Small Mersenne Prime Factors (page 307/5025)

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
1424399	2848799	7	~1979
1424417	19941839	8	~1981
1424441	8546647	7	~1980
1424603	2849207	7	~1979
1424771	11398169	8	~1980
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
1425811	136877857	9	~1983
1425821	136878817	9	~1983
1425863	2851727	7	~1979
1425899	2851799	7	~1979
1425917	11407337	8	~1980
1425929	19963007	8	~1981
1425967	48482879	8	~1982

Exp.	Prime Factor	Digits	Year
1426111	14261111	8	~1981
1426141	57045641	8	~1982
1426151	2852303	7	~1979
1426163	2852327	7	~1979
1426163	59898847	8
1426211	11409689	8	~1980
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
1426811	342434641	9	~1984
1427191	14271911	8	~1981
1427341	22837457	8	~1981
1427399	2854799	7	~1979
1427479	14274791	8	~1981
1427501	11420009	8	~1981
1427501	54245039	8
1427521	168447479	9	~1983

Exp.	Prime Factor	Digits	Year
1427753	19988543	8	~1981
1427957	8567743	7	~1980
1427963	2855927	7	~1979
1428029	19992407	8	~1981
1428127	22850033	8	~1981
1428179	11425433	8	~1981
1428209	19994927	8	~1981
1428419	217119689	9	~1984
1428431	2856863	7	~1979
1428431	25711759	8
1428491	11427929	8	~1981
1428673	34288153	8	~1982
1428709	31431599	8	~1982
1428853	22861649	8	~1981
1429061	8574367	7	~1980
1429067	34297609	8	~1982
1429201	8575207	7	~1980
1429283	45737057	8	~1982
1429367	11434937	8	~1981
1429451	2858903	7	~1979
1429523	2859047	7	~1979
1429531	14295311	8	~1981
1429573	57182921	8	~1982
1429721	8578327	7	~1980
1429741	57189641	8	~1982

Exp.	Prime Factor	Digits	Year
1429763	45752417	8	~1982
1429817	8578903	7	~1980
1429829	11438633	8	~1981
1429859	11438873	8	~1981
1429861	8579167	7	~1980
1429871	2859743	7	~1979
1429913	80075129	8	~1983
1430027	11440217	8	~1981
1430287	82956647	8	~1983
1430293	22884689	8	~1981
1430381	11443049	8	~1981
1430413	42912391	8	~1982
1430603	34334473	8	~1982
1430641	8583847	7	~1980
1430729	20030207	8	~1981
1430813	20031383	8	~1981
1430857	34340569	8	~1982
1430861	11446889	8	~1981
1430921	11447369	8	~1981
1430939	34342537	8	~1982
1430953	8585719	7	~1980
1430969	11447753	8	~1981
1431173	8587039	7	~1980
1431223	14312231	8	~1981
1431257	8587543	7	~1980

4.724.182 digits

25-04-13