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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
385535977107197 ~1982
385543177108637 ~1982
38555032159081699 ~1986
385553977110797 ~1982
3855781231346878 ~1984
385585177117037 ~1982
38558511850808499
3855913231354798 ~1984
385619977123997 ~1982
3856381231382878 ~1984
385640377128077 ~1982
3856537617045938 ~1985
3856561231393678 ~1984
385663177132637 ~1982
3856733231403998 ~1984
3856793539951038 ~1984
3857081231424878 ~1984
3857297540021598 ~1984
3857309308584738 ~1984
3857369166638340910 ~1988
3857449848638798 ~1985
3857681231460878 ~1984
3857873231472398 ~1984
3857873540102238
385819177163837 ~1982
Exp. Prime Factor Digits Year
385825177165037 ~1982
3858401308672098 ~1984
3858523385852318 ~1984
3858593231515598 ~1984
385867177173437 ~1982
3858721617395378 ~1985
38587611466329199 ~1986
385883977176797 ~1982
3858901231534078 ~1984
38590675557056499 ~1987
385913977182797 ~1982
385925977185197 ~1982
3859333231559998 ~1984
3859517308761378 ~1984
3859573617531698 ~1985
3859673231580398 ~1984
3859693231581598 ~1984
3859787308782978 ~1984
3859829308786338 ~1984
3859939926385378 ~1985
3860023386002318 ~1984
38600298028860339 ~1987
386012377202477 ~1982
3860231308818498 ~1984
3860347386034718 ~1984
Exp. Prime Factor Digits Year
386047177209437 ~1982
3860489308839138 ~1984
3860561308844898 ~1984
3860641617702578 ~1985
3860821617731378 ~1985
3860863173738835110 ~1988
3860867308869378 ~1984
3860893926614338 ~1985
3860953926628738 ~1985
386105977221197 ~1982
386108377221677 ~1982
3861233231673998 ~1984
3861337231680238 ~1984
3861337617813938
386141977228397 ~1982
3861521231691278 ~1984
3861547386154718 ~1984
3861547695078478
386156377231277 ~1982
386171977234397 ~1982
3862267695208078 ~1985
3862373540732238 ~1984
386240377248077 ~1982
38625911854043699 ~1986
3862841231770478 ~1984
Exp. Prime Factor Digits Year
38629331158879919 ~1985
3863239695383038 ~1985
386333977266797 ~1982
3863683386368318 ~1984
386375977275197 ~1982
386390377278077 ~1982
3864019386401918 ~1984
3864461231867678 ~1984
3864551309164098 ~1984
386467177293437 ~1982
386468377293677 ~1982
3864811695665998 ~1985
3864827309186178 ~1984
3865123386512318 ~1984
38651872164504739 ~1986
3865513618482098 ~1985
3865517309241378 ~1984
3865577541180798 ~1985
3865601309248098 ~1984
3865663618506098 ~1985
3865993618558898 ~1985
386609977321997 ~1982
386617177323437 ~1982
38663931237245779 ~1985
386654377330877 ~1982
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