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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
5289913599876134310
5290079105801598 ~1984
5290163105803278 ~1984
5290199105803998 ~1984
5290361317421678 ~1985
5290561317433678 ~1985
52906615819727119 ~1988
5290679105813598 ~1984
5290717317443038 ~1985
5290913317454798 ~1985
5290997317459838 ~1985
5291399105827998 ~1984
5291599529159918 ~1985
5291719529171918 ~1985
5291837317510238 ~1985
5291939105838798 ~1984
5292071105841438 ~1984
5292367529236718 ~1985
5292641423411298 ~1985
5292671105853438 ~1984
5292809423424738 ~1985
5293291529329118 ~1985
5293439105868798 ~1984
5293619423489538 ~1985
5293621317617278 ~1985
Exp. Prime Factor Digits Year
5293679105873598 ~1984
5293709423496738 ~1985
5293829741136078 ~1986
5294111105882238 ~1984
5294231105884638 ~1984
52944891588346719 ~1986
5294543105890878 ~1984
52945432964944099
5294587953025678 ~1986
5294717423577378 ~1985
5294759105895198 ~1984
5294771105895438 ~1984
5295239105904798 ~1984
52953432224044079 ~1987
5295431105908638 ~1984
52955271376837039 ~1986
5295599105911998 ~1984
5295599953207838
5295659105913198 ~1984
5295809423664738 ~1985
5295827423666178 ~1985
5296037317762238 ~1985
5296211105924238 ~1984
52964932966036099 ~1987
5296619105932398 ~1984
Exp. Prime Factor Digits Year
5296631105932638 ~1984
5296751105935038 ~1984
5296787953421678 ~1986
52967991271231779 ~1986
5296817423745378 ~1985
5296859105937198 ~1984
5297339105946798 ~1984
5297419529741918 ~1985
5297519423801538 ~1985
5297563529756318 ~1985
5297597423807778 ~1985
5297681317860878 ~1985
5297717317863038 ~1985
5297893317873598 ~1985
5297917253240432710 ~1989
5297939423835138 ~1985
52982691271584579 ~1986
52982692543169139
5298479423878338 ~1985
5298563105971278 ~1984
5298719105974398 ~1984
5298823529882318 ~1985
52988893391288979 ~1987
5299501847920178 ~1986
5299649423971938 ~1985
Exp. Prime Factor Digits Year
5299649741950878
5299919105998398 ~1984
53002991802101679 ~1987
5300423106008478 ~1984
5300579424046338 ~1985
5300623530062318 ~1985
5300831106016638 ~1984
5300993318059598 ~1985
5301071106021438 ~1984
53013016361561219 ~1988
5301311106026238 ~1984
5301313318078798 ~1985
53013491590404719 ~1986
5301533742214638 ~1986
5301547530154718 ~1985
5302091106041838 ~1984
5302103106042078 ~1984
5302151424172098 ~1985
5302163106043278 ~1984
5302307424184578 ~1985
5302327954418878 ~1986
5302573318154398 ~1985
5302763106055278 ~1984
5302987848477938 ~1986
5302991106059838 ~1984
731
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26-03-15