Small Mersenne Prime Factors (page 1034/5850)

Small Mersenne Prime Factors
Prime numbers of the form M_p= 2^p − 1 are called Mersenne primes. For M_p to be prime, p must also be prime.
Any factor q of a Mersenne number 2^p − 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
9398681	56392087	8	~1987
9398723	18797447	8	~1985
9398783	18797567	8	~1985
9399437	56396623	8	~1987
9399463	996343079	9	~1990
9399491	75195929	8	~1987
9399581	56397487	8	~1987
9399869	75198953	8	~1987
9399983	18799967	8	~1985
9400043	18800087	8	~1985
9400333	206807327	9	~1988
9400343	18800687	8	~1985
9400463	18800927	8	~1985
9400739	18801479	8	~1985
9400889	75207113	8	~1987
9400999	94009991	8	~1987
9401053	206823167	9	~1988
9401059	225625417	9	~1988
9401101	56406607	8	~1987
9401699	18803399	8	~1985
9401849	131625887	9	~1988
9401921	56411527	8	~1987
9402059	18804119	8	~1985
9402671	18805343	8	~1985
9402803	18805607	8	~1985

Exp.	Prime Factor	Digits	Year
9402857	56417143	8	~1987
9403019	695823407	9	~1989
9403061	75224489	8	~1987
9403259	18806519	8	~1985
9403301	75226409	8	~1987
9403393	56420359	8	~1987
9403871	18807743	8	~1985
9403897	56423383	8	~1987
9403903	94039031	8	~1987
9403991	75231929	8	~1987
9404099	18808199	8	~1985
9404243	18808487	8	~1985
9404341	56426047	8	~1987
9404693	56428159	8	~1987
9404761	733571359	9	~1989
9404891	18809783	8	~1985
9405017	56430103	8	~1987
9405313	150485009	9	~1988
9405401	56432407	8	~1987
9405533	56433199	8	~1987
9405629	75245033	8	~1987
9406073	56436439	8	~1987
9406079	75248633	8	~1987
9406297	56437783	8	~1987
9406511	18813023	8	~1985

Exp.	Prime Factor	Digits	Year
9406619	18813239	8	~1985
9406739	18813479	8	~1985
9406961	75255689	8	~1987
9407243	18814487	8	~1985
9407423	18814847	8	~1985
9407441	75259529	8	~1987
9407891	75263129	8	~1987
9408277	1128993241	10	~1990
9408611	18817223	8	~1985
9408677	75269417	8	~1987
9409121	75272969	8	~1987
9409331	18818663	8	~1985
9409591	169372639	9	~1988
9409801	56458807	8	~1987
9409943	18819887	8	~1985
9410039	18820079	8	~1985
9410419	602266817	9	~1989
9410501	56463007	8	~1987
9410699	18821399	8	~1985
9410939	18821879	8	~1985
9411299	18822599	8	~1985
9411299	75290393	8
9411359	225872617	9	~1988
9411617	56469703	8	~1987
9412021	56472127	8	~1987

Exp.	Prime Factor	Digits	Year
9412043	18824087	8	~1985
9412433	56474599	8	~1987
9412523	18825047	8	~1985
9412691	18825383	8	~1985
9412943	18825887	8	~1985
9413039	18826079	8	~1985
9413051	18826103	8	~1985
9413177	56479063	8	~1987
9413179	225916297	9	~1988
9413269	508316527	9	~1989
9413717	56482303	8	~1987
9413737	56482423	8	~1987
9413879	18827759	8	~1985
9413897	357728087	9	~1989
9414113	56484679	8	~1987
9414323	18828647	8	~1985
9414499	225947977	9	~1988
9414551	18829103	8	~1985
9414781	56488687	8	~1987
9414791	18829583	8	~1985
9414869	75318953	8	~1987
9414929	301277729	9	~1988
9414941	56489647	8	~1987
9415019	18830039	8	~1985
9415391	18830783	8	~1985

5.546.121 digits

26-05-03