Small Mersenne Prime Factors (page 1030/5775)

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
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
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
9406619	18813239	8	~1985
9406739	18813479	8	~1985
9406961	75255689	8	~1987

Exp.	Prime Factor	Digits	Year
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
9411617	56469703	8	~1987
9412021	56472127	8	~1987
9412043	18824087	8	~1985
9412433	56474599	8	~1987
9412523	18825047	8	~1985
9412691	18825383	8	~1985

Exp.	Prime Factor	Digits	Year
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
9415451	75323609	8	~1987
9416171	18832343	8	~1985
9416273	979292393	9	~1990
9416399	18832799	8	~1985

Exp.	Prime Factor	Digits	Year
9416639	18833279	8	~1985
9416747	75333977	8	~1987
9416941	56501647	8	~1987
9417311	75338489	8	~1987
9417329	75338633	8	~1987
9417539	18835079	8	~1985
9417671	18835343	8	~1985
9417703	150683249	9	~1988
9418007	75344057	8	~1987
9418163	18836327	8	~1985
9419077	56514463	8	~1987
9419141	56514847	8	~1987
9419363	18838727	8	~1985
9419471	18838943	8	~1985
9419699	18839399	8	~1985
9419747	75357977	8	~1987
9419749	226073977	9	~1988
9419771	18839543	8	~1985
9420011	18840023	8	~1985
9420263	18840527	8	~1985
9420421	56522527	8	~1987
9420629	75365033	8	~1987
9420721	56524327	8	~1987
9421541	56529247	8	~1987
9421541	75372329	8

5.471.290 digits

26-03-29