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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
3336713200202798 ~1983
333677966735597 ~1982
33367793270043439
333680366736077 ~1982
3336917266953378 ~1983
333692366738477 ~1982
3337111533937778 ~1984
3337177200230638 ~1983
333719966743997 ~1982
3337261200235678 ~1983
3337319800956578 ~1985
3337361200241678 ~1983
3337379266990338 ~1983
33373934205115199 ~1986
3337421266993698 ~1983
3337591333759118 ~1984
3337757200265438 ~1983
333793166758637 ~1982
333797966759597 ~1982
333803966760797 ~1982
3338039801129378
3338119333811918 ~1984
33382491802654479 ~1985
3338371333837118 ~1984
3338537200312238 ~1983
Exp. Prime Factor Digits Year
33385492069900399 ~1986
3338581667048483910 ~1989
3338597267087778 ~1983
3338627801270498 ~1985
3338651267092098 ~1983
3338759600976638 ~1984
33388791669439519 ~1985
3338893200333598 ~1983
3338897200333838 ~1983
3338903801336738 ~1985
3338963801351138 ~1985
3338981200338878 ~1983
3339067333906718 ~1984
3339121200347278 ~1983
3339373200362398 ~1983
3339601200376078 ~1983
3339601534336178
3339607333960718 ~1984
33396436144943139 ~1987
3339797200387838 ~1983
3339863868364398 ~1985
3339881200392878 ~1983
3339913200394798 ~1983
334009166801837 ~1982
3340093801622338 ~1985
Exp. Prime Factor Digits Year
3340387334038718 ~1984
334051166810237 ~1982
3340609801746178 ~1985
334067966813597 ~1982
334091966818397 ~1982
334094366818877 ~1982
3340943801826338
334129166825837 ~1982
3341311334131118 ~1984
3341341200480478 ~1983
33413994076506799 ~1986
334160366832077 ~1982
3341773534683698 ~1984
334187966837597 ~1982
3341881534700978 ~1984
3341959334195918 ~1984
334202366840477 ~1982
334226366845277 ~1982
33422631871667299
334232366846477 ~1982
33423791336951619 ~1985
334249166849837 ~1982
3342571534811378 ~1984
334262366852477 ~1982
3342847334284718 ~1984
Exp. Prime Factor Digits Year
3342847601712478
3343037200582238 ~1983
3343097200585838 ~1983
334339166867837 ~1982
3343553200613198 ~1983
3343741200624478 ~1983
3343757267500578 ~1983
3343771334377118 ~1984
3343897802535298 ~1985
3344227334422718 ~1984
334427966885597 ~1982
3344339267547138 ~1983
3344351601983198 ~1984
3344503334450318 ~1984
3344833200689998 ~1983
3344921200695278 ~1983
334507166901437 ~1982
3345091602116398 ~1984
334511966902397 ~1982
3345137200708238 ~1983
3345191267615298 ~1983
3345193200711598 ~1983
3345317267625378 ~1983
334532366906477 ~1982
334538366907677 ~1982
539
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25-09-07