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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 Dig. Year
71592217911431844358311 ~2008
71593925334295635519911 ~2009
71594796317159479631111 ~2010
71595544911431910898311 ~2008
71596339191431926783911 ~2008
71601712791432034255911 ~2008
71602741934296164515911 ~2009
716079583311457273332912 ~2010
71608350414296501024711 ~2009
71609914375728793149711 ~2009
71611286511432225730311 ~2008
71614679414296880764711 ~2009
71618845037161884503111 ~2010
716232016915757104371912 ~2011
71625010911432500218311 ~2008
71627623911432552478311 ~2008
71628681231432573624711 ~2008
71629153814297749228711 ~2009
71629773591432595471911 ~2008
71631068511432621370311 ~2008
71631239631432624792711 ~2008
71631303711432626074311 ~2008
71639058111432781162311 ~2008
71642687574298561254311 ~2009
71642773615731421888911 ~2009
Exponent Prime Factor Dig. Year
71643579534298614771911 ~2009
71643849591432876991911 ~2008
71650280991433005619911 ~2008
71650752591433015051911 ~2008
716554625310031764754312 ~2010
71660550231433211004711 ~2008
71660740614299644436711 ~2009
71662718031433254360711 ~2008
71663259895733060791311 ~2009
71665030791433300615911 ~2008
71665782711433315654311 ~2008
716663242368799671260912 ~2012
71669472831433389456711 ~2008
71670419391433408387911 ~2008
71674772631433495452711 ~2008
716749009187443379110312 ~2012
71676030111433520602311 ~2008
71677262391433545247911 ~2008
71677514391433550287911 ~2008
71678540031433570800711 ~2008
71684030031433680600711 ~2008
71684130895734730471311 ~2009
71692258311433845166311 ~2008
71694622431433892448711 ~2008
71694789231433895784711 ~2008
Exponent Prime Factor Dig. Year
71695138431433902768711 ~2008
71706937495736554999311 ~2009
71707705311434154106311 ~2008
71707785231434155704711 ~2008
71708521191434170423911 ~2008
71709223214302553392711 ~2009
71710548115736843848911 ~2009
71717072391434341447911 ~2008
717190435311475046964912 ~2010
71721001791434420035911 ~2008
71721830031434436600711 ~2008
71725812374303548742311 ~2009
71726647311434532946311 ~2008
71726781711434535634311 ~2008
71727629391434552587911 ~2008
71731045311434620906311 ~2008
71732335191434646703911 ~2008
71736405591434728111911 ~2008
71738297391434765947911 ~2008
71742018231434840364711 ~2008
71745722534304743351911 ~2009
71746656111434933122311 ~2008
71747767334304866039911 ~2009
71748570231434971404711 ~2008
71749248111434984962311 ~2008
Exponent Prime Factor Dig. Year
717512769134440612916912 ~2011
71756920911435138418311 ~2008
71757418517175741851111 ~2010
71757743511435154870311 ~2008
71760802214305648132711 ~2009
71763912475741112997711 ~2009
71765209191435304183911 ~2008
71770700391435414007911 ~2008
71770878111435417562311 ~2008
71776802534306608151911 ~2009
71778688911435573778311 ~2008
71781009115742480728911 ~2009
717811270144504298746312 ~2012
71781264014306875840711 ~2009
71783059431435661188711 ~2008
71783975991435679519911 ~2008
71785366911435707338311 ~2008
717866676712921600180712 ~2010
717930001917230320045712 ~2011
71796714231435934284711 ~2008
71801583295744126663311 ~2009
71806526391436130527911 ~2008
71809285911436185718311 ~2008
71810601711436212034311 ~2008
718121160134469815684912 ~2011
4530
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25-12-14