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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
3546874797093749599 ~1998
3546899997093799999 ~1998
354697687851274448910 ~2000
354700693212820415910 ~1999
3547019397094038799 ~1998
3547045611135054595311 ~2001
3547120197094240399 ~1998
3547150437094300879 ~1998
354715831354715831110 ~1999
354716633212829979910 ~1999
3547192197094384399 ~1998
3547197237094394479 ~1998
3547253637094507279 ~1998
3547262997094525999 ~1998
354732043354732043110 ~1999
3547339197094678399 ~1998
3547349517094699039 ~1998
3547424637094849279 ~1998
3547443597094887199 ~1998
354752197212851318310 ~1999
3547567917095135839 ~1998
3547572237095144479 ~1998
3547706517095413039 ~1998
354777013212866207910 ~1999
3547837437095674879 ~1998
Exponent Prime Factor Digits Year
354785477212871286310 ~1999
354796831354796831110 ~1999
3548064117096128239 ~1998
3548087637096175279 ~1998
3548130837096261679 ~1998
354829171638692507910 ~2000
3548340717096681439 ~1998
3548409717096819439 ~1998
3548516037097032079 ~1998
3548763117097526239 ~1998
354876793212926075910 ~1999
354888181567821089710 ~2000
354891811638805259910 ~2000
354892961212935776710 ~1999
354905401212943240710 ~1999
354917803567868484910 ~2000
3549245397098490799 ~1998
3549329517098659039 ~1998
3549352797098705599 ~1998
3549412317098824639 ~1998
354942799851862717710 ~2000
3549443637098887279 ~1998
3549460797098921599 ~1998
354949513212969707910 ~1999
3549519117099038239 ~1998
Exponent Prime Factor Digits Year
3549519837099039679 ~1998
3549662997099325999 ~1998
3549670317099340639 ~1998
354983459283986767310 ~1999
3549852837099705679 ~1998
355018949284015159310 ~1999
3550203117100406239 ~1998
3550231317100462639 ~1998
3550242597100485199 ~1998
3550289397100578799 ~1998
3550450797100901599 ~1998
3550468317100936639 ~1998
3550526997101053999 ~1998
3550592811349225267911 ~2001
3550918797101837599 ~1998
3551074917102149839 ~1998
355108297213064978310 ~1999
3551083437102166879 ~1998
3551152197102304399 ~1998
355123597213074158310 ~1999
3551379837102759679 ~1998
3551410437102820879 ~1998
3551471397102942799 ~1998
3551484837102969679 ~1998
355156937497219711910 ~2000
Exponent Prime Factor Digits Year
3551570397103140799 ~1998
3551578797103157599 ~1998
3551607597103215199 ~1998
3551658237103316479 ~1998
3551680917103361839 ~1998
3551774997103549999 ~1998
3551806917103613839 ~1998
3551998437103996879 ~1998
3552019437104038879 ~1998
3552127437104254879 ~1998
3552205437104410879 ~1998
3552251517104503039 ~1998
3552327717104655439 ~1998
3552346797104693599 ~1998
3552479397104958799 ~1998
3552511917105023839 ~1998
3552635637105271279 ~1998
355274251355274251110 ~1999
3552924717105849439 ~1998
3552947397105894799 ~1998
3552959397105918799 ~1998
355297427284237941710 ~1999
3553081197106162399 ~1998
3553136037106272079 ~1998
3553205997106411999 ~1998
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