Small Mersenne Prime Factors (page 685/5025)

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
5095547	40764377	8	~1985
5095681	30574087	8	~1985
5095697	30574183	8	~1985
5095697	40765577	8
5095841	40766729	8	~1985
5096159	10192319	8	~1983
5096171	40769369	8	~1985
5096207	40769657	8	~1985
5096213	30577279	8	~1985
5096471	10192943	8	~1983
5096711	10193423	8	~1983
5096857	30581143	8	~1985
5097017	30582103	8	~1985
5097023	10194047	8	~1983
5097089	40776713	8	~1985
5097097	244660657	9	~1987
5097137	30582823	8	~1985
5097151	417966383	9	~1987
5097259	173306807	9	~1986
5097563	10195127	8	~1983
5097577	30585463	8	~1985
5097583	122341993	9	~1986
5097647	40781177	8	~1985
5097803	10195607	8	~1983
5097863	10195727	8	~1983

Exp.	Prime Factor	Digits	Year
5097959	10195919	8	~1983
5098031	10196063	8	~1983
5098069	122353657	9	~1986
5098091	10196183	8	~1983
5098337	71376719	8	~1985
5098679	40789433	8	~1985
5098763	10197527	8	~1983
5098979	10197959	8	~1983
5098987	50989871	8	~1985
5098987	81583793	8
5099411	10198823	8	~1983
5099459	40795673	8	~1985
5099617	30597703	8	~1985
5100083	10200167	8	~1983
5100239	10200479	8	~1983
5100371	91806679	8	~1986
5100479	10200959	8	~1983
5100661	30603967	8	~1985
5100763	51007631	8	~1985
5100859	51008591	8	~1985
5100899	10201799	8	~1983
5100913	81614609	8	~1986
5100971	10201943	8	~1983
5100989	71413847	8	~1985
5101093	30606559	8	~1985

Exp.	Prime Factor	Digits	Year
5101157	30606943	8	~1985
5101211	91821799	8	~1986
5101417	30608503	8	~1985
5101451	10202903	8	~1983
5101511	10203023	8	~1983
5101531	91827559	8	~1986
5101559	10203119	8	~1983
5101879	51018791	8	~1985
5101961	30611767	8	~1985
5101997	40815977	8	~1985
5102177	40817417	8	~1985
5102443	51024431	8	~1985
5102543	10205087	8	~1983
5102561	30615367	8	~1985
5102561	40820489	8
5102563	51025631	8	~1985
5102623	81641969	8	~1986
5102683	81642929	8	~1986
5102861	40822889	8	~1985
5103103	51031031	8	~1985
5103239	10206479	8	~1983
5103257	30619543	8	~1985
5103653	30621919	8	~1985
5103691	51036911	8	~1985
5104013	30624079	8	~1985

Exp.	Prime Factor	Digits	Year
5104117	30624703	8	~1985
5104163	10208327	8	~1983
5104327	51043271	8	~1985
5104523	10209047	8	~1983
5104679	10209359	8	~1983
5104699	418585319	9	~1987
5104741	112304303	9	~1986
5105123	10210247	8	~1983
5105123	285886889	9
5105171	622830863	9	~1988
5105231	10210463	8	~1983
5105237	4696818041	10	~1990
5105671	91902079	8	~1986
5105833	30634999	8	~1985
5105843	10211687	8	~1983
5105921	285931577	9	~1987
5106317	30637903	8	~1985
5106559	245114833	9	~1987
5106719	10213439	8	~1983
5106823	81709169	8	~1986
5107139	10214279	8	~1983
5107331	10214663	8	~1983
5107379	40859033	8	~1985
5107379	91932823	8
5107439	40859513	8	~1985

4.724.182 digits

25-04-13