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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
658383779131676755910 ~2000
658404503131680900710 ~2000
658440539131688107910 ~2000
658466617395079970310 ~2001
658497299131699459910 ~2000
658512733395107639910 ~2001
658577357922008299910 ~2002
658577407658577407110 ~2002
658601771131720354310 ~2000
658607063131721412710 ~2000
658609943131721988710 ~2000
658628363131725672710 ~2000
658646531131729306310 ~2000
658666091131733218310 ~2000
658690523131738104710 ~2000
658698791131739758310 ~2000
658722023131744404710 ~2000
658739759131747951910 ~2000
658742159131748431910 ~2000
658771271131754254310 ~2000
658801823131760364710 ~2000
658804703131760940710 ~2000
658844807527075845710 ~2001
658867523131773504710 ~2000
658885693395331415910 ~2001
Exponent Prime Factor Digits Year
658895351131779070310 ~2000
658896101527116880910 ~2001
658907159131781431910 ~2000
658909259131781851910 ~2000
658910663131782132710 ~2000
658919843131783968710 ~2000
658927331131785466310 ~2000
658932539131786507910 ~2000
658948259131789651910 ~2000
6589706232240500118311 ~2003
659009723131801944710 ~2000
659031491131806298310 ~2000
659039411131807882310 ~2000
659061509527249207310 ~2001
659068103131813620710 ~2000
659080679131816135910 ~2000
659086163131817232710 ~2000
659099123131819824710 ~2000
659108951131821790310 ~2000
659173693395504215910 ~2001
659183639131836727910 ~2000
659190179131838035910 ~2000
6592064411977619323111 ~2003
659243219131848643910 ~2000
659247971131849594310 ~2000
Exponent Prime Factor Digits Year
659274503131854900710 ~2000
659279963131855992710 ~2000
659290403131858080710 ~2000
659301971131860394310 ~2000
659317391131863478310 ~2000
6593317211054930753711 ~2002
659338763131867752710 ~2000
659353031131870606310 ~2000
659370611131874122310 ~2000
659400503131880100710 ~2000
659428613395657167910 ~2001
659449523131889904710 ~2000
6594591831714593875911 ~2003
6594917693165560491311 ~2003
659547731527638184910 ~2001
6595869531978760859111 ~2003
659601251131920250310 ~2000
659607671131921534310 ~2000
659608991131921798310 ~2000
659609243131921848710 ~2000
659610071131922014310 ~2000
6596331973034312706311 ~2003
659669519131933903910 ~2000
659685683131937136710 ~2000
659689619131937923910 ~2000
Exponent Prime Factor Digits Year
659702339131940467910 ~2000
659707019131941403910 ~2000
659724239131944847910 ~2000
659749873395849923910 ~2001
659759459131951891910 ~2000
659787239131957447910 ~2000
659813243131962648710 ~2000
659870747527896597710 ~2001
659875039659875039110 ~2002
659883131131976626310 ~2000
659935973395961583910 ~2001
659978303131995660710 ~2000
659983697395990218310 ~2001
660041219528032975310 ~2001
660050459132010091910 ~2000
660051793396031075910 ~2001
660076271132015254310 ~2000
660086711132017342310 ~2000
660119353396071611910 ~2001
660122363132024472710 ~2000
660133091132026618310 ~2000
660165179132033035910 ~2000
660180803132036160710 ~2000
660188351132037670310 ~2000
6601983371584476008911 ~2003
3402
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25-07-20