Small Mersenne Prime Factors (page 311/5340)

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
1420613	8523679	7	~1980
1420621	56824841	8	~1982
1420717	8524303	7	~1980
1420721	11365769	8	~1981
1420847	11366777	8	~1981
1420879	48309887	8	~1982
1420883	2841767	7	~1979
1420933	8525599	7	~1980
1420949	113675921	9	~1983
1421093	8526559	7	~1980
1421099	2842199	7	~1979
1421141	42634231	8	~1982
1421221	22739537	8	~1981
1421243	2842487	7	~1979
1421291	2842583	7	~1979
1421291	11370329	8
1421471	2842943	7	~1979
1421603	2843207	7	~1979
1421663	2843327	7	~1979
1421669	11373353	8	~1981
1421909	19906727	8	~1981
1422089	42662671	8	~1982
1422103	22753649	8	~1981
1422119	2844239	7	~1979
1422163	14221631	8	~1981

Exp.	Prime Factor	Digits	Year
1422193	31288247	8	~1982
1422257	8533543	7	~1980
1422257	19911599	8
1422293	170675161	9	~1983
1422367	56894681	8	~1982
1422437	68276977	8	~1982
1422563	2845127	7	~1979
1422593	8535559	7	~1980
1422721	65445167	8	~1982
1422749	19918487	8	~1981
1422749	54064463	8
1422797	8536783	7	~1980
1422977	19921679	8	~1981
1422977	34151449	8
1423091	2846183	7	~1979
1423127	79695113	8	~1983
1423181	11385449	8	~1981
1423243	14232431	8	~1981
1423327	68319697	8	~1982
1423379	2846759	7	~1979
1423379	102483289	9
1423381	748698407	9	~1985
1423391	2846783	7	~1979
1423439	11387513	8	~1981
1423451	11387609	8	~1981

Exp.	Prime Factor	Digits	Year
1423453	56938121	8	~1982
1423553	8541319	7	~1980
1423931	2847863	7	~1979
1423949	11391593	8	~1981
1423997	11391977	8	~1981
1424021	11392169	8	~1981
1424177	34180249	8	~1982
1424399	2848799	7	~1979
1424417	19941839	8	~1981
1424441	8546647	7	~1980
1424603	2849207	7	~1979
1424771	11398169	8	~1981
1424803	56992121	8	~1982
1424831	2849663	7	~1979
1424903	2849807	7	~1979
1424933	8549599	7	~1980
1424963	2849927	7	~1979
1425007	34200169	8	~1982
1425121	8550727	7	~1980
1425217	8551303	7	~1980
1425251	37056527	8	~1982
1425311	2850623	7	~1979
1425427	14254271	8	~1981
1425439	34210537	8	~1982
1425797	42773911	8	~1982

Exp.	Prime Factor	Digits	Year
1425811	136877857	9	~1983
1425821	136878817	9	~1983
1425863	2851727	7	~1979
1425899	2851799	7	~1979
1425911	139739279	9	~1983
1425917	11407337	8	~1981
1425929	19963007	8	~1981
1425967	48482879	8	~1982
1426111	14261111	8	~1981
1426141	57045641	8	~1982
1426151	2852303	7	~1979
1426163	2852327	7	~1979
1426163	59898847	8
1426211	11409689	8	~1981
1426231	22819697	8	~1981
1426361	45643553	8	~1982
1426499	2852999	7	~1979
1426543	34237033	8	~1982
1426583	2853167	7	~1979
1426673	19973423	8	~1981
1426693	8560159	7	~1980
1426717	8560303	7	~1980
1426751	2853503	7	~1979
1426807	22828913	8	~1981
1426807	34243369	8

5.037.460 digits

25-09-07