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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
333296366659277 ~1982
3333097533295538 ~1984
333311966662397 ~1982
33331991599935539 ~1985
3333257199995438 ~1983
3333277199996638 ~1983
3333427533348338 ~1984
3333527266682178 ~1983
3333593466703038 ~1984
333361166672237 ~1982
3333761266700898 ~1983
3333901733458238 ~1984
3333917466748398 ~1984
3333931533428978 ~1984
333422366684477 ~1982
3334337200060238 ~1983
333445166689037 ~1982
333455966691197 ~1982
3334651533544178 ~1984
33346631400558479 ~1985
3334673200080398 ~1983
3335021200101278 ~1983
333509966701997 ~1982
3335141200108478 ~1983
3335201266816098 ~1983
Exp. Prime Factor Digits Year
333530366706077 ~1982
3335359333535918 ~1984
3335531138758089710 ~1988
3335573200134398 ~1983
3335789266863138 ~1983
3335947600470478 ~1984
3335971533755378 ~1984
3336071266885698 ~1983
3336317200179038 ~1983
3336379600548238 ~1984
33365832202144799 ~1986
3336601200196078 ~1983
3336617467126398 ~1984
333665966733197 ~1982
3336713200202798 ~1983
333677966735597 ~1982
33367793270043439
333680366736077 ~1982
3336917266953378 ~1983
333692366738477 ~1982
3337111533937778 ~1984
3337177200230638 ~1983
333719966743997 ~1982
3337261200235678 ~1983
3337319800956578 ~1985
Exp. Prime Factor Digits Year
3337361200241678 ~1983
3337379266990338 ~1983
33373934205115199 ~1986
3337421266993698 ~1983
3337591333759118 ~1984
3337757200265438 ~1983
333793166758637 ~1982
333797966759597 ~1982
333803966760797 ~1982
3338119333811918 ~1984
33382491802654479 ~1985
3338371333837118 ~1984
3338537200312238 ~1983
33385492069900399 ~1986
3338581667048483910 ~1989
3338597267087778 ~1983
3338627801270498 ~1985
3338651267092098 ~1983
3338759600976638 ~1984
33388791669439519 ~1985
3338893200333598 ~1983
3338897200333838 ~1983
3338963801351138 ~1985
3338981200338878 ~1983
3339067333906718 ~1984
Exp. Prime Factor Digits Year
3339121200347278 ~1983
3339373200362398 ~1983
3339601200376078 ~1983
3339601534336178
3339607333960718 ~1984
33396436144943139 ~1987
3339797200387838 ~1983
3339863868364398 ~1985
3339881200392878 ~1983
3339913200394798 ~1983
334009166801837 ~1982
3340093801622338 ~1985
3340387334038718 ~1984
334051166810237 ~1982
334067966813597 ~1982
334091966818397 ~1982
334094366818877 ~1982
3340943801826338
334129166825837 ~1982
3341311334131118 ~1984
3341341200480478 ~1983
33413994076506799 ~1986
334160366832077 ~1982
3341773534683698 ~1984
334187966837597 ~1982
529
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25-04-13