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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
2211109486443998 ~1983
221117944223597 ~1981
22112271105613519 ~1984
22112271459409839
221126344225277 ~1981
2211367398046078 ~1983
2211373530729538 ~1983
2211541132692478 ~1982
2211541486539038
221156344231277 ~1981
2211667398100078 ~1983
2211793486594478 ~1983
2211941176955298 ~1982
2212229530934978 ~1983
2212241176979298 ~1982
22123331415893139 ~1984
22123911061947699 ~1984
2212519398253438 ~1983
221257144251437 ~1981
2212967177037378 ~1982
2213053531132738 ~1983
2213069177045538 ~1982
2213201177056098 ~1982
22132931549305119 ~1984
2213389486945598 ~1983
Exp. Prime Factor Digits Year
221342344268477 ~1981
2213441132806478 ~1982
2213537177082978 ~1982
2213593531262338 ~1983
221375944275197 ~1981
2213891398500398 ~1983
2213963575630398 ~1983
2213971354235378 ~1983
221401144280237 ~1981
2214161132849678 ~1982
2214169531400578 ~1983
2214319752868478 ~1984
2214343354294898 ~1983
2214599177167938 ~1982
221473144294637 ~1981
221479144295837 ~1981
22149293721080739 ~1985
2214959177196738 ~1982
2215133310118638 ~1983
2215277531666498 ~1983
2215573122299629710 ~1987
2215651354504178 ~1983
22157931595370979 ~1984
2215943930696078 ~1984
2216153709168978 ~1983
Exp. Prime Factor Digits Year
2216237177298978 ~1982
2216317132979038 ~1982
2216321177305698 ~1982
2216399398951838 ~1983
2216413132984798 ~1982
221647144329437 ~1981
2216657310331998 ~1983
2216659221665918 ~1982
221669944333997 ~1981
221675944335197 ~1981
2216897177351778 ~1982
2216897310365598
2216917886766818 ~1984
221699944339997 ~1981
2217029177362338 ~1982
2217101133026078 ~1982
2217101177368098
2217233133033998 ~1982
221725144345037 ~1981
2217757133065438 ~1982
2217757532261698
221777944355597 ~1981
2217881177430498 ~1982
2217967221796718 ~1982
221809144361837 ~1981
Exp. Prime Factor Digits Year
221828344365677 ~1981
221831944366397 ~1981
2218319532396578
2218331177466498 ~1982
221834344366877 ~1981
221843944368797 ~1981
2218439532425378
221845144369037 ~1981
22184511064856499
2218523576815998 ~1983
2218561133113678 ~1982
2218561354969778
22186131242423299 ~1984
221869144373837 ~1981
2218871177509698 ~1982
221888344377677 ~1981
2218903355024498 ~1983
2218999221899918 ~1982
22190235325655219 ~1986
221903944380797 ~1981
221911144382237 ~1981
22191172441028719 ~1985
2219137133148238 ~1982
221927944385597 ~1981
221935144387037 ~1981
409
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25-05-04