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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
23014216443978819
2301473322206238 ~1983
2301491736477138 ~1984
230150346030077 ~1981
2301581138094878 ~1982
230177946035597 ~1981
2301977690593118 ~1984
23021512256107999 ~1985
23023312072097919 ~1985
230237946047597 ~1981
230245146049037 ~1981
2302453138147198 ~1982
2302481690744318 ~1984
230251146050237 ~1981
2302537368405938 ~1983
2302543782864638 ~1984
2302579230257918 ~1982
2302757322385998 ~1983
2303117322436398 ~1983
230315946063197 ~1981
2303297184263778 ~1982
2303321690996318 ~1984
2303471414624798 ~1983
2303501184280098 ~1982
2303597138215838 ~1982
Exp. Prime Factor Digits Year
2303597322503598
230366346073277 ~1981
2303783552907938 ~1983
2304059184324738 ~1982
2304139230413918 ~1982
23043731613061119 ~1984
2304461184356898 ~1982
230447946089597 ~1981
23045531060094399 ~1984
2304581138274878 ~1982
2305169322723678 ~1983
2305301184424098 ~1982
2305483368877298 ~1983
2305487414987678 ~1983
2305613737796178 ~1984
2305627368900338 ~1983
230564346112877 ~1981
230588346117677 ~1981
2305949184475938 ~1982
2305987553436898 ~1983
23060532767263619 ~1985
230615946123197 ~1981
2306179230617918 ~1982
2306393322895038 ~1983
2306531415175598 ~1983
Exp. Prime Factor Digits Year
230665146133037 ~1981
2306737138404238 ~1982
2306897553655298 ~1983
23069816413407199 ~1986
2307031415265598 ~1983
230705946141197 ~1981
2307127784423198 ~1984
2307181138430878 ~1982
2307289553749378 ~1983
230741946148397 ~1981
2307469507643198 ~1983
230747946149597 ~1981
2307479553794978
2307601138456078 ~1982
230761146152237 ~1981
2307703230770318 ~1982
230798346159677 ~1981
2308051969381438 ~1984
2308181184654498 ~1982
2308223969453678 ~1984
230839146167837 ~1981
2308417138505038 ~1982
2308483369357298 ~1983
2308543230854318 ~1982
2308589184687138 ~1982
Exp. Prime Factor Digits Year
230867946173597 ~1981
2308907415603278 ~1983
230891946178397 ~1981
2309023554165538 ~1983
230912346182477 ~1981
2309327415678878 ~1983
2309477184758178 ~1982
230951946190397 ~1981
230975946195197 ~1981
2309761138585678 ~1982
2309789554349378 ~1983
2310233138613998 ~1982
2310421508292638 ~1983
23104311663510339 ~1984
23104496792720079 ~1986
2310479138628740110 ~1987
2310547369687538 ~1983
2310667369706738 ~1983
2310677554562498 ~1983
2310731739433938 ~1984
2310733369717298 ~1983
2310733554575938
2310751970515438 ~1984
231091146218237 ~1981
2310911184872898
420
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25-05-04