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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
73580672477358067247111 ~2010
73585324311471706486311 ~2008
73588421031471768420711 ~2008
73589403711471788074311 ~2008
73591444911471828898311 ~2008
73592257075887380565711 ~2010
73592516174415550970311 ~2009
73597382031471947640711 ~2008
73599169791471983395911 ~2008
73600842231472016844711 ~2008
73610936991472218739911 ~2008
73615364391472307287911 ~2008
73617119631472342392711 ~2008
736214659317669151823312 ~2011
73622372031472447440711 ~2008
73622816031472456320711 ~2008
73624680831472493616711 ~2008
73626418791472528375911 ~2008
73629076911472581538311 ~2008
73629660591472593211911 ~2008
73631012991472620259911 ~2008
73635061191472701223911 ~2008
73635928277363592827111 ~2010
73641586191472831723911 ~2008
73642108277364210827111 ~2010
Exponent Prime Factor Dig. Year
73642657431472853148711 ~2008
73645189014418711340711 ~2009
73647242991472944859911 ~2008
73649236375891938909711 ~2010
73649769591472995391911 ~2008
736505042336825252115112 ~2012
73651223414419073404711 ~2009
736544086717677058080912 ~2011
73657146231473142924711 ~2008
73658682711473173654311 ~2008
73662776031473255520711 ~2008
73663225214419793512711 ~2009
73663249431473264988711 ~2008
73665269391473305387911 ~2008
736718647113260935647912 ~2010
73672871334420372279911 ~2009
73672984791473459695911 ~2008
73675191974420511518311 ~2009
73676631111473532622311 ~2008
73680382814420822968711 ~2009
73682192631473643852711 ~2008
73691614615895329168911 ~2010
73692823311473856466311 ~2008
73692857391473857147911 ~2008
73693839711473876794311 ~2008
Exponent Prime Factor Dig. Year
73694511231473890224711 ~2008
73695208311473904166311 ~2008
73696577031473931540711 ~2008
73697823231473956464711 ~2008
73698242391473964847911 ~2008
73700664711474013294311 ~2008
73700960991474019219911 ~2008
73701688911474033778311 ~2008
73702844574422170674311 ~2009
73707531111474150622311 ~2008
73708548711474170974311 ~2008
73710187191474203743911 ~2008
73710475911474209518311 ~2008
73713436997371343699111 ~2010
73714065831474281316711 ~2008
73714416917371441691111 ~2010
73714971831474299436711 ~2008
73715812911474316258311 ~2008
73716259791474325195911 ~2008
73719113631474382272711 ~2008
73721498031474429960711 ~2008
73724452431474489048711 ~2008
73728021591474560431911 ~2008
73729898031474597960711 ~2008
73734970734424098243911 ~2009
Exponent Prime Factor Dig. Year
73735206111474704122311 ~2008
73735856774424151406311 ~2009
737361736917696681685712 ~2011
73736439231474728784711 ~2008
73736868231474737364711 ~2008
73739926015899194080911 ~2010
73741811511474836230311 ~2008
73742665334424559919911 ~2009
73742713374424562802311 ~2009
73747890437374789043111 ~2010
737496435111799942961712 ~2010
737519665717700471976912 ~2011
737567293333928095491912 ~2011
73756791591475135831911 ~2008
73761163431475223268711 ~2008
73771649391475432987911 ~2008
73772716791475454335911 ~2008
73772862111475457242311 ~2008
73777758374426665502311 ~2009
73779805311475596106311 ~2008
73782394315902591544911 ~2010
73787685711475753714311 ~2008
737897281316233740188712 ~2011
73791403134427484187911 ~2009
73791850037379185003111 ~2010
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26-07-05