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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
3512819281025538
3512849281027938 ~1984
3512981210778878 ~1983
3513017843124098 ~1985
3513121210787278 ~1983
3513329491866078 ~1984
351337170267437 ~1982
3513403351340318 ~1984
3513481210808878 ~1983
3513481562156978
3513527281082178 ~1984
3513593210815598 ~1983
3513701210822078 ~1983
3514547281163778 ~1984
3514649492050878 ~1984
351473970294797 ~1982
351479970295997 ~1982
351485970297197 ~1982
3514939632689038 ~1984
3515167351516718 ~1984
3515669281253538 ~1984
35157131054713919 ~1985
351578370315677 ~1982
3515783843787938
351581970316397 ~1982
Exp. Prime Factor Digits Year
3515833210949998 ~1983
351590370318077 ~1982
3516367562618738 ~1984
3516389281311138 ~1984
351659970331997 ~1982
35167492743064239 ~1986
351692370338477 ~1982
3517313211038798 ~1983
35173871406954819 ~1985
3517421211045278 ~1983
3517573211054398 ~1983
3517693211061598 ~1983
3517879351787918 ~1984
3517883914649598 ~1985
3517901211074078 ~1983
3518017211081038 ~1983
3518209774005998 ~1985
3518321211099278 ~1983
3518327914765038 ~1985
3518597492603598 ~1984
3518623351862318 ~1984
3518651633357198 ~1984
3518777281502178 ~1984
351893970378797 ~1982
3518981211138878 ~1983
Exp. Prime Factor Digits Year
351908370381677 ~1982
3519239281539138 ~1984
351931170386237 ~1982
351947970389597 ~1982
3519479281558338
351962370392477 ~1982
351986370397277 ~1982
352009170401837 ~1982
3520201211212078 ~1983
35205072253124499 ~1986
3520667281653378 ~1984
3520669774547198 ~1985
35206691901161279
352073970414797 ~1982
35209271197115199 ~1985
3521083352108318 ~1984
3521117492956398 ~1984
352118370423677 ~1982
3521281563404978 ~1984
3521537493015198 ~1984
352172370434477 ~1982
3522191281775298 ~1984
352247970449597 ~1982
352250370450077 ~1982
35227631409105219 ~1985
Exp. Prime Factor Digits Year
3522817211369038 ~1983
3523519352351918 ~1984
35240772466853919 ~1986
3524197211451838 ~1983
3524309281944738 ~1984
3524537211472238 ~1983
3524537281962978
3524537493435198
3524567281965378 ~1984
3524767352476718 ~1984
3525043352504318 ~1984
352514370502877 ~1982
35252293313715279 ~1986
352529970505997 ~1982
352531170506237 ~1982
352547970509597 ~1982
352549170509837 ~1982
3525497282039778 ~1984
352555170511037 ~1982
3525563844019782310 ~1990
352580370516077 ~1982
3525803846192738
3525961564153778 ~1984
352616370523277 ~1982
3526181282094498 ~1984
572
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26-05-03