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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
52953432224044079 ~1987
5295431105908638 ~1984
52955271376837039 ~1986
5295599105911998 ~1984
5295599953207838
5295659105913198 ~1984
5295809423664738 ~1985
5295827423666178 ~1985
5296037317762238 ~1985
5296211105924238 ~1984
52964932966036099 ~1987
5296619105932398 ~1984
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
Exp. Prime Factor Digits Year
5297893317873598 ~1985
5297917253240432710 ~1989
5297939423835138 ~1985
52982691271584579 ~1986
52982692543169139
5298479423878338 ~1985
5298563105971278 ~1984
5298719105974398 ~1984
5298823529882318 ~1985
52988893391288979 ~1987
5299501847920178 ~1986
5299649423971938 ~1985
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
Exp. Prime Factor Digits Year
5301547530154718 ~1985
5302091106041838 ~1984
5302103106042078 ~1984
5302151424172098 ~1985
5302163106043278 ~1984
5302307424184578 ~1985
5302327954418878 ~1986
5302573318154398 ~1985
5302763106055278 ~1984
5302987848477938 ~1986
5302991106059838 ~1984
5303003106060078 ~1984
5303141318188478 ~1985
5303183106063678 ~1984
53032131697028179 ~1986
53033271272798499 ~1986
5303579106071598 ~1984
5303651424292098 ~1985
5303659530365918 ~1985
5303807424304578 ~1985
53038195515971779 ~1988
5303891106077838 ~1984
5303951106079038 ~1984
5304001318240078 ~1985
5304083106081678 ~1984
Exp. Prime Factor Digits Year
5304241318254478 ~1985
5304367530436718 ~1985
5304371106087438 ~1984
5304371424349698
5304571848731378 ~1986
5304581424366498 ~1985
5304839424387138 ~1985
5305033318301998 ~1985
53051511379339279 ~1986
5305451106109038 ~1984
5305481318328878 ~1985
5305697424455778 ~1985
5305747530574718 ~1985
5305799106115998 ~1984
5306531106130638 ~1984
5306627424530178 ~1985
5306783106135678 ~1984
5306963106139278 ~1984
5307073318424398 ~1985
5307083106141678 ~1984
5307509424600738 ~1985
5307563106151278 ~1984
5307719106154398 ~1984
5307781318466878 ~1985
5307803106156078 ~1984
720
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25-11-02