Small Mersenne Prime Factors (page 967/5130)

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
9099821	54598927	8	~1986
9100079	18200159	8	~1985
9100159	819014311	9	~1989
9100211	72801689	8	~1987
9100859	18201719	8	~1985
9100901	54605407	8	~1986
9100919	18201839	8	~1985
9100961	54605767	8	~1986
9100961	72807689	8
9101231	18202463	8	~1985
9101249	3986347063	10	~1991
9101293	54607759	8	~1986
9101819	18203639	8	~1985
9102323	18204647	8	~1985
9102581	54615487	8	~1986
9102887	72823097	8	~1987
9103021	145648337	9	~1988
9103327	163859887	9	~1988
9103343	18206687	8	~1985
9103481	54620887	8	~1986
9103499	18206999	8	~1985
9103693	54622159	8	~1986
9103777	801132377	9	~1989
9103841	72830729	8	~1987
9104141	54624847	8	~1986

Exp.	Prime Factor	Digits	Year
9104153	54624919	8	~1986
9104327	72834617	8	~1987
9104413	54626479	8	~1986
9104531	18209063	8	~1985
9104539	91045391	8	~1987
9104723	18209447	8	~1985
9104897	72839177	8	~1987
9105023	18210047	8	~1985
9105053	946925513	9	~1990
9105119	18210239	8	~1985
9105179	18210359	8	~1985
9105203	18210407	8	~1985
9105301	54631807	8	~1986
9105419	18210839	8	~1985
9105611	18211223	8	~1985
9105671	18211343	8	~1985
9105779	18211559	8	~1985
9105839	18211679	8	~1985
9106151	18212303	8	~1985
9106193	127486703	9	~1987
9106241	54637447	8	~1986
9106313	54637879	8	~1986
9106397	218553529	9	~1988
9106717	54640303	8	~1986
9106943	18213887	8	~1985

Exp.	Prime Factor	Digits	Year
9107123	18214247	8	~1985
9107159	72857273	8	~1987
9107303	18214607	8	~1985
9107369	72858953	8	~1987
9107381	54644287	8	~1986
9107603	18215207	8	~1985
9107719	91077191	8	~1987
9107941	54647647	8	~1986
9108293	54649759	8	~1986
9109259	72874073	8	~1987
9109577	218629849	9	~1988
9109613	54657679	8	~1986
9109697	54658183	8	~1986
9109697	72877577	8
9109703	18219407	8	~1985
9109811	18219623	8	~1985
9109979	18219959	8	~1985
9110141	54660847	8	~1986
9110303	18220607	8	~1985
9110371	91103711	8	~1987
9110483	18220967	8	~1985
9110579	72884633	8	~1987
9110581	54663487	8	~1986
9110681	54664087	8	~1986
9110821	54664927	8	~1986

Exp.	Prime Factor	Digits	Year
9110831	1093299721	10	~1990
9111023	18222047	8	~1985
9111497	437351857	9	~1989
9111803	18223607	8	~1985
9111827	72894617	8	~1987
9112283	18224567	8	~1985
9112319	18224639	8	~1985
9112511	18225023	8	~1985
9112721	54676327	8	~1986
9112919	18225839	8	~1985
9113227	437434897	9	~1989
9113399	18226799	8	~1985
9113737	54682423	8	~1986
9113843	18227687	8	~1985
9113899	309872567	9	~1988
9113959	91139591	8	~1987
9113999	18227999	8	~1985
9114491	18228983	8	~1985
9114551	18229103	8	~1985
9114641	72917129	8	~1987
9114719	18229439	8	~1985
9114901	145838417	9	~1988
9114929	72919433	8	~1987
9114971	18229943	8	~1985
9115277	72922217	8	~1987

4.828.532 digits

25-06-01