Small Mersenne Prime Factors (page 883/5775)

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
7242241	43453447	8	~1986
7242419	57939353	8	~1986
7242551	14485103	8	~1985
7242637	43455823	8	~1986
7242707	57941657	8	~1986
7242733	159340127	9	~1987
7242737	43456423	8	~1986
7242847	72428471	8	~1986
7242863	14485727	8	~1985
7243163	14486327	8	~1985
7243381	1028560103	10	~1989
7243583	14487167	8	~1985
7243697	217310911	9	~1987
7243979	14487959	8	~1985
7244131	72441311	8	~1986
7244291	57954329	8	~1986
7244761	43468567	8	~1986
7244791	72447911	8	~1986
7245167	710026367	9	~1989
7245239	14490479	8	~1985
7245257	173886169	9	~1987
7245361	43472167	8	~1986
7245361	217360831	9
7245439	173890537	9	~1987
7245863	14491727	8	~1985

Exp.	Prime Factor	Digits	Year
7245923	14491847	8	~1985
7246133	173907193	9	~1987
7246229	173909497	9	~1987
7246363	72463631	8	~1986
7246387	289855481	9	~1988
7246559	14493119	8	~1985
7246643	14493287	8	~1985
7246667	57973337	8	~1986
7246753	43480519	8	~1986
7247257	43483543	8	~1986
7247291	14494583	8	~1985
7247333	739227967	9	~1989
7247351	14494703	8	~1985
7247393	43484359	8	~1986
7247927	130462687	9	~1987
7248119	14496239	8	~1985
7248251	57986009	8	~1986
7248299	57986393	8	~1986
7248379	72483791	8	~1986
7248497	43490983	8	~1986
7248653	217459591	9	~1987
7248739	72487391	8	~1986
7248821	43492927	8	~1986
7248881	43493287	8	~1986
7249093	115985489	9	~1987

Exp.	Prime Factor	Digits	Year
7249211	14498423	8	~1985
7249337	43496023	8	~1986
7249441	43496647	8	~1986
7249523	14499047	8	~1985
7249573	115993169	9	~1987
7249841	43499047	8	~1986
7249919	14499839	8	~1985
7249943	14499887	8	~1985
7250051	14500103	8	~1985
7250189	58001513	8	~1986
7250231	14500463	8	~1985
7250291	14500583	8	~1985
7250339	14500679	8	~1985
7250363	14500727	8	~1985
7250717	58005737	8	~1986
7250861	58006889	8	~1986
7251011	58008089	8	~1986
7251059	14502119	8	~1985
7251091	130519639	9	~1987
7251311	14502623	8	~1985
7251317	43507903	8	~1986
7251599	14503199	8	~1985
7251691	290067641	9	~1988
7251757	43510543	8	~1986
7251791	14503583	8	~1985

Exp.	Prime Factor	Digits	Year
7252187	58017497	8	~1986
7252363	72523631	8	~1986
7252381	43514287	8	~1986
7252501	43515007	8	~1986
7252571	14505143	8	~1985
7252631	14505263	8	~1985
7253063	174073513	9	~1987
7253531	14507063	8	~1985
7253669	232117409	9	~1988
7253669	391698127	9
7253837	43523023	8	~1986
7253941	43523647	8	~1986
7253957	58031657	8	~1986
7254179	14508359	8	~1985
7254419	14508839	8	~1985
7254617	43527703	8	~1986
7254743	14509487	8	~1985
7254761	43528567	8	~1986
7254803	188624879	9	~1987
7255019	14510039	8	~1985
7255067	58040537	8	~1986
7255151	14510303	8	~1985
7255693	43534159	8	~1986
7255763	14511527	8	~1985
7255951	130607119	9	~1987

5.471.290 digits

26-03-29