Small Mersenne Prime Factors (page 765/5205)

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
6012619	60126191	8	~1986
6012659	12025319	8	~1984
6012731	12025463	8	~1984
6013153	36078919	8	~1985
6013211	12026423	8	~1984
6013379	12026759	8	~1984
6013541	48108329	8	~1985
6013901	48111209	8	~1985
6013993	96223889	8	~1986
6014137	36084823	8	~1985
6014159	12028319	8	~1984
6014161	36084967	8	~1985
6014269	180428071	9	~1987
6014423	12028847	8	~1984
6014483	12028967	8	~1984
6015539	12031079	8	~1984
6015623	12031247	8	~1984
6015701	228596639	9	~1987
6015721	36094327	8	~1985
6015851	12031703	8	~1984
6015917	36095503	8	~1985
6016583	12033167	8	~1984
6016853	36101119	8	~1985
6016991	48135929	8	~1985
6017009	48136073	8	~1985

Exp.	Prime Factor	Digits	Year
6017213	36103279	8	~1985
6017597	48140777	8	~1985
6017603	12035207	8	~1984
6017701	36106207	8	~1985
6017773	36106639	8	~1985
6017827	60178271	8	~1986
6017831	3478306319	10	~1990
6017897	48143177	8	~1985
6017899	60178991	8	~1986
6017987	48143897	8	~1985
6018781	180563431	9	~1987
6018869	228717023	9	~1987
6018937	96302993	8	~1986
6019001	48152009	8	~1985
6019103	12038207	8	~1984
6019193	36115159	8	~1985
6019199	12038399	8	~1984
6019267	96308273	8	~1986
6019757	48158057	8	~1985
6020177	84282479	8	~1986
6020257	36121543	8	~1985
6020257	96324113	8
6020291	12040583	8	~1984
6020297	36121783	8	~1985
6020351	12040703	8	~1984

Exp.	Prime Factor	Digits	Year
6020543	12041087	8	~1984
6020627	48165017	8	~1985
6020717	48165737	8	~1985
6020831	12041663	8	~1984
6020999	12041999	8	~1984
6021209	48169673	8	~1985
6021479	48171833	8	~1985
6021523	60215231	8	~1986
6021577	36129463	8	~1985
6021751	60217511	8	~1986
6021863	12043727	8	~1984
6021997	36131983	8	~1985
6022061	48176489	8	~1985
6022117	36132703	8	~1985
6022171	96354737	8	~1986
6022283	12044567	8	~1984
6022319	12044639	8	~1984
6022579	60225791	8	~1986
6022781	48182249	8	~1985
6022801	240912041	9	~1987
6023029	289105393	9	~1987
6023051	12046103	8	~1984
6023111	48184889	8	~1985
6023243	12046487	8	~1984
6023461	132516143	9	~1986

Exp.	Prime Factor	Digits	Year
6023527	60235271	8	~1986
6023621	36141727	8	~1985
6023639	12047279	8	~1984
6023639	686694847	9
6023663	12047327	8	~1984
6023777	48190217	8	~1985
6023939	48191513	8	~1985
6024071	12048143	8	~1984
6024097	36144583	8	~1985
6024127	60241271	8	~1986
6024493	36146959	8	~1985
6024659	12049319	8	~1984
6024679	289184593	9	~1987
6024731	12049463	8	~1984
6024911	12049823	8	~1984
6024917	84348839	8	~1986
6024983	12049967	8	~1984
6025099	60250991	8	~1986
6025207	96403313	8	~1986
6025421	48203369	8	~1985
6025583	12051167	8	~1984
6025619	12051239	8	~1984
6025637	36153823	8	~1985
6025703	12051407	8	~1984
6025781	36154687	8	~1985

4.903.097 digits

25-07-08