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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
45934991102439779
459362391872477 ~1983
4593679459367918 ~1985
4593847735015538 ~1985
459386391877277 ~1983
459392391878477 ~1983
45942231102613539 ~1986
4594277275656638 ~1984
4594277367542178
45943571378307119 ~1986
459445191889037 ~1983
459451191890237 ~1983
459455991891197 ~1983
45946091010813999 ~1986
459461991892397 ~1983
4594721367577698 ~1985
459476391895277 ~1983
45947691746012239 ~1986
459482391896477 ~1983
459488391897677 ~1983
45949991929899599 ~1986
459503991900797 ~1983
459518391903677 ~1983
459524391904877 ~1983
4595527459552718 ~1985
Exp. Prime Factor Digits Year
4595537643375198 ~1985
4595713275742798 ~1984
4595947459594718 ~1985
4595951827271198 ~1985
4596283735405298 ~1985
45963491011196799 ~1986
45965695056225919 ~1987
4596577275794638 ~1984
4596617275797038 ~1984
4596653275799198 ~1984
459667191933437 ~1983
459673191934637 ~1983
4596971367757698 ~1985
459709191941837 ~1983
4597231735556978 ~1985
4597253275835198 ~1984
4597277275836638 ~1984
4597291459729118 ~1985
4597337275840238 ~1984
4597381275842878 ~1984
459767991953597 ~1983
45977715517325219 ~1987
459791991958397 ~1983
459806391961277 ~1983
4598233275893998 ~1984
Exp. Prime Factor Digits Year
4598299459829918 ~1985
459860391972077 ~1983
459877191975437 ~1983
459893991978797 ~1983
4598999827819838 ~1985
459925191985037 ~1983
4599277275956638 ~1984
4599737275984238 ~1984
4599773275986398 ~1984
459986391997277 ~1983
45999832299991519 ~1986
4599989643998478 ~1985
4600027460002718 ~1985
4600051828009198 ~1985
46001511196039279 ~1986
460016392003277 ~1983
4600187368014978 ~1985
460033192006637 ~1983
46004291104102979 ~1986
460043992008797 ~1983
4600439828079038
4600513736082098 ~1985
46005531104132739 ~1986
4600577368046178 ~1985
460075192015037 ~1983
Exp. Prime Factor Digits Year
460081192016237 ~1983
460109992021997 ~1983
46014171380425119 ~1986
460184392036877 ~1983
46018431196479199
4601887460188718 ~1985
4601957368156578 ~1985
460201192040237 ~1983
4602011368160898
4602071368165698 ~1985
4602137368170978 ~1985
4602173276130398 ~1984
4602187736349938 ~1985
460223992044797 ~1983
4602341276140478 ~1984
460237192047437 ~1983
4602397276143838 ~1984
460244392048877 ~1983
4602583736413298 ~1985
460279192055837 ~1983
4602797276167838 ~1984
4603153276189198 ~1984
4603259368260738 ~1985
460333192066637 ~1983
4603331368266498
680
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26-07-19