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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
746680391149336078310 ~2000
746692559149338511910 ~2000
746742719149348543910 ~2000
746760977448056586310 ~2001
746764019149352803910 ~2000
746777519149355503910 ~2000
746777939149355587910 ~2000
746788583149357716710 ~2000
746824223149364844710 ~2000
746850563149370112710 ~2000
746864039149372807910 ~2000
746864819149372963910 ~2000
746874371149374874310 ~2000
746876183149375236710 ~2000
7468895034929470719911 ~2004
746920631149384126310 ~2000
746926919149385383910 ~2000
746941361448164816710 ~2001
7469445374033500499911 ~2004
746977499149395499910 ~2000
747034499149406899910 ~2000
747057743149411548710 ~2000
747076763149415352710 ~2000
747181931149436386310 ~2000
747182099149436419910 ~2000
Exponent Prime Factor Digits Year
747199763149439952710 ~2000
747222299149444459910 ~2000
747240853448344511910 ~2001
747301697597841357710 ~2002
747306011149461202310 ~2000
747312583747312583110 ~2002
747318707597854965710 ~2002
747319931149463986310 ~2000
747338843149467768710 ~2000
747340151149468030310 ~2000
747357203149471440710 ~2000
747379931149475986310 ~2000
747407477448444486310 ~2001
747441251149488250310 ~2000
747449519149489903910 ~2000
747455963149491192710 ~2000
747495863149499172710 ~2000
747515147598012117710 ~2002
747542591149508518310 ~2000
747556571149511314310 ~2000
747566399149513279910 ~2000
747573251149514650310 ~2000
747620579149524115910 ~2000
747633143149526628710 ~2000
747663613448598167910 ~2001
Exponent Prime Factor Digits Year
747673463149534692710 ~2000
747704603149540920710 ~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
748029143149605828710 ~2000
748040399149608079910 ~2000
748046171149609234310 ~2000
748061957448837174310 ~2001
748067399149613479910 ~2000
748121831149624366310 ~2000
748141453448884871910 ~2001
748143719149628743910 ~2000
748163303149632660710 ~2000
748188179149637635910 ~2000
Exponent Prime Factor Digits Year
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
748561343149712268710 ~2000
748562879149712575910 ~2000
748601543149720308710 ~2000
748628773449177263910 ~2001
748631231149726246310 ~2000
748647131149729426310 ~2000
748669583149733916710 ~2000
748677131149735426310 ~2000
748688561598950848910 ~2002
3440
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25-07-08