Small Mersenne Prime Factors (page 997/5490)

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
9165917	73327337	8	~1987
9166211	18332423	8	~1985
9166499	18332999	8	~1985
9166517	128331239	9	~1987
9166763	18333527	8	~1985
9166823	18333647	8	~1985
9166931	18333863	8	~1985
9166967	220007209	9	~1988
9166973	55001839	8	~1987
9167167	146674673	9	~1988
9167371	91673711	8	~1987
9167441	55004647	8	~1987
9167531	165015559	9	~1988
9167771	18335543	8	~1985
9168011	18336023	8	~1985
9168077	55008463	8	~1987
9168217	55009303	8	~1987
9168251	18336503	8	~1985
9168623	18337247	8	~1985
9168671	18337343	8	~1985
9169063	91690631	8	~1987
9169529	73356233	8	~1987
9169619	18339239	8	~1985
9170363	18340727	8	~1985
9170549	73364393	8	~1987

Exp.	Prime Factor	Digits	Year
9170809	220099417	9	~1988
9171131	18342263	8	~1985
9171307	91713071	8	~1987
9171731	18343463	8	~1985
9171881	55031287	8	~1987
9171907	91719071	8	~1987
9171971	18343943	8	~1985
9172057	495291079	9	~1989
9172133	55032799	8	~1987
9172211	18344423	8	~1985
9172343	18344687	8	~1985
9172451	18344903	8	~1985
9172463	18344927	8	~1985
9172739	18345479	8	~1985
9173093	55038559	8	~1987
9173273	55039639	8	~1987
9173291	18346583	8	~1985
9173377	55040263	8	~1987
9173459	18346919	8	~1985
9174197	55045183	8	~1987
9174299	18348599	8	~1985
9174383	18348767	8	~1985
9174521	55047127	8	~1987
9174563	18349127	8	~1985
9174601	55047607	8	~1987

Exp.	Prime Factor	Digits	Year
9174647	165143647	9	~1988
9174719	18349439	8	~1985
9174839	18349679	8	~1985
9174983	18349967	8	~1985
9175337	73402697	8	~1987
9175457	73403657	8	~1987
9175871	18351743	8	~1985
9175913	55055479	8	~1987
9176003	220224073	9	~1988
9176017	55056103	8	~1987
9176023	91760231	8	~1987
9176099	18352199	8	~1985
9176543	18353087	8	~1985
9176599	660715129	9	~1989
9176803	91768031	8	~1987
9177293	55063759	8	~1987
9177373	55064239	8	~1987
9177491	18354983	8	~1985
9177599	18355199	8	~1985
9177617	73420937	8	~1987
9177733	660796777	9	~1989
9178231	13216652641	11	~1992
9178451	18356903	8	~1985
9178751	18357503	8	~1985
9178751	73430009	8

Exp.	Prime Factor	Digits	Year
9178979	18357959	8	~1985
9179029	1028051249	10	~1990
9179111	73432889	8	~1987
9179153	55074919	8	~1987
9179693	55078159	8	~1987
9180071	18360143	8	~1985
9180191	18360383	8	~1985
9180299	18360599	8	~1985
9180383	18360767	8	~1985
9180659	18361319	8	~1985
9180767	165253807	9	~1988
9181129	275433871	9	~1988
9181261	55087567	8	~1987
9181391	18362783	8	~1985
9181619	18363239	8	~1985
9181631	18363263	8	~1985
9181657	55089943	8	~1987
9182171	18364343	8	~1985
9182233	146915729	9	~1988
9182627	220383049	9	~1988
9182639	18365279	8	~1985
9183131	18366263	8	~1985
9183373	55100239	8	~1987
9183641	55101847	8	~1987
9183653	128571143	9	~1987

5.187.277 digits

25-11-17