Small Mersenne Prime Factors (page 756/6105)

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
5422013	32532079	8	~1985
5422019	10844039	8	~1984
5422051	54220511	8	~1985
5422493	32534959	8	~1985
5422517	43380137	8	~1985
5422553	32535319	8	~1985
5422663	86762609	8	~1986
5422673	75917423	8	~1986
5423003	10846007	8	~1984
5423317	249472583	9	~1987
5423689	509826767	9	~1988
5423771	43390169	8	~1985
5423773	32542639	8	~1985
5423819	43390553	8	~1985
5423843	10847687	8	~1984
5423857	130172569	9	~1986
5424103	86785649	8	~1986
5424157	32544943	8	~1985
5424563	390568537	9	~1987
5424641	32547847	8	~1985
5424667	54246671	8	~1985
5424691	607565393	9	~1988
5424961	32549767	8	~1985
5424983	10849967	8	~1984
5425019	10850039	8	~1984

Exp.	Prime Factor	Digits	Year
5425187	43401497	8	~1985
5425223	10850447	8	~1984
5425249	119355479	9	~1986
5425333	32551999	8	~1985
5425339	97656103	8	~1986
5425513	86808209	8	~1986
5425757	43406057	8	~1985
5425993	32555959	8	~1985
5426467	54264671	8	~1985
5426527	54265271	8	~1985
5426899	97684183	8	~1986
5426917	86830673	8	~1986
5426917	217076681	9
5427017	43416137	8	~1985
5427283	54272831	8	~1985
5427431	10854863	8	~1984
5427473	32564839	8	~1985
5427497	130259929	9	~1986
5427557	293088079	9	~1987
5427671	10855343	8	~1984
5427809	75989327	8	~1986
5427833	75989663	8	~1986
5427899	10855799	8	~1984
5427923	10855847	8	~1984
5428387	54283871	8	~1985

Exp.	Prime Factor	Digits	Year
5428561	32571367	8	~1985
5428571	43428569	8	~1985
5428673	76001423	8	~1986
5428679	10857359	8	~1984
5428783	217151321	9	~1987
5429071	54290711	8	~1985
5429107	488619631	9	~1988
5429147	130299529	9	~1986
5429321	43434569	8	~1985
5429401	32576407	8	~1985
5429731	54297311	8	~1985
5429807	43438457	8	~1985
5430059	10860119	8	~1984
5430317	43442537	8	~1985
5430349	130328377	9	~1986
5430443	10860887	8	~1984
5430791	10861583	8	~1984
5430907	54309071	8	~1985
5430959	10861919	8	~1984
5430961	32585767	8	~1985
5431037	32586223	8	~1985
5431121	43448969	8	~1985
5431277	32587663	8	~1985
5431583	271579151	9	~1987
5431799	10863599	8	~1984

Exp.	Prime Factor	Digits	Year
5431819	54318191	8	~1985
5431949	43455593	8	~1985
5432087	43456697	8	~1985
5432227	97780087	8	~1986
5432351	10864703	8	~1984
5432351	97782319	8
5432417	43459337	8	~1985
5432579	43460633	8	~1985
5432597	76056359	8	~1986
5432621	32595727	8	~1985
5433101	32598607	8	~1985
5433137	76063919	8	~1986
5433293	32599759	8	~1985
5433343	54333431	8	~1985
5433419	10866839	8	~1984
5433431	43467449	8	~1985
5433479	10866959	8	~1984
5433517	32601103	8	~1985
5433731	10867463	8	~1984
5433731	97807159	8
5433787	86940593	8	~1986
5433797	76073159	8	~1986
5433839	10867679	8	~1984
5433997	32603983	8	~1985
5434031	43472249	8	~1985

5.800.574 digits

26-08-30