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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
556622051111324410310 ~1999
556631213333978727910 ~2000
556690859111338171910 ~1999
556696121445356896910 ~2001
556708093890732948910 ~2002
556710937334026562310 ~2000
556721183111344236710 ~1999
556740659111348131910 ~1999
556743841334046304710 ~2000
556757977334054786310 ~2000
556771427445417141710 ~2001
556772231111354446310 ~1999
556780571111356114310 ~1999
556781363111356272710 ~1999
556794593334076755910 ~2000
556813199111362639910 ~1999
556822499111364499910 ~1999
556824841890919745710 ~2002
556827863111365572710 ~1999
556831031111366206310 ~1999
556838341334103004710 ~2000
556840523111368104710 ~1999
556853743556853743110 ~2001
556858717334115230310 ~2000
556886753334132051910 ~2000
Exponent Prime Factor Digits Year
556912931111382586310 ~1999
556919411111383882310 ~1999
556923683111384736710 ~1999
556938929445551143310 ~2001
556980071111396014310 ~1999
556983491111396698310 ~1999
556989119445591295310 ~2001
557004293334202575910 ~2000
557012003111402400710 ~1999
557028061334216836710 ~2000
557032169445625735310 ~2001
557032919111406583910 ~1999
557036279111407255910 ~1999
557040839111408167910 ~1999
557046029779864440710 ~2001
557059571111411914310 ~1999
557062799111412559910 ~1999
557087423111417484710 ~1999
557100851111420170310 ~1999
557108677334265206310 ~2000
557111339111422267910 ~1999
557141999111428399910 ~1999
557164841445731872910 ~2001
557178701445742960910 ~2001
557198639111439727910 ~1999
Exponent Prime Factor Digits Year
557225171111445034310 ~1999
557228459111445691910 ~1999
557264069445811255310 ~2001
557309303111461860710 ~1999
557330003111466000710 ~1999
5573353494012814512911 ~2003
5573678477580202719311 ~2004
557369363111473872710 ~1999
557375543111475108710 ~1999
557380933334428559910 ~2000
557381651111476330310 ~1999
557388011111477602310 ~1999
557416259111483251910 ~1999
557423099111484619910 ~1999
557453993334472395910 ~2000
557464031111492806310 ~1999
557467199111493439910 ~1999
557476039557476039110 ~2001
557522183111504436710 ~1999
557523913334514347910 ~2000
557532851111506570310 ~1999
557550443111510088710 ~1999
557552783111510556710 ~1999
557574863111514972710 ~1999
557579699111515939910 ~1999
Exponent Prime Factor Digits Year
557603471111520694310 ~1999
557603999111520799910 ~1999
557633339111526667910 ~1999
557642881334585728710 ~2000
557643811557643811110 ~2001
5576538971338369352911 ~2002
557659331111531866310 ~1999
557674157334604494310 ~2000
557677271111535454310 ~1999
557703803111540760710 ~1999
557705581334623348710 ~2000
557708293334624975910 ~2000
557716391111543278310 ~1999
557719199111543839910 ~1999
5577247878923596592111 ~2004
557772791111554558310 ~1999
557778323111555664710 ~1999
557782583111556516710 ~1999
5577892091227136259911 ~2002
5578020311004043655911 ~2002
557808143111561628710 ~1999
557818409446254727310 ~2001
5578618092231447236111 ~2002
557865901892585441710 ~2002
557894773334736863910 ~2000
3328
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25-07-20