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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.
Exp. Prime Factor Digits Year
79842612395278319 ~1988
7984331159686638 ~1985
7984583159691678 ~1985
7984673479080398 ~1986
7984793479087598 ~1986
79848914631236799 ~1988
7984957166087105710 ~1990
7985123159702478 ~1985
7985413479124798 ~1986
7985489638839138 ~1986
7985641479138478 ~1986
7986317638905378 ~1986
7986371159727438 ~1985
7986599638927938 ~1986
79866593354396799 ~1988
79867311437611599 ~1987
7986739798673918 ~1987
7987019159740398 ~1985
7987037479222238 ~1986
7987241638979298 ~1986
79873731118232239 ~1987
7987403159748078 ~1985
7987559159751198 ~1985
7987751159755038 ~1985
7988063159761278 ~1985
Exp. Prime Factor Digits Year
7988339159766798 ~1985
79884592556306899 ~1988
7988573479314398 ~1986
79885791437944239 ~1987
7988723159774478 ~1985
7988801639104098 ~1986
7989011159780238 ~1985
7989071159781438 ~1985
7989419639153538 ~1986
7989491159789838 ~1985
79894931917478339 ~1988
7990001479400078 ~1986
7990259159805198 ~1985
79904711278475379 ~1987
7990919159818398 ~1985
7991057639284578 ~1986
7991099159821998 ~1985
7991471159829438 ~1985
7991531159830638 ~1985
79915311438475599
7991573479494398 ~1986
7991747639339778 ~1986
7991891159837838 ~1985
7991941479516478 ~1986
7991981639358498 ~1986
Exp. Prime Factor Digits Year
7992059159841198 ~1985
7992251639380098 ~1986
7992869639429538 ~1986
7992923159858478 ~1985
7993061479583678 ~1986
7993103159862078 ~1985
7993211639456898 ~1986
79932112557827539
7993283159865678 ~1985
7993697479621838 ~1986
7993801479628078 ~1986
7993871639509698 ~1986
7993883159877678 ~1985
7993957479637438 ~1986
7994039639523138 ~1986
7994341479660478 ~1986
7994663159893278 ~1985
7994699159893998 ~1985
7994711159894238 ~1985
7994881479692878 ~1986
7994999159899998 ~1985
7995131159902638 ~1985
79953191439157439 ~1987
7995461639636898 ~1986
79956296396503219 ~1989
Exp. Prime Factor Digits Year
7995791159915838 ~1985
7995917479755038 ~1986
7996277479776638 ~1986
7996423799642318 ~1987
7996537479792238 ~1986
79965592558898899 ~1988
7996823159936478 ~1985
7996871159937438 ~1985
79969972399099119 ~1988
7997489639799138 ~1986
7997903159958078 ~1985
7998047639843778 ~1986
79983492399504719 ~1988
7998383159967678 ~1985
7998521479911278 ~1986
7998937479936238 ~1986
7999241479954478 ~1986
7999417479965038 ~1986
7999613479976798 ~1986
7999637639970978 ~1986
7999769639981538 ~1986
7999811159996238 ~1985
7999921479995278 ~1986
80000531280008499 ~1987
8000231160004638 ~1985
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25-11-02