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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
3493781209626878 ~1983
349385969877197 ~1982
349388369877677 ~1982
34939371886725999 ~1986
3493957209637438 ~1983
349406369881277 ~1982
34942692725529839 ~1986
349430369886077 ~1982
349439969887997 ~1982
3494453105532480710 ~1987
349453169890637 ~1982
3494627629032878 ~1984
34949511957172579 ~1986
3494969489295678 ~1984
3495017279601378 ~1984
3495043349504318 ~1984
349517969903597 ~1982
3495301209718078 ~1983
3495397209723838 ~1983
349573169914637 ~1982
349591169918237 ~1982
349598369919677 ~1982
3496091279687298 ~1984
34962495873698339 ~1987
3496387559421938 ~1984
Exp. Prime Factor Digits Year
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
3497623121017755910 ~1988
349799969959997 ~1982
3498037559685938 ~1984
349808369961677 ~1982
3498101209886078 ~1983
Exp. Prime Factor Digits Year
349811969962397 ~1982
349841969968397 ~1982
34984792518904899 ~1986
34985772239089299 ~1986
3498773209926398 ~1983
3498773839705538
3498947279915778 ~1984
349901969980397 ~1982
349904369980877 ~1982
3499091279927298 ~1984
3499189769821598 ~1985
34994811959709379 ~1986
349951169990237 ~1982
3499567629922078 ~1984
3499597209975838 ~1983
349979969995997 ~1982
349982369996477 ~1982
3499831559972978 ~1984
3500207630037278 ~1984
3500461210027678 ~1983
350083170016637 ~1982
350089170017837 ~1982
350099970019997 ~1982
3501209840290178 ~1985
3501343560214898 ~1984
Exp. Prime Factor Digits Year
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
35028712311894879
350297970059597 ~1982
3503039630547038 ~1984
350330370066077 ~1982
350339970067997 ~1982
3503407560545138 ~1984
3503473840833538 ~1985
3503477210208638 ~1983
350357970071597 ~1982
3503677210220638 ~1983
350371170074237 ~1982
575
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26-08-02