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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
747938214487629279 ~1994
747941991495883999 ~1992
747959214487755279 ~1994
747984414487906479 ~1994
747985191495970399 ~1992
747999711495999439 ~1992
748009315984074499 ~1994
748011591496023199 ~1992
748019391496038799 ~1992
748020111496040239 ~1992
748020614488123679 ~1994
748023231496046479 ~1992
748025991496051999 ~1992
748035831496071679 ~1992
748039791496079599 ~1992
748053591496107199 ~1992
748059111496118239 ~1992
748066431496132879 ~1992
748068711496137439 ~1992
748068831496137679 ~1992
748071711496143439 ~1992
748094334488565999 ~1994
748106631496213279 ~1992
748126911496253839 ~1992
748130991496261999 ~1992
Exponent Prime Factor Digits Year
748151991496303999 ~1992
748152711496305439 ~1992
748159311496318639 ~1992
748162934488977599 ~1994
748193511496387039 ~1992
748198191496396399 ~1992
748206711496413439 ~1992
748214934489289599 ~1994
748240911496481839 ~1992
748256511496513039 ~1992
748277991496555999 ~1992
748285311496570639 ~1992
748314231496628479 ~1992
748333311496666639 ~1992
748334334490005999 ~1994
748370391496740799 ~1992
748379934490279599 ~1994
748396431496792879 ~1992
74841773104778482310 ~1995
74841901164652182310 ~1995
748433391496866799 ~1992
748445511496891039 ~1992
74845387119752619310 ~1995
748477911496955839 ~1992
748481391496962799 ~1992
Exponent Prime Factor Digits Year
748489191496978399 ~1992
748494711496989439 ~1992
748518831497037679 ~1992
748551895988415139 ~1994
748558431497116879 ~1992
748594374491566239 ~1994
748660397486603919 ~1994
748687334492123999 ~1994
748697991497395999 ~1992
748701711497403439 ~1992
748719711497439439 ~1992
748736631497473279 ~1992
748757391497514799 ~1992
748780191497560399 ~1992
748807911497615839 ~1992
748810431497620879 ~1992
748827614492965679 ~1994
748833231497666479 ~1992
748865991497731999 ~1992
748887711497775439 ~1992
748893414493360479 ~1994
748929591497859199 ~1992
748932711497865439 ~1992
74896697404442163910 ~1996
748982031497964079 ~1992
Exponent Prime Factor Digits Year
74898721119837953710 ~1995
74898961119838337710 ~1995
749003395992027139 ~1994
749012414494074479 ~1994
74901851134823331910 ~1995
749018991498037999 ~1992
749023975992191779 ~1994
749038311498076639 ~1992
749038614494231679 ~1994
749068014494408079 ~1994
749078574494471439 ~1994
749096934494581599 ~1994
749109711498219439 ~1992
749116191498232399 ~1992
749125431498250879 ~1992
749129334494775999 ~1994
749134791498269599 ~1992
749139831498279679 ~1992
749152374494914239 ~1994
74918897104886455910 ~1995
749189991498379999 ~1992
749193711498387439 ~1992
749204631498409279 ~1992
749212791498425599 ~1992
749223111498446239 ~1992
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25-05-04