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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
349046369809277 ~1982
3490517209431038 ~1983
3490771349077118 ~1984
3490937209456238 ~1983
3491017209461038 ~1983
3491021209461278 ~1983
34910511675704499 ~1985
3491093209465598 ~1983
3491093488753038
349112369822477 ~1982
3491233768071278 ~1985
34912491326674639 ~1985
349129169825837 ~1982
3491317558610738 ~1984
34913336074919439 ~1987
34914732444031119 ~1986
3491533209491998 ~1983
3491651279332098 ~1984
3491777209506638 ~1983
3491827349182718 ~1984
3491897209513838 ~1983
3491923838061538 ~1985
3491947349194718 ~1984
3492337209540238 ~1983
3492493209549598 ~1983
Exp. Prime Factor Digits Year
349271969854397 ~1982
3492737209564238 ~1983
3492793209567598 ~1983
34927931397117219
3492893209573598 ~1983
34930273143724319 ~1986
3493073209584398 ~1983
3493103838344738 ~1985
349316369863277 ~1982
3493333838399938 ~1985
3493337279466978 ~1984
3493361279468898 ~1984
34933611048008319
349340369868077 ~1982
3493433489080638 ~1984
34935131397405219 ~1985
3493547838451298 ~1985
3493597209615838 ~1983
3493781209626878 ~1983
349385969877197 ~1982
349388369877677 ~1982
34939371886725999 ~1986
3493957209637438 ~1983
349406369881277 ~1982
34942692725529839 ~1986
Exp. Prime Factor Digits Year
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
349640369928077 ~1982
3496403909064798
3496469279717538 ~1984
3496469489505678
3496657209799438 ~1983
3496673209800398 ~1983
34967091328749439 ~1985
Exp. Prime Factor Digits Year
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
349799969959997 ~1982
3498037559685938 ~1984
349808369961677 ~1982
3498101209886078 ~1983
349811969962397 ~1982
349841969968397 ~1982
34984792518904899 ~1986
34985772239089299 ~1986
3498773209926398 ~1983
3498773839705538
3498947279915778 ~1984
349901969980397 ~1982
563
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26-01-11