 ~1986
73120872486109599
7312139146242798 ~1985
7312493438749598 ~1986
7312517438751038 ~1986
7312961585036898 ~1986
7312979146259598 ~1985
7313291146265838 ~1985
7313567585085378 ~1986
7313693438821598 ~1986
7313729585098338 ~1986
73138811170220979 ~1987
Exp. Prime Factor Digits Year
7313903146278078 ~1985
7313951146279038 ~1985
7314143146282878 ~1985
7314193438851598 ~1986
7314533438871998 ~1986
7314803146296078 ~1985
7314953438897198 ~1986
7315379585230338 ~1986
7315463146309278 ~1985
7315619585249538 ~1986
7315811146316238 ~1985
7316359731635918 ~1986
73163711316946799 ~1987
73165091609631999 ~1987
7316557438993438 ~1986
7316587731658718 ~1986
7316611731661118 ~1986
7316741439004478 ~1986
7316801585344098 ~1986
7316849197554923110 ~1990
7316909585352738 ~1986
73169271317046879 ~1987
7317041585363298 ~1986
73170433073158079 ~1988
7317119146342398 ~1985
Exp. Prime Factor Digits Year
7317143146342878 ~1985
7317511731751118 ~1986
7317553439053198 ~1986
73176192927047619 ~1988
7317731146354638 ~1985
7317851146357038 ~1985
7318037439082238 ~1986
73182474098218339 ~1988
7318453439107198 ~1986
7318631146372638 ~1985
7318931146378638 ~1985
73189671902931439 ~1987
7319201585536098 ~1986
7319219146384398 ~1985
7319243146384878 ~1985
7319387585550978 ~1986
7319597585567778 ~1986
7319633439177998 ~1986
7319891146397838 ~1985
7319891585591298
7320011146400238 ~1985
7320077439204638 ~1986
7320101585608098 ~1986
73201691610437199 ~1987
7320883732088318 ~1986
Exp. Prime Factor Digits Year
7320959146419198 ~1985
7320961439257678 ~1986
7320997439259838 ~1986
7321031146420638 ~1985
73210633074846479 ~1988
7321091146421838 ~1985
7321147732114718 ~1986
73214531171432499 ~1987
7321621439297278 ~1986
7321709585736738 ~1986
7321943146438878 ~1985
7322129585770338 ~1986
7322131732213118 ~1986
73225695125798319 ~1988
73226834832970799 ~1988
7323143146462878 ~1985
7323359146467198 ~1985
7323419146468398 ~1985
7323473439408398 ~1986
7323497439409838 ~1986
7323557439413438 ~1986
7323581439414878 ~1986
7323623146472478 ~1985
7323731146474638 ~1985
7323731585898498
903
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26-08-30