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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
5819293349157598 ~1985
5819543116390878 ~1984
5819557349173438 ~1985
58196472327858819 ~1987
5819773931163698 ~1986
5820041465603298 ~1985
5820233349213998 ~1985
5820421349225278 ~1985
5820481349228878 ~1985
5820583582058318 ~1986
5820623116412478 ~1984
5820673931307698 ~1986
5820959116419198 ~1984
5820977465678178 ~1985
5821019116420398 ~1984
5821037349262238 ~1985
5821229465698338 ~1985
5821289465703138 ~1985
5821289310856832710
5821853349311198 ~1985
5821919116438398 ~1984
5821979465758338 ~1985
5822111116442238 ~1984
5822137349328238 ~1985
5822147465771778 ~1985
Exp. Prime Factor Digits Year
5822471465797698 ~1985
5822567465805378 ~1985
5823019582301918 ~1986
5823149465851938 ~1985
58232392795154739 ~1987
5823341349400478 ~1985
5823563116471278 ~1984
5823659116473198 ~1984
5823869465909538 ~1985
5824211116484238 ~1984
5824277349456638 ~1985
5824417349465038 ~1985
58244995708009039 ~1988
5824631116492638 ~1984
5824649465971938 ~1985
5824739116494798 ~1984
5824789163094092110 ~1989
58248131281458879 ~1986
5824979116499598 ~1984
5825297466023778 ~1985
5825431582543118 ~1986
5825591466047298 ~1985
5825653932104498 ~1986
5825843116516878 ~1984
5826133349567998 ~1985
Exp. Prime Factor Digits Year
5826259582625918 ~1986
5826311116526238 ~1984
5826451582645118 ~1986
5826497349589838 ~1985
5826599116531998 ~1984
5827103116542078 ~1984
5827177349630638 ~1985
58273433263312099 ~1987
5827439116548798 ~1984
5827511116550238 ~1984
5827823116556478 ~1984
5828233349693998 ~1985
5828309466264738 ~1985
58283691398808579 ~1986
5828567466285378 ~1985
58285671049142079
5828917349735038 ~1985
5828941349736478 ~1985
58290011282380239 ~1986
5829041466323298 ~1985
5829119116582398 ~1984
58291192914559519
58291271398990499 ~1986
58291371398992899 ~1986
5829391932702578 ~1986
Exp. Prime Factor Digits Year
5829533349771998 ~1985
58298392914919519 ~1987
5829911466392898 ~1985
5829973349798398 ~1985
5830061349803678 ~1985
5830393349823598 ~1985
5830403116608078 ~1984
5830613349836798 ~1985
58306911049524399 ~1986
5830703116614078 ~1984
58308371749251119 ~1987
5830919466473538 ~1985
5830921349855278 ~1985
5830987583098718 ~1986
5831009466480738 ~1985
58310571399453699 ~1986
5831183116623678 ~1984
5831261349875678 ~1985
58313875248248319 ~1988
5831513349890798 ~1985
5831519116630398 ~1984
58316591049698639 ~1986
5832257466580578 ~1985
5832461349947678 ~1985
5832503116650078 ~1984
773
GIMPS The Prime Pages FactorDb.com
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26-03-08