Small Mersenne Prime Factors (page 756/5025)

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
6007721	36046327	8	~1985
6007739	48061913	8	~1985
6007873	96125969	8	~1986
6007877	48063017	8	~1985
6007891	60078911	8	~1986
6007931	12015863	8	~1984
6008081	36048487	8	~1985
6008143	60081431	8	~1986
6008257	36049543	8	~1985
6008363	12016727	8	~1984
6008399	12016799	8	~1984
6008491	60084911	8	~1986
6008867	48070937	8	~1985
6008881	36053287	8	~1985
6008881	96142097	8
6008897	36053383	8	~1985
6009011	12018023	8	~1984
6009337	36056023	8	~1985
6009533	36057199	8	~1985
6009599	12019199	8	~1984
6009611	12019223	8	~1984
6009677	48077417	8	~1985
6009713	36058279	8	~1985
6009761	36058567	8	~1985
6009761	48078089	8

Exp.	Prime Factor	Digits	Year
6009791	12019583	8	~1984
6009797	36058783	8	~1985
6009851	12019703	8	~1984
6009853	36059119	8	~1985
6009901	36059407	8	~1985
6010379	12020759	8	~1984
6010393	432748297	9	~1988
6010451	12020903	8	~1984
6010603	60106031	8	~1986
6010643	12021287	8	~1984
6010919	48087353	8	~1985
6010967	48087737	8	~1985
6011111	12022223	8	~1984
6011143	60111431	8	~1986
6011171	12022343	8	~1984
6011363	12022727	8	~1984
6011639	12023279	8	~1984
6012337	36074023	8	~1985
6012401	48099209	8	~1985
6012491	12024983	8	~1984
6012619	60126191	8	~1986
6012659	12025319	8	~1984
6012731	12025463	8	~1984
6013153	36078919	8	~1985
6013211	12026423	8	~1984

Exp.	Prime Factor	Digits	Year
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
6017213	36103279	8	~1985
6017597	48140777	8	~1985
6017603	12035207	8	~1984
6017701	36106207	8	~1985
6017773	36106639	8	~1985

Exp.	Prime Factor	Digits	Year
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
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
6020543	12041087	8	~1984
6020627	48165017	8	~1985
6020717	48165737	8	~1985
6020831	12041663	8	~1984
6020999	12041999	8	~1984
6021209	48169673	8	~1985

4.724.182 digits

25-04-13