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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
8222813493368798 ~1986
8222833493369998 ~1986
8222959822295918 ~1987
8222999164459998 ~1985
8223119164462398 ~1985
8223251164465038 ~1985
8223871822387118 ~1987
8223977493438638 ~1986
8224031164480638 ~1985
8224061493443678 ~1986
8224091164481838 ~1985
8224529657962338 ~1986
8224763164495278 ~1985
8224793493487598 ~1986
8225039164500798 ~1985
8225257493515438 ~1986
8225317493519038 ~1986
8225351164507038 ~1985
8225351658028098
82253773948180979 ~1988
82254311480577599 ~1987
8225579164511598 ~1985
8225687658054978 ~1986
8226143164522878 ~1985
82264095923014499 ~1989
Exp. Prime Factor Digits Year
8226583822658318 ~1987
8226593493595598 ~1986
8226719164534398 ~1985
8226809658144738 ~1986
8226857658148578 ~1986
8226899164537998 ~1985
8226947658155778 ~1986
82269474607090339
82270693948993139 ~1988
8227217658177378 ~1986
8227451164549038 ~1985
82274871480947679 ~1987
8227559164551198 ~1985
8227697493661838 ~1986
82277291974654979 ~1988
8227811164556238 ~1985
8227871164557438 ~1985
8228021658241698 ~1986
82282012633024339 ~1988
8228543164570878 ~1985
8228579164571598 ~1985
8228723164574478 ~1985
8228797493727838 ~1986
8228879164577598 ~1985
82288791481198239
Exp. Prime Factor Digits Year
8229191164583838 ~1985
8229283822928318 ~1987
8229323164586478 ~1985
8229619442753502310 ~1991
8230121658409698 ~1986
8230471823047118 ~1987
8230583164611678 ~1985
8230799658463938 ~1986
82312191975492579 ~1988
8231231164624638 ~1985
8231291164625838 ~1985
8231297658503778 ~1986
8231423164628478 ~1985
8231437493886238 ~1986
82319331975663939 ~1988
82321091811063999 ~1988
8232121493927278 ~1986
8232151823215118 ~1987
8232179164643598 ~1985
8232197658575778 ~1986
82323593951532339 ~1988
8232373493942398 ~1986
8232527658602178 ~1986
8232557493953438 ~1986
8233031164660638 ~1985
Exp. Prime Factor Digits Year
8233033493981998 ~1986
8233163164663278 ~1985
82331711027499740911 ~1992
8233367658669378 ~1986
8233453494007198 ~1986
8233679164673598 ~1985
8233937494036238 ~1986
82339494446332479 ~1989
8234123164682478 ~1985
8234141494048478 ~1986
8234279164685598 ~1985
8234321658745698 ~1986
8234711164694238 ~1985
8234921494095278 ~1986
8235323164706478 ~1985
8235371658829698 ~1986
8235433494125998 ~1986
8235791164715838 ~1985
8235881658870498 ~1986
8236031164720638 ~1985
8236057494163438 ~1986
8236103164722078 ~1985
8236133494167998 ~1986
8236181658894498 ~1986
8236271658901698 ~1986
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26-02-08