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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.
Exponent Prime Factor Digits Year
17353331347066638 ~1988
17353559347071198 ~1988
173540811041244879 ~1989
17354231347084638 ~1988
173548671388389379 ~1989
173549339371663839 ~1991
17355203347104078 ~1988
17355599347111998 ~1988
17355791347115838 ~1988
17356103347122078 ~1988
17356343347126878 ~1988
17356463347129278 ~1988
17357339347146798 ~1988
173578971388631779 ~1989
17358119347162398 ~1988
173583616943344419 ~1991
173585531041513199 ~1989
17358563347171278 ~1988
17358923347178478 ~1988
17358959347179198 ~1988
173595411041572479 ~1989
17359679347193598 ~1988
17359763347195278 ~1988
17359883347197678 ~1988
17359931347198638 ~1988
Exponent Prime Factor Digits Year
17360771347215438 ~1988
173615211041691279 ~1989
17361671347233438 ~1988
173621931041731599 ~1989
17362211347244238 ~1988
17363543347270878 ~1988
17363903347278078 ~1988
17365463388986371310 ~1993
17365703347314078 ~1988
173662333820571279 ~1990
17366291347325838 ~1988
173663171041979039 ~1989
17366423347328478 ~1988
17366543347330878 ~1988
173667531042005199 ~1989
17366879347337598 ~1988
17367071347341438 ~1988
17367359347347198 ~1988
17367671347353438 ~1988
173677391736773919 ~1989
17368283347365678 ~1988
17368511347370238 ~1988
173689611389516899 ~1989
17369063347381278 ~1988
17369171347383438 ~1988
Exponent Prime Factor Digits Year
17369279347385598 ~1988
17369603347392078 ~1988
17369939347398798 ~1988
17370491347409838 ~1988
173706713126720799 ~1990
173706714516374479
17370851347417038 ~1988
17371379347427598 ~1988
17372339347446798 ~1988
17372639347452798 ~1988
17372819347456398 ~1988
173728631737286319 ~1989
173728911389831299 ~1989
17373431347468638 ~1988
173734511737345119 ~1989
17373491347469838 ~1988
17373563347471278 ~1988
17374079347481598 ~1988
17374163347483278 ~1988
173741692432383679 ~1990
173743811042462879 ~1989
17374387184168502310 ~1992
17374403347488078 ~1988
173746671389973379 ~1989
173746678339840179
Exponent Prime Factor Digits Year
173753172780050739 ~1990
173757771042546639 ~1989
17376239347524798 ~1988
173768831737688319 ~1989
17377103347542078 ~1988
173771271390170179 ~1989
17377319347546398 ~1988
17377631347552638 ~1988
173776517298613439 ~1991
173777771042666639 ~1989
173779931042679599 ~1989
17378303347566078 ~1988
17378723347574478 ~1988
17378759347575198 ~1988
17378843347576878 ~1988
173791331042747999 ~1989
17379371347587438 ~1988
173794631737946319 ~1989
17379539347590798 ~1988
17379779347595598 ~1988
17380199156421791110 ~1992
173802771042816639 ~1989
17380691347613838 ~1988
17382023347640478 ~1988
17382479347649598 ~1988
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