Small Mersenne Prime Factors (page 1022/6045)

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
9057539	18115079	8	~1985
9057731	18115463	8	~1985
9057749	72461993	8	~1987
9057959	18115919	8	~1985
9058033	217392793	9	~1988
9058241	54349447	8	~1987
9058471	163052479	9	~1988
9058559	18117119	8	~1985
9058667	72469337	8	~1987
9058741	362349641	9	~1989
9058823	18117647	8	~1985
9058837	54353023	8	~1987
9058859	18117719	8	~1985
9058979	18117959	8	~1985
9059053	54354319	8	~1987
9059381	72475049	8	~1987
9059461	54356767	8	~1987
9059467	144951473	9	~1988
9059497	54356983	8	~1987
9059587	525456047	9	~1989
9059663	18119327	8	~1985
9060041	72480329	8	~1987
9060071	18120143	8	~1985
9060179	18120359	8	~1985
9060281	54361687	8	~1987

Exp.	Prime Factor	Digits	Year
9060377	54362263	8	~1987
9060377	72483017	8
9060497	54362983	8	~1987
9060617	54363703	8	~1987
9060629	72485033	8	~1987
9060791	18121583	8	~1985
9060899	18121799	8	~1985
9061163	18122327	8	~1985
9061319	18122639	8	~1985
9061363	90613631	8	~1987
9061441	54368647	8	~1987
9061523	18123047	8	~1985
9061571	18123143	8	~1985
9062159	18124319	8	~1985
9062231	72497849	8	~1987
9062279	18124559	8	~1985
9062303	18124607	8	~1985
9062789	217506937	9	~1988
9062843	18125687	8	~1985
9063161	54378967	8	~1987
9063233	54379399	8	~1987
9063487	362539481	9	~1989
9063599	18127199	8	~1985
9063623	18127247	8	~1985
9063697	54382183	8	~1987

Exp.	Prime Factor	Digits	Year
9064031	18128063	8	~1985
9064193	652621897	9	~1989
9064343	18128687	8	~1985
9064439	18128879	8	~1985
9064571	18129143	8	~1985
9064597	54387583	8	~1987
9064871	72518969	8	~1987
9064877	54389263	8	~1987
9065207	217564969	9	~1988
9065297	54391783	8	~1987
9065363	18130727	8	~1985
9065417	217570009	9	~1988
9065449	489534247	9	~1989
9065891	18131783	8	~1985
9065939	18131879	8	~1985
9066143	18132287	8	~1985
9066193	54397159	8	~1987
9066503	18133007	8	~1985
9066983	18133967	8	~1985
9067141	54402847	8	~1987
9067361	54404167	8	~1987
9067393	54404359	8	~1987
9067777	54406663	8	~1987
9067829	72542633	8	~1987
9068159	18136319	8	~1985

Exp.	Prime Factor	Digits	Year
9068711	18137423	8	~1985
9068981	4915387703	10	~1991
9069113	126967583	9	~1987
9069299	18138599	8	~1985
9069311	18138623	8	~1985
9069353	54416119	8	~1987
9069677	72557417	8	~1987
9069677	1360451551	10
9069961	54419767	8	~1987
9069971	18139943	8	~1985
9070339	380954239	9	~1989
9070559	18141119	8	~1985
9070913	54425479	8	~1987
9070913	126992783	9
9070933	54425599	8	~1987
9071099	18142199	8	~1985
9071351	18142703	8	~1985
9071459	18142919	8	~1985
9071879	72575033	8	~1987
9072653	54435919	8	~1987
9073199	18146399	8	~1985
9073319	163319743	9	~1988
9073367	72586937	8	~1987
9073367	453668351	9
9073853	54443119	8	~1987

5.740.663 digits

26-08-02