Small Mersenne Prime Factors (page 911/6015)

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
7481987	59855897	8	~1986
7482119	14964239	8	~1985
7482179	14964359	8	~1985
7482239	59857913	8	~1986
7482263	14964527	8	~1985
7482313	44893879	8	~1986
7482539	14965079	8	~1985
7482733	44896399	8	~1986
7482791	14965583	8	~1985
7482829	164622239	9	~1987
7482857	44897143	8	~1986
7483019	59864153	8	~1986
7483271	14966543	8	~1985
7483403	14966807	8	~1985
7483649	59869193	8	~1986
7483733	4595012063	10	~1991
7483867	134709607	9	~1987
7483919	59871353	8	~1986
7484357	179624569	9	~1987
7484579	59876633	8	~1986
7484723	14969447	8	~1985
7485077	59880617	8	~1986
7485337	179648089	9	~1987
7485497	59883977	8	~1986
7485851	14971703	8	~1985

Exp.	Prime Factor	Digits	Year
7486043	179665033	9	~1987
7486463	14972927	8	~1985
7486537	44919223	8	~1986
7486541	44919247	8	~1986
7486571	14973143	8	~1985
7486631	14973263	8	~1985
7486819	74868191	8	~1986
7486907	59895257	8	~1986
7487131	74871311	8	~1986
7487287	74872871	8	~1986
7487321	59898569	8	~1986
7487621	59900969	8	~1986
7487917	44927503	8	~1986
7488101	44928607	8	~1986
7488101	59904809	8
7488137	104833919	9	~1987
7488227	59905817	8	~1986
7488307	74883071	8	~1986
7488311	14976623	8	~1985
7488419	14976839	8	~1985
7488499	74884991	8	~1986
7488671	14977343	8	~1985
7488683	14977367	8	~1985
7488739	74887391	8	~1986
7488779	14977559	8	~1985

Exp.	Prime Factor	Digits	Year
7488863	14977727	8	~1985
7489051	74890511	8	~1986
7489067	59912537	8	~1986
7489241	44935447	8	~1986
7489253	44935519	8	~1986
7489523	14979047	8	~1985
7489529	104853407	9	~1987
7489561	44937367	8	~1986
7489787	59918297	8	~1986
7489957	44939743	8	~1986
7489981	164779583	9	~1987
7490411	539309593	9	~1989
7490491	74904911	8	~1986
7490551	74905511	8	~1986
7490737	44944423	8	~1986
7490767	134833807	9	~1987
7490771	14981543	8	~1985
7490783	14981567	8	~1985
7490831	14981663	8	~1985
7491221	44947327	8	~1986
7491641	59933129	8	~1986
7492103	179810473	9	~1987
7492861	44957167	8	~1986
7492921	44957527	8	~1986
7493099	14986199	8	~1985

Exp.	Prime Factor	Digits	Year
7493399	59947193	8	~1986
7493471	14986943	8	~1985
7493777	44962663	8	~1986
7493879	14987759	8	~1985
7494119	59952953	8	~1986
7494719	59957753	8	~1986
7494743	179873833	9	~1987
7494871	299794841	9	~1988
7494917	104928839	9	~1987
7495247	59961977	8	~1986
7495511	14991023	8	~1985
7495703	14991407	8	~1985
7496143	254868863	9	~1988
7496189	59969513	8	~1986
7496519	14993039	8	~1985
7496537	44979223	8	~1986
7496579	14993159	8	~1985
7496651	59973209	8	~1986
7496843	14993687	8	~1985
7496899	74968991	8	~1986
7497023	14994047	8	~1985
7497107	59976857	8	~1986
7497439	74974391	8	~1986
7498019	14996039	8	~1985
7498031	374901551	9	~1988

5.710.620 digits

26-07-19