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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
349591169918237 ~1982
349598369919677 ~1982
3496091279687298 ~1984
34962495873698339 ~1987
3496387559421938 ~1984
349640369928077 ~1982
3496403909064798
3496469279717538 ~1984
3496469489505678
3496657209799438 ~1983
3496673209800398 ~1983
34967091328749439 ~1985
349679969935997 ~1982
3496841209810478 ~1983
349685969937197 ~1982
349700369940077 ~1982
349705169941037 ~1982
3497051279764098
3497227349722718 ~1984
349724369944877 ~1982
3497267629508078 ~1984
349730369946077 ~1982
3497321279785698 ~1984
3497479349747918 ~1984
3497519279801538 ~1984
Exp. Prime Factor Digits Year
349799969959997 ~1982
3498037559685938 ~1984
349808369961677 ~1982
3498101209886078 ~1983
349811969962397 ~1982
349841969968397 ~1982
34984792518904899 ~1986
34985772239089299 ~1986
3498773209926398 ~1983
3498947279915778 ~1984
349901969980397 ~1982
349904369980877 ~1982
3499091279927298 ~1984
349951169990237 ~1982
3499567629922078 ~1984
3499597209975838 ~1983
349979969995997 ~1982
349982369996477 ~1982
3499831559972978 ~1984
3500207630037278 ~1984
3500461210027678 ~1983
350083170016637 ~1982
350089170017837 ~1982
350099970019997 ~1982
3501209840290178 ~1985
Exp. Prime Factor Digits Year
3501343560214898 ~1984
350161170032237 ~1982
3501629490228078 ~1984
350173170034637 ~1982
3501733210103998 ~1983
350186370037277 ~1982
3501919350191918 ~1984
350204370040877 ~1982
3502231560356978 ~1984
3502363560378098 ~1984
350251170050237 ~1982
3502607280208578 ~1984
350261970052397 ~1982
3502853490399438 ~1984
350287170057437 ~1982
350297970059597 ~1982
3503039630547038 ~1984
350330370066077 ~1982
350339970067997 ~1982
3503407560545138 ~1984
3503477210208638 ~1983
350357970071597 ~1982
3503677210220638 ~1983
350371170074237 ~1982
3503881210232878 ~1983
Exp. Prime Factor Digits Year
350389170077837 ~1982
3503933210235998 ~1983
3504089280327138 ~1984
3504101210246078 ~1983
350423970084797 ~1982
3504419280353538 ~1984
350444370088877 ~1982
3504497210269838 ~1983
3504517210271038 ~1983
3504551911183278 ~1985
3504577210274638 ~1983
3504593490643038 ~1984
3504691560750578 ~1984
3504869280389538 ~1984
3504997560799538 ~1984
3505091911323678 ~1985
3505123350512318 ~1984
3505207350520718 ~1984
3505273210316398 ~1983
3505319630957438 ~1984
3505501210330078 ~1983
3505517841324098 ~1985
3505559841334178 ~1985
35055592594113679
350557170111437 ~1982
546
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25-04-13