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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
8322683166453678 ~1985
83227339321460979 ~1989
8322773499366398 ~1986
8323103166462078 ~1985
8323439166468798 ~1985
83235171165292399 ~1987
8323541665883298 ~1987
8323571166471438 ~1985
8323603832360318 ~1987
8323751166475038 ~1985
8323793499427598 ~1986
8323817499429038 ~1986
8323823166476478 ~1985
8323883166477678 ~1985
8324411166488238 ~1985
8324447219765400910 ~1990
8325071166501438 ~1985
83252272164559039 ~1988
8325437666034978 ~1987
8325491166509838 ~1985
8325539166510798 ~1985
8325599166511998 ~1985
8325671166513438 ~1985
83258932664285779 ~1988
8325899166517998 ~1985
Exp. Prime Factor Digits Year
8326033499561998 ~1986
8326079166521598 ~1985
8326267832626718 ~1987
8326511166530238 ~1985
8326553499593198 ~1986
8326727666138178 ~1987
8326793499607598 ~1986
8326861499611678 ~1986
8327191832719118 ~1987
8327233499633998 ~1986
8327279166545598 ~1985
8327533499651998 ~1986
8327999666239938 ~1987
83280414663702979 ~1989
83281211332499379 ~1987
8328311666264898 ~1987
8328493499709598 ~1986
83286671332586739 ~1987
8328701666296098 ~1987
83287012665184339
8328731166574638 ~1985
8329103166582078 ~1985
8329157666332578 ~1987
8329859166597198 ~1985
83298592665554899
Exp. Prime Factor Digits Year
83299871499397679 ~1987
8330407833040718 ~1987
8330771666461698 ~1987
8330789666463138 ~1987
8330963166619278 ~1985
8330999166619998 ~1985
83310973998926579 ~1988
8331131166622638 ~1985
8331181499870878 ~1986
8331371166627438 ~1985
83315711499682799 ~1987
83315993499271599 ~1988
8331857499911438 ~1986
8331923166638478 ~1985
8332223166644478 ~1985
8332277499936638 ~1986
8332361499941678 ~1986
8332403166648078 ~1985
8332777499966638 ~1986
8333183166663678 ~1985
8333651166673038 ~1985
83337792000106979 ~1988
8333861500031678 ~1986
8333999166679998 ~1985
8334101500046078 ~1986
Exp. Prime Factor Digits Year
8334323166686478 ~1985
8334343833434318 ~1987
8334377500062638 ~1986
8334527666762178 ~1987
8334779166695598 ~1985
8334899166697998 ~1985
8334929666794338 ~1987
8335031166700638 ~1985
8335073500104398 ~1986
8335157500109438 ~1986
8335273500116398 ~1986
8335583166711678 ~1985
8335643166712878 ~1985
8335991166719838 ~1985
8336147666891778 ~1987
8336677500200638 ~1986
8336873500212398 ~1986
8337137666970978 ~1987
8337149666971938 ~1987
83374571333993139 ~1987
8337611166752238 ~1985
8337653500259198 ~1986
8337863166757278 ~1985
83380492501414719 ~1988
8338091166761838 ~1985
958
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26-03-29