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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
2989709351597941870310 ~2005
2989733819597946763910 ~2005
29897429331793845759911 ~2006
29897729174783636667311 ~2007
2989913999597982799910 ~2005
2989940939597988187910 ~2005
29899548371793972902311 ~2006
29900560611794033636711 ~2006
2990110811598022162310 ~2005
2990297903598059580710 ~2005
29903953077176948736911 ~2008
2990637131598127426310 ~2005
2990728199598145639910 ~2005
2990729783598145956710 ~2005
2990852939598170587910 ~2005
2990921243598184248710 ~2005
2990957303598191460710 ~2005
2990985479598197095910 ~2005
2991029243598205848710 ~2005
2991196319598239263910 ~2005
2991368819598273763910 ~2005
29914381574786301051311 ~2007
2991460463598292092710 ~2005
29915300771794918046311 ~2006
2991537599598307519910 ~2005
Exponent Prime Factor Digits Year
2991739763598347952710 ~2005
29918268914786923025711 ~2007
299183013111967320524112 ~2008
2991906023598381204710 ~2005
2991978719598395743910 ~2005
2992124183598424836710 ~2005
29921262371795275742311 ~2006
2992230023598446004710 ~2005
29922641931795358515911 ~2006
299230056121544564039312 ~2009
2992345799598469159910 ~2005
2992440683598488136710 ~2005
29924600771795476046311 ~2006
2992482959598496591910 ~2005
2992536791598507358310 ~2005
2992642151598528430310 ~2005
2992693271598538654310 ~2005
29929285972394342877711 ~2007
2993080283598616056710 ~2005
29931088012394487040911 ~2007
29931356572394508525711 ~2007
29931713474789074155311 ~2007
2993335223598667044710 ~2005
2993386499598677299910 ~2005
29936712292394936983311 ~2007
Exponent Prime Factor Digits Year
2993817119598763423910 ~2005
2993895731598779146310 ~2005
29939184011796351040711 ~2006
2993927231598785446310 ~2005
29939920372395193629711 ~2007
29941994896587238875911 ~2008
2994201803598840360710 ~2005
29942352534191929354311 ~2007
29942374872994237487111 ~2007
2994283823598856764710 ~2005
2994472451598894490310 ~2005
2994557543598911508710 ~2005
29946267371796776042311 ~2006
2994644519598928903910 ~2005
29947265211796835912711 ~2006
2994832091598966418310 ~2005
2994973739598994747910 ~2005
2994984743598996948710 ~2005
2995065299599013059910 ~2005
2995451891599090378310 ~2005
29955017811797301068711 ~2006
2995505099599101019910 ~2005
29957285572396582845711 ~2007
29957328131797439687911 ~2006
2995758179599151635910 ~2005
Exponent Prime Factor Digits Year
29957584611797455076711 ~2006
2995890659599178131910 ~2005
2996131163599226232710 ~2005
2996140079599228015910 ~2005
2996160383599232076710 ~2005
2996212643599242528710 ~2005
2996218919599243783910 ~2005
2996287331599257466310 ~2005
2996445671599289134310 ~2005
2996490083599298016710 ~2005
29965472234794475556911 ~2007
2996606183599321236710 ~2005
29966909112996690911111 ~2007
2996762651599352530310 ~2005
29968253832996825383111 ~2007
2996826743599365348710 ~2005
2996871659599374331910 ~2005
29968938971798136338311 ~2006
2996990663599398132710 ~2005
29971105134195954718311 ~2007
2997111431599422286310 ~2005
29971483512997148351111 ~2007
2997204971599440994310 ~2005
29972596792397807743311 ~2007
2997270911599454182310 ~2005
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26-07-19