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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
278850444715577008894311 ~2013
278868351115577367022311 ~2013
278878858915577577178311 ~2013
278879189635577583792711 ~2013
278905047835578100956711 ~2013
278919682435578393648711 ~2013
278925713035578514260711 ~2013
2789391491316736348947912 ~2014
278947982035578959640711 ~2013
278971163635579423272711 ~2013
278974142635579482852711 ~2013
278974374115579487482311 ~2013
278988655915579773118311 ~2013
2789957803966958987293712 ~2015
279000731995580014639911 ~2013
2790021342744640341483312 ~2015
279003761711151...83388915 2025
2790052819316740316915912 ~2014
279014081035580281620711 ~2013
279016286035580325720711 ~2013
279016324315580326486311 ~2013
2790442075716742652454312 ~2014
2790465105127904651051112 ~2014
279048100795580962015911 ~2013
279065295595581305911911 ~2013
Exponent Prime Factor Dig. Year
2790726170922325809367312 ~2014
2790948465744655175451312 ~2015
279095783035581915660711 ~2013
2791006591344656105460912 ~2015
279114895637011...78225714 2023
2791176494922329411959312 ~2014
2791267009927912670099112 ~2014
279129709795582594195911 ~2013
279141303235582826064711 ~2013
2791428223316748569339912 ~2014
2791439624922331516999312 ~2014
279149482915582989658311 ~2013
279153676435583073528711 ~2013
279154536235583090724711 ~2013
279160440595583208811911 ~2013
279171374035583427480711 ~2013
279174600235583492004711 ~2013
279181131835583622636711 ~2013
2791908423127919084231112 ~2014
279191319835583826396711 ~2013
279191972035583839440711 ~2013
279196426435583928528711 ~2013
2792013474116752080844712 ~2014
279214963971798...79668115 2026
279224137315584482746311 ~2013
Exponent Prime Factor Dig. Year
279240668995584813379911 ~2013
279242368435584847368711 ~2013
279242851315584857026311 ~2013
2792720867967025300829712 ~2015
279272984995585459699911 ~2013
279274722835585494456711 ~2013
279275419915585508398311 ~2013
279279657115585593142311 ~2013
279306370195586127403911 ~2013
2793171106116759026636712 ~2014
279323316595586466331911 ~2013
279323354112002...22604915 2025
279348553915586971078311 ~2013
2793568177316761409063912 ~2014
279376811995587536239911 ~2013
279379172515587583450311 ~2013
279390259874788...54171914 2026
279393003595587860071911 ~2013
279397721035587954420711 ~2013
2794007000367056168007312 ~2015
279405599035588111980711 ~2013
279434394835588687896711 ~2013
279435853915588717078311 ~2013
279442643395588852867911 ~2013
279442676995588853539911 ~2013
Exponent Prime Factor Dig. Year
279444962635588899252711 ~2013
279451653235589033064711 ~2013
279471925435589438508711 ~2013
279472902235589458044711 ~2013
279480774715589615494311 ~2013
279537160195590743203911 ~2013
2795428849122363430792912 ~2014
2795560300344728964804912 ~2015
279559572595591191451911 ~2013
279561414595591228291911 ~2013
2795680749150322253483912 ~2015
279583791595591675831911 ~2013
279594996115591899922311 ~2013
279608900995592178019911 ~2013
279611959435592239188711 ~2013
279615507235592310144711 ~2013
2796172951122369383608912 ~2014
279626886235592537724711 ~2013
2796472804722371782437712 ~2014
279650425435593008508711 ~2013
279655031035593100620711 ~2013
2796700430967120810341712 ~2015
279670373035593407460711 ~2013
279671540515593430810311 ~2013
2796861471150343506479912 ~2015
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26-07-05