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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
2787299501713838 ~1984
2787409836222718 ~1984
278744355748877 ~1981
2787461167247678 ~1983
278750355750077 ~1981
2787503724750798
2787557167253438 ~1983
2787557223004578
2787769669064578 ~1984
2787977167278638 ~1983
278819955763997 ~1981
2788301223064098 ~1983
2788531278853118 ~1983
278861955772397 ~1981
2788619223089538
2788627501952878 ~1984
2788829669318978 ~1984
278897955779597 ~1981
278906355781277 ~1981
2789117167347038 ~1983
27894593570507539 ~1986
2789477223158178 ~1983
2789483669475938 ~1984
2789729223178338 ~1983
2789777167386638 ~1983
Exp. Prime Factor Digits Year
278993955798797 ~1981
2790209390629278 ~1983
2790311725480878 ~1984
2790421167425278 ~1983
2790497167429838 ~1983
2790647725568238 ~1984
2790883279088318 ~1983
2791093167465598 ~1983
2791109390755278 ~1983
2791469223317538 ~1983
27915411563262979 ~1985
27915491116619619 ~1985
279155955831197 ~1981
2791561614143438 ~1984
2791783279178318 ~1983
2791799502523838 ~1984
2791837167510238 ~1983
2791849614206798 ~1984
2791963670071138 ~1984
279197955839597 ~1981
279209955841997 ~1981
279217155843437 ~1981
2792249223379938 ~1983
2792261223380898 ~1983
279235155847037 ~1981
Exp. Prime Factor Digits Year
279242355848477 ~1981
2792423893575378
2792459223396738 ~1983
2792617167557038 ~1983
279271155854237 ~1981
2792717670252098 ~1984
2792767279276718 ~1983
279277155855437 ~1981
2792771726120478
279283155856637 ~1981
2792861223428898 ~1983
2792891223431298 ~1983
2792897167573838 ~1983
2793101223448098 ~1983
2793181167590878 ~1983
2793319502797438 ~1984
2793341223467298 ~1983
279335955867197 ~1981
2793359223468738
279338355867677 ~1981
2793481446956978 ~1984
2793647223491778 ~1983
27937311340990899 ~1985
27938114972983599 ~1986
2793853167631198 ~1983
Exp. Prime Factor Digits Year
279391155878237 ~1981
2794019502923438 ~1984
2794189670605378 ~1984
2794243447078898 ~1984
2794301167658078 ~1983
279433155886637 ~1981
2794331223546498
2794747279474718 ~1983
2794807447169138 ~1984
27949631117985219 ~1985
2795003670800738 ~1984
2795237167714238 ~1983
279529155905837 ~1981
279539955907997 ~1981
2795417838625118 ~1984
2795423726809998 ~1984
279545955909197 ~1981
2795501167730078 ~1983
2795557167733438 ~1983
2795621167737278 ~1983
2795777223662178 ~1983
279620355924077 ~1981
2796337167780238 ~1983
27963612013379939 ~1985
2796397167783838 ~1983
491
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26-04-05