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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
747449519149489903910 ~2000
747455963149491192710 ~2000
747495863149499172710 ~2000
747515147598012117710 ~2002
747542591149508518310 ~2000
747556571149511314310 ~2000
747566399149513279910 ~2000
747573251149514650310 ~2000
747620579149524115910 ~2000
747633143149526628710 ~2000
747663613448598167910 ~2001
747673463149534692710 ~2000
747736859149547371910 ~2000
747758309598206647310 ~2002
747800843149560168710 ~2000
747805763149561152710 ~2000
747818579149563715910 ~2000
747849299149569859910 ~2000
747858131149571626310 ~2000
747868021448720812710 ~2001
747908087598326469710 ~2002
7479179771196668763311 ~2003
747976343149595268710 ~2000
748001279149600255910 ~2000
7480277413590533156911 ~2004
Exponent Prime Factor Digits Year
748029143149605828710 ~2000
748040399149608079910 ~2000
748046171149609234310 ~2000
748061957448837174310 ~2001
748067399149613479910 ~2000
748141453448884871910 ~2001
748143719149628743910 ~2000
748163303149632660710 ~2000
748188179149637635910 ~2000
748188299149637659910 ~2000
748210499149642099910 ~2000
748230179149646035910 ~2000
748231163149646232710 ~2000
748254761448952856710 ~2001
748273907598619125710 ~2002
748304411149660882310 ~2000
748305611149661122310 ~2000
7483800291047732040711 ~2002
748430791748430791110 ~2002
748471343149694268710 ~2000
748483559149696711910 ~2000
748505783149701156710 ~2000
7485164632395252681711 ~2003
748523003149704600710 ~2000
7485532271347395808711 ~2003
Exponent Prime Factor Digits Year
748561343149712268710 ~2000
748562879149712575910 ~2000
748601543149720308710 ~2000
748628773449177263910 ~2001
748631231149726246310 ~2000
748647131149729426310 ~2000
748669583149733916710 ~2000
748677131149735426310 ~2000
748688561598950848910 ~2002
748714259149742851910 ~2000
7487948412246384523111 ~2003
748804883149760976710 ~2000
748819679149763935910 ~2000
748839719149767943910 ~2000
748859123149771824710 ~2000
748879049599103239310 ~2002
748906553449343931910 ~2001
748908119149781623910 ~2000
7489360791348084942311 ~2003
748950959149790191910 ~2000
748957823149791564710 ~2000
748973651149794730310 ~2000
7489779894643663531911 ~2004
748980979748980979110 ~2002
748984163149796832710 ~2000
Exponent Prime Factor Digits Year
748985717599188573710 ~2002
749021699149804339910 ~2000
749023811149804762310 ~2000
749058659149811731910 ~2000
749059583149811916710 ~2000
749064497449438698310 ~2001
749106341449463804710 ~2001
749128559149825711910 ~2000
749158211599326568910 ~2002
749160059599328047310 ~2002
749188799149837759910 ~2000
749190551599352440910 ~2002
749258519149851703910 ~2000
749278151149855630310 ~2000
749287061599429648910 ~2002
7492956191348732114311 ~2003
749300963149860192710 ~2000
749307701599446160910 ~2002
749328263149865652710 ~2000
749348773449609263910 ~2001
7493580131198972820911 ~2003
749372759149874551910 ~2000
749374091149874818310 ~2000
749387003149877400710 ~2000
749392139149878427910 ~2000
3365
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25-05-04