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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
1008477923201695584710 ~2001
10085196071008519607111 ~2003
1008528959201705791910 ~2001
1008535571201707114310 ~2001
1008588923201717784710 ~2001
1008609083201721816710 ~2001
10086893292219116523911 ~2004
1008707603201741520710 ~2001
1008726827806981461710 ~2003
10087556471008755647111 ~2003
1008756719201751343910 ~2001
1008781859807025487310 ~2003
1008787271201757454310 ~2001
1008794453605276671910 ~2003
1008861641605316984710 ~2003
1008885431201777086310 ~2001
1008898049807118439310 ~2003
1008921863201784372710 ~2001
1009072523201814504710 ~2001
10090756334036302532111 ~2005
1009101917807281533710 ~2003
1009103363201820672710 ~2001
1009116137807292909710 ~2003
1009122239201824447910 ~2001
1009123343201824668710 ~2001
Exponent Prime Factor Digits Year
1009130051201826010310 ~2001
1009135811201827162310 ~2001
1009172063201834412710 ~2001
1009196879201839375910 ~2001
1009215503201843100710 ~2001
1009283651201856730310 ~2001
1009310257605586154310 ~2003
1009335311807468248910 ~2003
1009339091201867818310 ~2001
1009376783201875356710 ~2001
1009388519201877703910 ~2001
1009398779201879755910 ~2001
1009422143201884428710 ~2001
100942444716958330709712 ~2006
10094277531413198854311 ~2003
1009446923201889384710 ~2001
1009448039201889607910 ~2001
1009450081605670048710 ~2003
1009476599201895319910 ~2001
1009490297605694178310 ~2003
1009502933605701759910 ~2003
1009505771201901154310 ~2001
100950842927458629268912 ~2007
1009514939201902987910 ~2001
1009538639201907727910 ~2001
Exponent Prime Factor Digits Year
1009553339201910667910 ~2001
1009554659201910931910 ~2001
1009594199201918839910 ~2001
1009598279201919655910 ~2001
100961905311307733393712 ~2006
1009622813605773687910 ~2003
1009630871201926174310 ~2001
1009663103201932620710 ~2001
10096667294038666916111 ~2005
1009711343201942268710 ~2001
1009715543201943108710 ~2001
10097179278885517757711 ~2005
1009737671201947534310 ~2001
1009738637605843182310 ~2003
10097455333029236599111 ~2004
1009753919201950783910 ~2001
1009768583201953716710 ~2001
1009776011201955202310 ~2001
10097796893231295004911 ~2004
1009787843201957568710 ~2001
1009805519201961103910 ~2001
1009837201605902320710 ~2003
10098502991817730538311 ~2004
10098588972423661352911 ~2004
1009860191201972038310 ~2001
Exponent Prime Factor Digits Year
1009866491201973298310 ~2001
1009907813605944687910 ~2003
1009918391201983678310 ~2001
10099516933029855079111 ~2004
1009953803201990760710 ~2001
1009977203201995440710 ~2001
1010008871202001774310 ~2001
1010011559202002311910 ~2001
10100178492222039267911 ~2004
1010020153606012091910 ~2003
1010065597606039358310 ~2003
1010102231202020446310 ~2001
1010174003202034800710 ~2001
1010196371202039274310 ~2001
1010227979202045595910 ~2001
1010252447808201957710 ~2003
1010260259202052051910 ~2001
1010281991202056398310 ~2001
1010298923202059784710 ~2001
1010309297606185578310 ~2003
1010313911202062782310 ~2001
1010337071202067414310 ~2001
1010354473606212683910 ~2003
1010369351202073870310 ~2001
1010383739202076747910 ~2001
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26-05-03