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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
72750193492009139 ~1988
7275077436504638 ~1986
7275397436523838 ~1986
7275431145508638 ~1985
7275479145509598 ~1985
72754971018569599 ~1987
7275503145510078 ~1985
72755511309599199 ~1987
7275743145514878 ~1985
72760392910415619 ~1988
72764711164235379 ~1987
7276931145538638 ~1985
7277183145543678 ~1985
7277189582175138 ~1986
7277279582182338 ~1986
7277423145548478 ~1985
72775931164414899 ~1987
7277681436660878 ~1986
7277723145554478 ~1985
7277843145556878 ~1985
7278059145561198 ~1985
72782092765719439 ~1988
72782391310083039 ~1987
7278253436695198 ~1986
7278599145571998 ~1985
Exp. Prime Factor Digits Year
72785992329151699
7278613436716798 ~1986
7278857436731438 ~1986
7278917436735038 ~1986
7279199145583998 ~1985
7279241436754478 ~1986
7279253436755198 ~1986
7279333436759998 ~1986
7279439145588798 ~1985
7279763145595278 ~1985
7280137436808238 ~1986
7280183145603678 ~1985
7280549582443938 ~1986
7280579145611598 ~1985
72807311310531599 ~1987
7280737436844238 ~1986
7280831145616638 ~1985
7280951145619038 ~1985
7281077436864638 ~1986
7281203145624078 ~1985
7281247728124718 ~1986
7281277436876638 ~1986
7281943728194318 ~1986
7282217436933038 ~1986
7282621436957278 ~1986
Exp. Prime Factor Digits Year
7282679145653598 ~1985
7282739145654798 ~1985
7282811145656238 ~1985
7282811582624898
7282981436978878 ~1986
7283173436990398 ~1986
7283351145667038 ~1985
7283401437004078 ~1986
7283411145668238 ~1985
7283411582672898
72834171019678399 ~1987
7283657437019438 ~1986
7283741582699298 ~1986
7283777582702178 ~1986
7283833437029998 ~1986
7283891145677838 ~1985
7283999145679998 ~1985
7284131145682638 ~1985
7284197437051838 ~1986
7284443145688878 ~1985
7284493437069598 ~1986
72847491748339779 ~1987
7284971145699438 ~1985
72850491019906879 ~1987
7285081437104878 ~1986
Exp. Prime Factor Digits Year
72852191311339439 ~1987
7285391421095599910 ~1991
7285919582873538 ~1986
7286099145721998 ~1985
72861372914454819 ~1988
72863111165809779 ~1987
7286687582934978 ~1986
7287097437225838 ~1986
7287359145747198 ~1985
7287437437246238 ~1986
7287911145758238 ~1985
7288103145762078 ~1985
7288159728815918 ~1986
72881631749159139 ~1987
7288181437290878 ~1986
7288273437296398 ~1986
7288691145773838 ~1985
7288763145775278 ~1985
72888431166214899 ~1987
7289099145781998 ~1985
7289279145785598 ~1985
7289339145786798 ~1985
7289363145787278 ~1985
7289519145790398 ~1985
7289599153081579110 ~1990
870
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25-11-02