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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
54938117141954319
5493857329631438 ~1985
5493863109877278 ~1984
5494109439528738 ~1985
5494183154935960710 ~1989
5494277439542178 ~1985
5494787439582978 ~1985
5495053329703198 ~1985
5495159109903198 ~1984
5495173329710398 ~1985
5495509105513772910 ~1988
5495591439647298 ~1985
5495603109912078 ~1984
5495933769430638 ~1986
5496059109921198 ~1984
54962231319093539 ~1986
5496251109925038 ~1984
5496299109925998 ~1984
5496397329783838 ~1985
5496587439726978 ~1985
5496587145109896910
5496779109935598 ~1984
5496983109939678 ~1984
5497031109940638 ~1984
5497091109941838 ~1984
Exp. Prime Factor Digits Year
5497223109944478 ~1984
5497301329838078 ~1985
5497301439784098
5497643109952878 ~1984
5497711879633778 ~1986
5497799109955998 ~1984
5497949439835938 ~1985
5497979439838338 ~1985
5498083541011367310 ~1990
5498189769746478 ~1986
5498279439862338 ~1985
5498411109968238 ~1984
54984131319619139 ~1986
5498431989717598 ~1986
54987831429683599 ~1986
5498819439905538 ~1985
54989171649675119 ~1987
54989172639480179
5498963109979278 ~1984
5499233329953998 ~1985
5499437769921198 ~1986
5499779109995598 ~1984
5499913879986098 ~1986
5499941329996478 ~1985
5500247440019778 ~1985
Exp. Prime Factor Digits Year
55003212530147679 ~1987
5500811110016238 ~1984
55008191870278479 ~1987
5500871110017438 ~1984
5500871440069698
55010031760320979 ~1987
5501017130924204710 ~1989
5501533330091998 ~1985
5501707550170718 ~1985
5501801330108078 ~1985
5501819110036398 ~1984
5502239110044798 ~1984
5502377330142638 ~1985
5502617440209378 ~1985
5502671498541992710 ~1990
5502857330171438 ~1985
5503021330181278 ~1985
5503229440258338 ~1985
5503297330197838 ~1985
5503499110069998 ~1984
5503541440283298 ~1985
5503859110077198 ~1984
5503907440312578 ~1985
5504333770606638 ~1986
5504363110087278 ~1984
Exp. Prime Factor Digits Year
5504563880730098 ~1986
5504581330274878 ~1985
5504647880743538 ~1986
5504671550467118 ~1985
5505001330300078 ~1985
5505139550513918 ~1985
55051671321240099 ~1986
5505191110103838 ~1984
5505239110104798 ~1984
5505299110105998 ~1984
5505301330318078 ~1985
5505317330319038 ~1985
5505343880854898 ~1986
5505371110107438 ~1984
5505527763066042310 ~1991
5505551110111038 ~1984
55056971651709119 ~1987
5505743110114878 ~1984
55057433083216099
5506103110122078 ~1984
55061413854298719 ~1987
5506271110125438 ~1984
5506421330385278 ~1985
5506507991171278 ~1986
5506811110136238 ~1984
740
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25-12-14