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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
126229375737597 ~1980
1262377201980338 ~1981
12624111211914579 ~1983
126245375747197 ~1980
126254325250877 ~1979
1262543404013778
1262563126256318 ~1980
126261775757037 ~1980
1262669101013538 ~1980
12626933106224799 ~1984
1262717681867198 ~1982
1262741101019298 ~1980
126290325258077 ~1979
1262957101036578 ~1980
1263071707319778 ~1982
1263077101046178 ~1980
126318175790877 ~1980
126319125263837 ~1979
126323925264797 ~1979
126329925265997 ~1979
126332325266477 ~1979
12633315078590639 ~1984
126334175800477 ~1980
126376175825677 ~1980
1263799126379918 ~1980
Exp. Prime Factor Digits Year
126380325276077 ~1979
1263917303340098 ~1981
1263917149647772910
1264009379202718 ~1981
1264027227524878 ~1981
1264033278087278 ~1981
126419925283997 ~1979
1264261202281778 ~1981
126433125286637 ~1979
126454175872477 ~1980
1264577177040798 ~1981
1264597682882398 ~1982
1264607101168578 ~1980
1264649379394718 ~1981
12646677689175379 ~1985
1264687227643678 ~1981
126474175884477 ~1980
126488325297677 ~1979
126489775893837 ~1980
1264969379490718 ~1981
126497925299597 ~1979
1265041278309038 ~1981
126505125301037 ~1979
1265051531321438
126511125302237 ~1979
Exp. Prime Factor Digits Year
126511375906797 ~1980
1265129784379998 ~1982
126528175916877 ~1980
12653211518385219 ~1983
1265431227777598 ~1981
126555775933437 ~1980
1265603329056798 ~1981
12656111139049919 ~1983
1265729303774978 ~1981
126584325316877 ~1979
1265923303821538 ~1981
1265959607660338 ~1982
1266157810340498 ~1982
1266197101295778 ~1980
12661973038872819
126626325325277 ~1979
12662634052041619
1266269177277678 ~1981
1266301582498478 ~1982
1266409278609998 ~1981
1266413487062439910 ~1987
126643125328637 ~1979
1266487126648718 ~1980
1266527303966498 ~1981
126656325331277 ~1979
Exp. Prime Factor Digits Year
1266731405353938 ~1982
126675776005437 ~1980
1266761481369198 ~1982
1266799430711678 ~1982
1266847202695538 ~1981
1266883506753218 ~1982
12668931089527999 ~1983
1266949304067778 ~1981
1267121380136318 ~1982
126715125343037 ~1979
1267151912348738
1267291202766578 ~1981
12675011521001219 ~1983
12677871014229619 ~1983
126785925357197 ~1979
1267859532500798
1267939507175618 ~1982
126794325358877 ~1979
1268053278971678 ~1981
1268093380427918 ~1982
1268261913147938 ~1982
126827925365597 ~1979
1268291101463298 ~1980
126835776101437 ~1980
1268429989374638 ~1983
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