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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.
Exponent Prime Factor Digits Year
577444139115488827910 ~1999
577461971115492394310 ~1999
577474679115494935910 ~1999
577487621346492572710 ~2001
577497983115499596710 ~1999
577506521462005216910 ~2001
577521299115504259910 ~1999
5775251811732575543111 ~2002
577542481346525488710 ~2001
577550009462040007310 ~2001
577550507462040405710 ~2001
577566383115513276710 ~1999
577583063115516612710 ~1999
577591517346554910310 ~2001
577598891115519778310 ~1999
577606511115521302310 ~1999
577610543115522108710 ~1999
577612493346567495910 ~2001
577619219115523843910 ~1999
577620031924192049710 ~2002
577622231115524446310 ~1999
577649867462119893710 ~2001
577663993346598395910 ~2001
577674143115534828710 ~1999
577682999115536599910 ~1999
Exponent Prime Factor Digits Year
577687093346612255910 ~2001
577731659115546331910 ~1999
577737071115547414310 ~1999
577762151115552430310 ~1999
577763051115552610310 ~1999
577774871115554974310 ~1999
577774919115554983910 ~1999
577786679115557335910 ~1999
577788863115557772710 ~1999
577794851115558970310 ~1999
577811183115562236710 ~1999
5778165179707317485711 ~2004
577819213346691527910 ~2001
577819439115563887910 ~1999
577824491115564898310 ~1999
577824539462259631310 ~2001
577833803115566760710 ~1999
577849763115569952710 ~1999
577873493809022890310 ~2002
577882933346729759910 ~2001
577886999115577399910 ~1999
577920503115584100710 ~1999
577932893346759735910 ~2001
577933801924694081710 ~2002
577941017462352813710 ~2001
Exponent Prime Factor Digits Year
577961159115592231910 ~1999
577963801346778280710 ~2001
577974599115594919910 ~1999
577994771115598954310 ~1999
577997053346798231910 ~2001
578000723115600144710 ~1999
578013599115602719910 ~1999
578019203115603840710 ~1999
578038739115607747910 ~1999
578050631115610126310 ~1999
578069951115613990310 ~1999
578091329462473063310 ~2001
578100013924960020910 ~2002
578118119115623623910 ~1999
578157791115631558310 ~1999
578164199115632839910 ~1999
578174843115634968710 ~1999
578176073346905643910 ~2001
578187899115637579910 ~1999
578200031462560024910 ~2001
578205659462564527310 ~2001
578213591115642718310 ~1999
578214971115642994310 ~1999
578343761347006256710 ~2001
578346071115669214310 ~1999
Exponent Prime Factor Digits Year
578350517347010310310 ~2001
5783560811272383378311 ~2002
578359501347015700710 ~2001
578364517347018710310 ~2001
578380343115676068710 ~1999
578384399115676879910 ~1999
578391181347034708710 ~2001
578401919115680383910 ~1999
578404133347042479910 ~2001
578410919115682183910 ~1999
578413103115682620710 ~1999
578417657347050594310 ~2001
578430449462744359310 ~2001
578437493347062495910 ~2001
578458343115691668710 ~1999
578463299115692659910 ~1999
5784707212198188739911 ~2003
578535983115707196710 ~1999
578539337462831469710 ~2001
578584211115716842310 ~1999
578584807578584807110 ~2001
578586161347151696710 ~2001
578586773347152063910 ~2001
578593397347156038310 ~2001
5785951374975918178311 ~2003
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25-11-02