Small Mersenne Prime Factors (page 869/5490)

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
7237093	43422559	8	~1986
7237259	14474519	8	~1985
7237343	14474687	8	~1985
7237397	43424383	8	~1986
7237823	14475647	8	~1985
7237961	57903689	8	~1986
7238351	57906809	8	~1986
7238401	506688071	9	~1988
7238519	14477039	8	~1985
7238879	14477759	8	~1985
7238927	347468497	9	~1988
7239131	14478263	8	~1985
7239173	43435039	8	~1986
7239251	57914009	8	~1986
7239443	14478887	8	~1985
7239539	14479079	8	~1985
7239863	14479727	8	~1985
7239899	14479799	8	~1985
7240411	130327399	9	~1987
7240439	57923513	8	~1986
7240553	43443319	8	~1986
7240901	57927209	8	~1986
7240907	1230954191	10	~1989
7241053	115856849	9	~1987
7241257	43447543	8	~1986

Exp.	Prime Factor	Digits	Year
7241279	57930233	8	~1986
7241281	43447687	8	~1986
7241291	14482583	8	~1985
7241471	14482943	8	~1985
7241497	43448983	8	~1986
7241537	43449223	8	~1986
7241537	57932297	8
7241579	14483159	8	~1985
7241657	57933257	8	~1986
7241657	101383199	9
7241747	188285423	9	~1987
7242077	57936617	8	~1986
7242143	14484287	8	~1985
7242149	57937193	8	~1986
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

Exp.	Prime Factor	Digits	Year
7243583	14487167	8	~1985
7243697	217310911	9	~1987
7243979	14487959	8	~1985
7244291	57954329	8	~1986
7244761	43468567	8	~1986
7245167	710026367	9	~1989
7245239	14490479	8	~1985
7245257	173886169	9	~1987
7245361	43472167	8	~1986
7245439	173890537	9	~1987
7245863	14491727	8	~1985
7245923	14491847	8	~1985
7246133	173907193	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

Exp.	Prime Factor	Digits	Year
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
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

5.187.277 digits

25-11-17