Small Mersenne Prime Factors (page 877/5490)

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
7354681	117674897	9	~1987
7354751	14709503	8	~1985
7354861	44129167	8	~1986
7354883	14709767	8	~1985
7355039	14710079	8	~1985
7355141	44130847	8	~1986
7355141	58841129	8
7355303	14710607	8	~1985
7355363	14710727	8	~1985
7355477	44132863	8	~1986
7355591	14711183	8	~1985
7355723	14711447	8	~1985
7356001	44136007	8	~1986
7356091	73560911	8	~1986
7356191	132411439	9	~1987
7356263	14712527	8	~1985
7356421	44138527	8	~1986
7356623	14713247	8	~1985
7357087	176570089	9	~1987
7357321	44143927	8	~1986
7357639	470888897	9	~1988
7357643	14715287	8	~1985
7357661	58861289	8	~1986
7357913	44147479	8	~1986
7357979	14715959	8	~1985

Exp.	Prime Factor	Digits	Year
7358081	58864649	8	~1986
7358201	44149207	8	~1986
7358231	14716463	8	~1985
7358279	58866233	8	~1986
7358599	73585991	8	~1986
7358951	58871609	8	~1986
7359461	44156767	8	~1986
7359643	73596431	8	~1986
7359761	44158567	8	~1986
7359791	14719583	8	~1985
7359949	353277553	9	~1988
7359959	14719919	8	~1985
7360091	14720183	8	~1985
7360739	14721479	8	~1985
7360883	14721767	8	~1985
7360987	132497767	9	~1987
7361327	58890617	8	~1986
7361423	14722847	8	~1985
7361639	14723279	8	~1985
7361801	44170807	8	~1986
7361951	14723903	8	~1985
7362263	14724527	8	~1985
7362301	44173807	8	~1986
7362419	58899353	8	~1986
7362941	44177647	8	~1986

Exp.	Prime Factor	Digits	Year
7363003	117808049	9	~1987
7363073	765759593	9	~1989
7363451	14726903	8	~1985
7363463	14726927	8	~1985
7363679	14727359	8	~1985
7364471	14728943	8	~1985
7364677	44188063	8	~1986
7364681	44188087	8	~1986
7364699	14729399	8	~1985
7364711	14729423	8	~1985
7364771	14729543	8	~1985
7365311	14730623	8	~1985
7365401	58923209	8	~1986
7365443	14730887	8	~1985
7365661	44193967	8	~1986
7365791	14731583	8	~1985
7366013	44196079	8	~1986
7366223	14732447	8	~1985
7366259	58930073	8	~1986
7366379	14732759	8	~1985
7366477	44198863	8	~1986
7366487	58931897	8	~1986
7366577	58932617	8	~1986
7366769	58934153	8	~1986
7366817	58934537	8	~1986

Exp.	Prime Factor	Digits	Year
7366823	14733647	8	~1985
7366897	44201383	8	~1986
7366943	589355441	9	~1989
7366981	221009431	9	~1988
7366993	44201959	8	~1986
7367021	44202127	8	~1986
7367359	132612463	9	~1987
7367621	44205727	8	~1986
7367621	884114521	9
7367627	58941017	8	~1986
7367999	58943993	8	~1986
7368037	44208223	8	~1986
7368209	58945673	8	~1986
7368281	44209687	8	~1986
7368301	44209807	8	~1986
7368499	1547384791	10	~1990
7368629	353694193	9	~1988
7368659	58949273	8	~1986
7368719	14737439	8	~1985
7368791	58950329	8	~1986
7368857	103163999	9	~1987
7368863	14737727	8	~1985
7369259	14738519	8	~1985
7369301	58954409	8	~1986
7369441	44216647	8	~1986

5.187.277 digits

25-11-17