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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
17546219350924398 ~1988
175474491403795939 ~1989
17547851350957038 ~1988
17549459350989198 ~1988
175500972808015539 ~1990
17550359351007198 ~1988
175505271404042179 ~1989
175506074212145699 ~1990
17550899351017998 ~1988
17551211351024238 ~1988
17551571351031438 ~1988
175517591755175919 ~1989
1755186110938319775312 ~1996
175524012808384179 ~1990
17553383351067678 ~1988
175536435968238639 ~1991
175540037372681279 ~1991
175540511755405119 ~1989
17554139351082798 ~1988
17554331351086638 ~1988
175543491404347939 ~1989
175553331053319999 ~1989
17556023351120478 ~1988
17556191351123838 ~1988
17557139351142798 ~1988
Exponent Prime Factor Digits Year
175578172458094399 ~1990
17557979351159598 ~1988
17558003351160078 ~1988
175584771053508639 ~1989
17558759351175198 ~1988
175597391755973919 ~1989
175598531053591199 ~1989
17559863351197278 ~1988
175607571053645439 ~1989
17560859351217198 ~1988
17561123351222478 ~1988
175611771404894179 ~1989
175612093863465999 ~1990
17561471351229438 ~1988
17561543351230878 ~1988
17562059351241198 ~1988
175621131053726799 ~1989
17562959351259198 ~1988
17563379351267598 ~1988
17563523351270478 ~1988
17563583351271678 ~1988
17563631351272638 ~1988
17564219351284398 ~1988
175650493864310799 ~1990
17565563351311278 ~1988
Exponent Prime Factor Digits Year
17565791351315838 ~1988
17565883337264953710 ~1992
17566343351326878 ~1988
175665171405321379 ~1989
175667092459339279 ~1990
17566751351335038 ~1988
17568443351368878 ~1988
17568503351370078 ~1988
175694591756945919 ~1989
175696671405573379 ~1989
175699611054197679 ~1989
17570123351402478 ~1988
17570219351404398 ~1988
17570471351409438 ~1988
17570711351414238 ~1988
17571023351420478 ~1988
17571539351430798 ~1988
175718172811490739 ~1990
17571959351439198 ~1988
17573351351467038 ~1988
175742571405940579 ~1989
175745411054472479 ~1989
175746292460448079 ~1990
17574911351498238 ~1988
17575619351512398 ~1988
Exponent Prime Factor Digits Year
17575823351516478 ~1988
175760331054561999 ~1989
175760811054564879 ~1989
17576423351528478 ~1988
175766811054600879 ~1989
17576707186313094310 ~1992
17576771351535438 ~1988
17577419351548398 ~1988
17577611351552238 ~1988
17577803351556078 ~1988
175778091406224739 ~1989
17578559351571198 ~1988
17578859351577198 ~1988
17579231351584638 ~1988
17579519351590398 ~1988
17579879351597598 ~1988
17579951351599038 ~1988
17580011351600238 ~1988
17580323351606478 ~1988
17580551351611038 ~1988
175807011054842079 ~1989
17580791351615838 ~1988
17580911351618238 ~1988
17581139351622798 ~1988
17581199351623998 ~1988
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