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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
3034033667487278 ~1984
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
Exp. Prime Factor Digits Year
3036151303615118 ~1983
3036193182171598 ~1983
3036193728686338
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 ~1987
3037513668252878 ~1984
3037607140944964910 ~1987
303763160752637 ~1982
3037631243010498
303776360755277 ~1982
3037829911348718 ~1985
3037921182275278 ~1983
Exp. Prime Factor Digits Year
303811160762237 ~1982
3038177182290638 ~1983
3038177243054178
3038317486130738 ~1984
303835160767037 ~1982
30384291458445939 ~1985
303845960769197 ~1982
3038513182310798 ~1983
3038657729277698 ~1984
3038887303888718 ~1983
3038891243111298 ~1983
303899960779997 ~1982
303929960785997 ~1982
3039299547073838
3039313182358798 ~1983
3039737243178978 ~1983
3039917182395038 ~1983
3040153182409198 ~1983
3040277425638798 ~1984
304028360805677 ~1982
3040307547255278 ~1984
3040313182418798 ~1983
3040517182431038 ~1983
3040967547374078 ~1984
304103960820797 ~1982
Exp. Prime Factor Digits Year
3041173182470398 ~1983
304130360826077 ~1982
3041309243304738 ~1983
3041407486625138 ~1984
3041581486652978 ~1984
3041603790816798 ~1984
304165160833037 ~1982
304177160835437 ~1982
3041821182509278 ~1983
3042157182529438 ~1983
304219160843837 ~1982
3042227547600878 ~1984
3042317243385378 ~1983
3042401182544078 ~1983
30424372433949619 ~1986
3042467243397378 ~1983
3042661182559678 ~1983
3042703304270318 ~1983
304289960857997 ~1982
304297160859437 ~1982
3043081486892978 ~1984
3043223730373538 ~1984
304328360865677 ~1982
3043367243469378 ~1983
304345160869037 ~1982
514
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25-12-14