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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
2005870812112035224872712 ~2013
2005986088112035916528712 ~2013
200598926634011978532711 ~2011
200599787034011995740711 ~2011
200619042234012380844711 ~2011
200619719034012394380711 ~2011
2006323225332101171604912 ~2014
2006430304112038581824712 ~2013
200646749634012934992711 ~2011
2006871949980274877996112 ~2015
2006895027712041370166312 ~2013
2007005919712042035518312 ~2013
2007113269312042679615912 ~2013
2007212968116057703744912 ~2013
200725460994014509219911 ~2011
200725640514014512810311 ~2011
2007259468716058075749712 ~2013
2007278292720072782927112 ~2013
200730593514014611870311 ~2011
200741431914014828638311 ~2011
2007533776112045202656712 ~2013
2007553188720075531887112 ~2013
200756108514015122170311 ~2011
200766506514015330130311 ~2011
200779647714015592954311 ~2011
Exponent Prime Factor Dig. Year
2007797814720077978147112 ~2013
2007883886916063071095312 ~2013
200794285914015885718311 ~2011
2008385335312050312011912 ~2013
2008386515916067092127312 ~2013
200839658514016793170311 ~2011
2008530464916068243719312 ~2013
2008575397136154357147912 ~2014
200867602314017352046311 ~2011
200885271114017705422311 ~2011
2008869322332141909156912 ~2014
2008908648112053451888712 ~2013
2008955787732143292603312 ~2014
2009140121916073120975312 ~2013
200918117034018362340711 ~2011
200919772314018395446311 ~2011
200919802314018396046311 ~2011
200928911514018578230311 ~2011
200930382714018607654311 ~2011
200932887234018657744711 ~2011
200951285514019025710311 ~2011
200954578314019091566311 ~2011
2009726185716077809485712 ~2013
200978802594019576051911 ~2011
2009891218980395648756112 ~2015
Exponent Prime Factor Dig. Year
200996183514019923670311 ~2011
200999123514019982470311 ~2011
201003044394020060887911 ~2011
201003154194020063083911 ~2011
2010063343312060380059912 ~2013
201015362634020307252711 ~2011
2010358036948248592885712 ~2014
2010402976116083223808912 ~2013
2010434814144229565910312 ~2014
2010491569312062949415912 ~2013
2010496981312062981887912 ~2013
2010630976716085047813712 ~2013
201071077434021421548711 ~2011
201074864634021497292711 ~2011
201078224394021564487911 ~2011
201079159314021583186311 ~2011
201090261834021805236711 ~2011
201099766194021995323911 ~2011
201106991394022139827911 ~2011
201116564034022331280711 ~2011
201119679834022393596711 ~2011
201122636634022452732711 ~2011
201151484634023029692711 ~2011
2011627743712069766462312 ~2013
201164022834023280456711 ~2011
Exponent Prime Factor Dig. Year
2011701194928163816728712 ~2014
201171532914023430658311 ~2011
201172995234023459904711 ~2011
201210976732201...85426314 2023
201214232514024284650311 ~2011
2012166271116097330168912 ~2013
2012270072352319021879912 ~2014
201229931394024598627911 ~2011
2012323101748295754440912 ~2014
201232908714024658174311 ~2011
2012465623116099724984912 ~2013
201251778234025035564711 ~2011
201257572434025151448711 ~2011
201264613914025292278311 ~2011
201273279114025465582311 ~2011
2012823772944282123003912 ~2014
2012829964112076979784712 ~2013
201287575314025751506311 ~2011
201291386634025827732711 ~2011
2012952187728181330627912 ~2014
2013003243120130032431112 ~2013
2013043647712078261886312 ~2013
201305258394026105167911 ~2011
201310310994026206219911 ~2011
201311768994026235379911 ~2011
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25-07-20