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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
7044553422673198 ~1986
7044623140892478 ~1984
7044731140894638 ~1984
7044731563578498
7044959140899198 ~1984
7045037422702238 ~1986
7045109563608738 ~1986
7045453422727198 ~1986
7045601422736078 ~1986
7045697563655778 ~1986
7045877422752638 ~1986
7045991140919838 ~1984
7045991563679298
70461072395676399 ~1987
7046387563710978 ~1986
7046411140928238 ~1984
70465213241399679 ~1988
7046573422794398 ~1986
7046723140934478 ~1984
7046737422804238 ~1986
70467371127477939
70467914650882079 ~1988
70469271268446879 ~1987
7046987563758978 ~1986
7046999140939998 ~1984
Exp. Prime Factor Digits Year
7047011140940238 ~1984
7047179140943598 ~1984
7047301422838078 ~1986
70475591691414179 ~1987
7047701563816098 ~1986
70478512255312339 ~1987
7047863140957278 ~1984
7048697422921838 ~1986
7048781422926878 ~1986
7048781563902498
7048799140975998 ~1984
7048859140977198 ~1984
7049039140980798 ~1984
70491731550818079 ~1987
7049219140984398 ~1984
7049401422964078 ~1986
7049453422967198 ~1986
7049501422970078 ~1986
7049621422977278 ~1986
7049717422983038 ~1986
70497734511854739 ~1988
70500674653044239 ~1988
7050107564008578 ~1986
7050623141012478 ~1984
7050889112814224110 ~1989
Exp. Prime Factor Digits Year
7050931705093118 ~1986
7051091141021838 ~1984
7051157564092578 ~1986
7051211141024238 ~1984
7051283141025678 ~1984
70512835217949439
7051391141027838 ~1984
7051469564117538 ~1986
70515672820626819 ~1988
7052113423126798 ~1986
70523338462799619 ~1989
7052351141047038 ~1984
7052411141048238 ~1984
7052483141049678 ~1984
7052483750384191310
70524974936747919 ~1988
70525571128409139 ~1987
70531972680214879 ~1988
70531977335324899
7053323141066478 ~1984
7053329987466078 ~1987
7053437423206238 ~1986
7053443141068878 ~1984
7053493423209598 ~1986
7053551141071038 ~1984
Exp. Prime Factor Digits Year
7053703705370318 ~1986
7053877423232638 ~1986
7053899141077998 ~1984
7054891705489118 ~1986
7055003141100078 ~1984
7055159141103198 ~1984
7055177564414178 ~1986
7055291141105838 ~1984
7055353423321198 ~1986
7055819141116398 ~1984
7055933423355998 ~1986
7056017564481378 ~1986
7056061423363678 ~1986
7056121423367278 ~1986
7056197987867598 ~1987
7056281564502498 ~1986
7056383141127678 ~1984
7056593423395598 ~1986
7056701156658762310 ~1989
7056719141134398 ~1984
70571335081135779 ~1988
7057291705729118 ~1986
7057373988032238 ~1987
7057793988091038 ~1987
7057811141156238 ~1984
833
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25-05-04