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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
348113969622797 ~1982
3481147348114718 ~1984
3481273557003698 ~1984
348139169627837 ~1982
348140369628077 ~1982
3481477208888638 ~1983
3481573208894398 ~1983
3481781208906878 ~1983
3481927626746878 ~1984
34819673342688339 ~1986
3482249278579938 ~1984
348235169647037 ~1982
348241169648237 ~1982
3482579278606338 ~1984
3482761208965678 ~1983
34829393622256579 ~1986
3483089278647138 ~1984
3483091626956398 ~1984
3483167278653378 ~1984
3483241208994478 ~1983
3483257487655998 ~1984
348332369666477 ~1982
348344369668877 ~1982
348361169672237 ~1982
34837091393483619 ~1985
Exp. Prime Factor Digits Year
348371969674397 ~1982
348383969676797 ~1982
3483881278710498 ~1984
3484021766484638 ~1985
3484073209044398 ~1983
3484079278726338 ~1984
3484141209048478 ~1983
34845011602870479 ~1985
3484567557530738 ~1984
3485011348501118 ~1984
3485137209108238 ~1983
3485197209111838 ~1983
3485639836553378 ~1985
3485701209142078 ~1983
3485789488010478 ~1984
3485837278866978 ~1984
3485939278875138 ~1984
3485957209157438 ~1983
3486017278881378 ~1984
3486059278884738 ~1984
34861991185307679 ~1985
34864631394585219 ~1985
348655169731037 ~1982
348661169732237 ~1982
3486737488143198 ~1984
Exp. Prime Factor Digits Year
348683969736797 ~1982
348686369737277 ~1982
3486941209216478 ~1983
348719969743997 ~1982
3487229488212078 ~1984
3487369767221198 ~1985
3487637209258238 ~1983
3487661209259678 ~1983
3487709279016738 ~1984
3487807348780718 ~1984
3487807558049138
348787169757437 ~1982
348806369761277 ~1982
3488161209289678 ~1983
3488311627895998 ~1984
348833969766797 ~1982
34883391116268499
3488393837214338 ~1985
34885431465188079 ~1985
348859169771837 ~1982
348860369772077 ~1982
3488741209324478 ~1983
3489001209340078 ~1983
348902369780477 ~1982
3489089488472478 ~1984
Exp. Prime Factor Digits Year
3489173209350398 ~1983
348937169787437 ~1982
3489389279151138 ~1984
3489593209375598 ~1983
34898471186547999 ~1985
349013969802797 ~1982
349019969803997 ~1982
3490393558462898 ~1984
349045169809037 ~1982
349046369809277 ~1982
3490517209431038 ~1983
3490771349077118 ~1984
3490937209456238 ~1983
3491017209461038 ~1983
3491021209461278 ~1983
34910511675704499 ~1985
3491093209465598 ~1983
3491093488753038
349112369822477 ~1982
3491233768071278 ~1985
34912491326674639 ~1985
349129169825837 ~1982
3491317558610738 ~1984
34913336074919439 ~1987
34914732444031119 ~1986
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25-06-01