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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
7988723159774478 ~1985
7988801639104098 ~1986
7989011159780238 ~1985
7989071159781438 ~1985
7989419639153538 ~1986
7989491159789838 ~1985
79894931917478339 ~1988
7990001479400078 ~1986
7990259159805198 ~1985
79904711278475379 ~1987
7990919159818398 ~1985
7991099159821998 ~1985
7991471159829438 ~1985
7991531159830638 ~1985
79915311438475599
7991573479494398 ~1986
7991747639339778 ~1986
7991891159837838 ~1985
7991941479516478 ~1986
7991981639358498 ~1986
7992059159841198 ~1985
7992923159858478 ~1985
7993061479583678 ~1986
7993103159862078 ~1985
79932112557827539 ~1988
Exp. Prime Factor Digits Year
7993283159865678 ~1985
7993697479621838 ~1986
7993801479628078 ~1986
7993883159877678 ~1985
7993957479637438 ~1986
7994341479660478 ~1986
7994663159893278 ~1985
7994699159893998 ~1985
7994711159894238 ~1985
7994881479692878 ~1986
7994999159899998 ~1985
7995131159902638 ~1985
79953191439157439 ~1987
79956296396503219 ~1989
7995791159915838 ~1985
7995917479755038 ~1986
7996277479776638 ~1986
7996537479792238 ~1986
79965592558898899 ~1988
7996823159936478 ~1985
7996871159937438 ~1985
79969972399099119 ~1988
7997489639799138 ~1986
7997903159958078 ~1985
79983492399504719 ~1988
Exp. Prime Factor Digits Year
7998383159967678 ~1985
7998521479911278 ~1986
7998937479936238 ~1986
7999241479954478 ~1986
7999417479965038 ~1986
7999613479976798 ~1986
7999811159996238 ~1985
7999921479995278 ~1986
80000531280008499 ~1987
8000231160004638 ~1985
8000579160011598 ~1985
8000651160013038 ~1985
8000677480040638 ~1986
8000831160016638 ~1985
8000893480053598 ~1986
8001197134420109710 ~1990
8001281640102498 ~1986
8001659160033198 ~1985
80018411760405039 ~1987
8002073480124398 ~1986
8002103160042078 ~1985
8002193480131598 ~1986
8002271640181698 ~1986
8002283160045678 ~1985
8002297480137838 ~1986
Exp. Prime Factor Digits Year
8002517480151038 ~1986
8002691160053838 ~1985
8002931160058638 ~1985
8003201480192078 ~1986
8003231640258498 ~1986
8003423160068478 ~1985
8003483160069678 ~1985
8003657480219438 ~1986
8003819160076398 ~1985
8004071160081438 ~1985
8004121480247278 ~1986
8004653480279198 ~1986
8004673480280398 ~1986
8004911160098238 ~1985
8004917230541609710 ~1990
80050272721709199 ~1988
8005103160102078 ~1985
8005271160105438 ~1985
8005379160107598 ~1985
8005499160109998 ~1985
8005649640451938 ~1986
80056933682618799 ~1988
8006483160129678 ~1985
8006819640545538 ~1986
8006941480416478 ~1986
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