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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
30298631999709599 ~1985
3029981242398498 ~1983
3030017424202398 ~1984
303014360602877 ~1982
303017960603597 ~1982
3030197242415778 ~1983
303043160608637 ~1982
3030473181828398 ~1983
3030553909165918 ~1984
303071960614397 ~1982
3030791242463298 ~1983
303080360616077 ~1982
3030869242469538 ~1983
3030869424321678
303101960620397 ~1982
303116360623277 ~1982
3031177181870638 ~1983
3031183484989298 ~1984
303127160625437 ~1982
3031271242501698
3031333666893278 ~1984
303140360628077 ~1982
303157160631437 ~1982
3031577242526178 ~1983
30315771151999279
Exp. Prime Factor Digits Year
3031681485068978 ~1984
303182360636477 ~1982
3031957181917438 ~1983
3032177909653118 ~1984
30322071516103519 ~1985
3032377181942638 ~1983
30323997277757619 ~1987
303259160651837 ~1982
3032611303261118 ~1983
3032801242624098 ~1983
3032963788570398 ~1984
30329694792091039 ~1986
3033053181983198 ~1983
303305960661197 ~1982
3033101242648098 ~1983
3033161242652898 ~1983
3033281909984318 ~1984
3033301667326238 ~1984
3033341242667298 ~1983
30333531698677699 ~1985
3033403485344498 ~1984
303341960668397 ~1982
3033697182021838 ~1983
303391160678237 ~1982
3034033667487278 ~1984
Exp. Prime Factor Digits Year
3034217728212098 ~1984
3034253424795438 ~1984
3034379242750338 ~1983
30344891213795619 ~1985
303451160690237 ~1982
303452360690477 ~1982
3034561910368318 ~1984
3034711546247998 ~1984
3034739728337378 ~1984
3034769242781538 ~1983
3035047485607538 ~1984
303509960701997 ~1982
3035239303523918 ~1983
3035371303537118 ~1983
3035441182126478 ~1983
30355876374732719 ~1987
3035647546416478 ~1984
3035653485704498 ~1984
3035677485708338 ~1984
303572360714477 ~1982
30357431942875539 ~1985
303577160715437 ~1982
30357711457170099
3035821306010756910 ~1988
3036151303615118 ~1983
Exp. Prime Factor Digits Year
3036193182171598 ~1983
3036287789434638 ~1984
303643160728637 ~1982
3036497182189838 ~1983
3036571485851378 ~1984
3036613182196798 ~1983
3036731242938498 ~1983
3036871303687118 ~1983
303698360739677 ~1982
303703160740637 ~1982
3037189728925378 ~1984
3037193182231598 ~1983
3037201911160318 ~1984
3037319242985538 ~1983
3037399546731838 ~1984
30374176014085679 ~1986
3037513668252878 ~1984
3037607140944964910 ~1987
303763160752637 ~1982
3037631243010498
303776360755277 ~1982
3037829911348718 ~1984
3037921182275278 ~1983
303811160762237 ~1982
3038177182290638 ~1983
502
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25-06-01