Small Mersenne Prime Factors (page 979/5295)

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
9105053	946925513	9	~1990
9105119	18210239	8	~1985
9105179	18210359	8	~1985
9105203	18210407	8	~1985
9105301	54631807	8	~1987
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	~1987
9106313	54637879	8	~1987
9106397	218553529	9	~1988
9106717	54640303	8	~1987
9106931	72855449	8	~1987
9106943	18213887	8	~1985
9107123	18214247	8	~1985
9107159	72857273	8	~1987
9107303	18214607	8	~1985
9107369	72858953	8	~1987
9107381	54644287	8	~1987
9107603	18215207	8	~1985
9107719	91077191	8	~1987

Exp.	Prime Factor	Digits	Year
9107941	54647647	8	~1987
9108293	54649759	8	~1987
9109259	72874073	8	~1987
9109577	218629849	9	~1988
9109613	54657679	8	~1987
9109697	54658183	8	~1987
9109697	72877577	8
9109703	18219407	8	~1985
9109811	18219623	8	~1985
9109979	18219959	8	~1985
9110141	54660847	8	~1987
9110303	18220607	8	~1985
9110371	91103711	8	~1987
9110483	18220967	8	~1985
9110579	72884633	8	~1987
9110581	54663487	8	~1987
9110681	54664087	8	~1987
9110821	54664927	8	~1987
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

Exp.	Prime Factor	Digits	Year
9112511	18225023	8	~1985
9112721	54676327	8	~1987
9112919	18225839	8	~1985
9113227	437434897	9	~1989
9113399	18226799	8	~1985
9113737	54682423	8	~1987
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
9115297	54691783	8	~1987
9116039	18232079	8	~1985
9116099	18232199	8	~1985
9116111	18232223	8	~1985
9116423	18232847	8	~1985
9116461	54698767	8	~1987
9116531	18233063	8	~1985

Exp.	Prime Factor	Digits	Year
9116819	820513711	9	~1989
9116923	91169231	8	~1987
9116951	18233903	8	~1985
9116957	72935657	8	~1987
9117011	18234023	8	~1985
9117029	72936233	8	~1987
9117041	54702247	8	~1987
9117191	18234383	8	~1985
9117401	54704407	8	~1987
9117463	91174631	8	~1987
9117517	54705103	8	~1987
9117599	18235199	8	~1985
9117599	1549991831	10
9117851	18235703	8	~1985
9117851	72942809	8
9117863	18235727	8	~1985
9117917	54707503	8	~1987
9118163	18236327	8	~1985
9118493	54710959	8	~1987
9118559	18237119	8	~1985
9118691	18237383	8	~1985
9118979	18237959	8	~1985
9119153	127668143	9	~1987
9119203	145907249	9	~1988
9119219	18238439	8	~1985

4.992.811 digits

25-08-20