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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
517984791035969599 ~1991
517996191035992399 ~1991
517998591035997199 ~1991
517998831035997679 ~1991
518016111036032239 ~1991
518023431036046879 ~1991
518029311036058639 ~1991
518040413108242479 ~1992
51804407124330576910 ~1994
518049533232629067311 ~1997
518056674144453379 ~1993
518058111036116239 ~1991
518063991036127999 ~1991
518076119325369999 ~1994
51807671497353641710 ~1995
518077933108467599 ~1992
518082711036165439 ~1991
518102631036205279 ~1991
518122791036245599 ~1991
518124831036249679 ~1991
518129031036258079 ~1991
518156391036312799 ~1991
518159991036319999 ~1991
518166231036332479 ~1991
518177631036355279 ~1991
Exponent Prime Factor Digits Year
518225391036450799 ~1991
51826157870679437710 ~1996
518276031036552079 ~1991
518276511036553039 ~1991
518288391036576799 ~1991
51829849114025667910 ~1994
518318478293095539 ~1993
518319111036638239 ~1991
518353191036706399 ~1991
518355591036711199 ~1991
518359911036719839 ~1991
518361438293782899 ~1993
518371791036743599 ~1991
518379414147035299 ~1993
518392791036785599 ~1991
518397591036795199 ~1991
51840101248832484910 ~1995
518411715184117119 ~1993
518412711036825439 ~1991
51841723466575507110 ~1995
518426991036853999 ~1991
518455431036910879 ~1991
518471511036943039 ~1991
518478711036957439 ~1991
518481231036962479 ~1991
Exponent Prime Factor Digits Year
518481894147855139 ~1993
518502231037004479 ~1991
518502733111016399 ~1992
518504991037009999 ~1991
518527013111162079 ~1992
518529799333536239 ~1994
518532831037065679 ~1991
518552631037105279 ~1991
518552991037105999 ~1991
518553711037107439 ~1991
518571897260006479 ~1993
51858953570448483110 ~1995
51860509155581527110 ~1994
518606391037212799 ~1991
518630991037261999 ~1991
518647791037295599 ~1991
518650431037300879 ~1991
518653133111918799 ~1992
518666031037332079 ~1991
518682537261555439 ~1993
518712173112273039 ~1992
51871231207484924110 ~1994
518715591037431199 ~1991
518725911037451839 ~1991
518754711037509439 ~1991
Exponent Prime Factor Digits Year
518776431037552879 ~1991
518776911037553839 ~1991
518779791037559599 ~1991
518786631037573279 ~1991
518792511037585039 ~1991
518810991037621999 ~1991
518834511037669039 ~1991
518851911037703839 ~1991
518929431037858879 ~1991
518948813113692879 ~1992
51895553124549327310 ~1994
51896791217966522310 ~1994
518975391037950799 ~1991
518978031037956079 ~1991
518978991037957999 ~1991
518980191037960399 ~1991
518997231037994479 ~1991
51902057155706171110 ~1994
519025374152202979 ~1993
519027711038055439 ~1991
51903223550174163910 ~1995
519033111038066239 ~1991
519034431038068879 ~1991
519039591038079199 ~1991
519066678305066739 ~1993
2066
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25-05-04