Small Mersenne Prime Factors (page 785/5070)

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
6365377	305538097	9	~1987
6365699	12731399	8	~1984
6365699	50925593	8
6365717	50925737	8	~1986
6366023	12732047	8	~1984
6366071	12732143	8	~1984
6366203	12732407	8	~1984
6366247	63662471	8	~1986
6366461	38198767	8	~1985
6366473	89130623	8	~1986
6366643	63666431	8	~1986
6366683	12733367	8	~1984
6366911	12733823	8	~1984
6367301	38203807	8	~1985
6367391	12734783	8	~1984
6367391	50939129	8
6367409	89143727	8	~1986
6367703	12735407	8	~1984
6367807	63678071	8	~1986
6367841	50942729	8	~1986
6367871	12735743	8	~1984
6367981	38207887	8	~1985
6368027	50944217	8	~1986
6368231	50945849	8	~1986
6368291	12736583	8	~1984

Exp.	Prime Factor	Digits	Year
6368413	38210479	8	~1985
6368431	63684311	8	~1986
6368471	12736943	8	~1984
6368867	114639607	9	~1986
6369149	343934047	9	~1988
6369401	38216407	8	~1985
6369479	12738959	8	~1984
6369523	63695231	8	~1986
6369569	152869657	9	~1987
6369667	216568679	9	~1987
6369733	38218399	8	~1985
6369823	63698231	8	~1986
6369841	38219047	8	~1985
6369971	12739943	8	~1984
6370099	63700991	8	~1986
6370261	38221567	8	~1985
6370501	38223007	8	~1985
6370583	12741167	8	~1984
6370739	12741479	8	~1984
6370853	38225119	8	~1985
6370891	101934257	9	~1986
6370943	12741887	8	~1984
6371003	12742007	8	~1984
6371051	50968409	8	~1986
6371581	38229487	8	~1985

Exp.	Prime Factor	Digits	Year
6371681	50973449	8	~1986
6371699	12743399	8	~1984
6371723	12743447	8	~1984
6371921	50975369	8	~1986
6371947	152926729	9	~1987
6372001	101952017	9	~1986
6372193	38233159	8	~1985
6372217	38233303	8	~1985
6372323	12744647	8	~1984
6372361	38234167	8	~1985
6372521	50980169	8	~1986
6372539	12745079	8	~1984
6372563	12745127	8	~1984
6372623	267650167	9	~1987
6372967	114713407	9	~1986
6373271	12746543	8	~1984
6373319	12746639	8	~1984
6373399	63733991	8	~1986
6373469	203951009	9	~1987
6373481	1274696201	10	~1989
6373571	50988569	8	~1986
6373837	1516973207	10	~1989
6373931	12747863	8	~1984
6374051	12748103	8	~1984
6374057	38244343	8	~1985

Exp.	Prime Factor	Digits	Year
6374213	38245279	8	~1985
6374339	12748679	8	~1984
6374573	38247439	8	~1985
6374659	63746591	8	~1986
6374831	12749663	8	~1984
6375191	12750383	8	~1984
6375557	38253343	8	~1985
6375557	89257799	8
6375701	38254207	8	~1985
6375751	63757511	8	~1986
6375947	51007577	8	~1986
6375959	12751919	8	~1984
6376031	12752063	8	~1984
6376031	51008249	8
6376057	38256343	8	~1985
6376081	38256487	8	~1985
6376133	89265863	8	~1986
6376399	114775183	9	~1986
6376453	102023249	9	~1986
6376739	51013913	8	~1986
6376829	51014633	8	~1986
6377081	38262487	8	~1985
6377177	38263063	8	~1985
6377411	51019289	8	~1986
6377587	63775871	8	~1986

4.768.925 digits

25-05-04