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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
2841400195682800399 ~1997
284141413170484847910 ~1998
2841446035682892079 ~1997
2841537835683075679 ~1997
2841594835683189679 ~1997
2841600115683200239 ~1997
2841610795683221599 ~1997
284163233681991759310 ~2000
284164541170498724710 ~1998
2841713395683426799 ~1997
2841748795683497599 ~1997
2841764635683529279 ~1997
2841866635683733279 ~1997
284194399511549918310 ~1999
284203853170522311910 ~1998
2842105195684210399 ~1997
284213759227371007310 ~1998
2842185595684371199 ~1997
2842214395684428799 ~1997
2842294795684589599 ~1997
2842310995684621999 ~1997
2842313995684627999 ~1997
2842314715684629439 ~1997
284238257227390605710 ~1998
2842550995685101999 ~1997
Exponent Prime Factor Digits Year
2842692835685385679 ~1997
2842750315685500639 ~1997
2842823635685647279 ~1997
2842895035685790079 ~1997
2842906915685813839 ~1997
284291863454866980910 ~1999
2842992595685985199 ~1997
2843047315686094639 ~1997
2843087635686175279 ~1997
2843123515686247039 ~1997
2843263195686526399 ~1997
2843361835686723679 ~1997
2843402395686804799 ~1997
2843462995686925999 ~1997
2843503315687006639 ~1997
2843567995687135999 ~1997
2843636271364945409711 ~2000
2843658715687317439 ~1997
2843700115687400239 ~1997
2843912035687824079 ~1997
2843913115687826239 ~1997
2843936995687873999 ~1997
2843996635687993279 ~1997
2844009835688019679 ~1997
284401421227521136910 ~1998
Exponent Prime Factor Digits Year
284402927227522341710 ~1998
284404697170642818310 ~1998
2844090115688180239 ~1997
2844180595688361199 ~1997
2844191995688383999 ~1997
2844366235688732479 ~1997
2844473635688947279 ~1997
2844480235688960479 ~1997
2844502195689004399 ~1997
2844571195689142399 ~1997
2844689035689378079 ~1997
284479681170687808710 ~1998
2844894595689789199 ~1997
284500757398301059910 ~1999
284505619284505619110 ~1999
2845113235690226479 ~1997
2845176835690353679 ~1997
2845211995690423999 ~1997
2845330315690660639 ~1997
2845342315690684639 ~1997
2845377835690755679 ~1997
284545451739818172710 ~2000
2845508635691017279 ~1997
2845537795691075599 ~1997
2845607531991925271111 ~2001
Exponent Prime Factor Digits Year
284571997170743198310 ~1998
2845783315691566639 ~1997
284580719910658300910 ~2000
284594327227675461710 ~1998
2845999435691998879 ~1997
2846045635692091279 ~1997
28461049314116680452912 ~2003
284613877455382203310 ~1999
2846140195692280399 ~1997
2846171035692342079 ~1997
2846233315692466639 ~1997
284628343284628343110 ~1999
284629753170777851910 ~1998
284647217227717773710 ~1998
284651743284651743110 ~1999
284652619284652619110 ~1999
2846744515693489039 ~1997
284680661170808396710 ~1998
284686517227749213710 ~1998
284707693455532308910 ~1999
2847081115694162239 ~1997
2847110515694221039 ~1997
2847165115694330239 ~1997
284719751227775800910 ~1998
2847236515694473039 ~1997
3003
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25-07-08