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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
45836575998250583678311 ~2009
4583730023916746004710 ~2006
4584103319916820663910 ~2006
4584285131916857026310 ~2006
45844750332750685019911 ~2008
4584663383916932676710 ~2006
458466643922006398907312 ~2010
4584783503916956700710 ~2006
45849844212750990652711 ~2008
4585063739917012747910 ~2006
4585074419917014883910 ~2006
4585137083917027416710 ~2006
4585158443917031688710 ~2006
4585159499917031899910 ~2006
458546644311005119463312 ~2009
4585836719917167343910 ~2006
4585973999917194799910 ~2006
45860170313668813624911 ~2008
45861501314586150131111 ~2008
4586203091917240618310 ~2006
4586272331917254466310 ~2006
4586377391917275478310 ~2006
45866857394586685739111 ~2008
45867505493669400439311 ~2008
4586788883917357776710 ~2006
Exponent Prime Factor Digits Year
45868023914586802391111 ~2008
45868565532752113931911 ~2008
4587067811917413562310 ~2006
45870706034587070603111 ~2008
45873253612752395216711 ~2008
4587840143917568028710 ~2006
4587960491917592098310 ~2006
458814877926611262918312 ~2010
4588152011917630402310 ~2006
4588161719917632343910 ~2006
4588278731917655746310 ~2006
4588328039917665607910 ~2006
4588682303917736460710 ~2006
4589108159917821631910 ~2006
4589507339917901467910 ~2006
4589727491917945498310 ~2006
4590180719918036143910 ~2006
459021076943147981228712 ~2011
45902493176426349043911 ~2009
4590260399918052079910 ~2006
4590503111918100622310 ~2006
4590709379918141875910 ~2006
45908670413672693632911 ~2008
4590899471918179894310 ~2006
4590912299918182459910 ~2006
Exponent Prime Factor Digits Year
4591066439918213287910 ~2006
4591133411918226682310 ~2006
4591170803918234160710 ~2006
4591551983918310396710 ~2006
4591587491918317498310 ~2006
4591849403918369880710 ~2006
4592052863918410572710 ~2006
4592196551918439310310 ~2006
45928722593674297807311 ~2008
4593192203918638440710 ~2006
4593199283918639856710 ~2006
4593359423918671884710 ~2006
45933656873674692549711 ~2008
45935801573674864125711 ~2008
45936028634593602863111 ~2008
4593739019918747803910 ~2006
45938104613675048368911 ~2008
459400027313782000819112 ~2009
4594013423918802684710 ~2006
4594047863918809572710 ~2006
4594081703918816340710 ~2006
4594219211918843842310 ~2006
4594444331918888866310 ~2006
4594581599918916319910 ~2006
4594680059918936011910 ~2006
Exponent Prime Factor Digits Year
4594725731918945146310 ~2006
4594923743918984748710 ~2006
4595018243919003648710 ~2006
4595185403919037080710 ~2006
4595323511919064702310 ~2006
45954799073676383925711 ~2008
4595700671919140134310 ~2006
4595809103919161820710 ~2006
45958661278272559028711 ~2009
4596036239919207247910 ~2006
4596058871919211774310 ~2006
4596131219919226243910 ~2006
45965634012757938040711 ~2008
4596898283919379656710 ~2006
45969833332758189999911 ~2008
4597109483919421896710 ~2006
4597251203919450240710 ~2006
4597309763919461952710 ~2006
45973838932758430335911 ~2008
459762623380918221700912 ~2011
4597724039919544807910 ~2006
4597744499919548899910 ~2006
4597878731919575746310 ~2006
45981318972758879138311 ~2008
45981752772758905166311 ~2008
4374
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25-12-14