Small Mersenne Prime Factors (page 768/5205)

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
6052031	12104063	8	~1984
6052087	532583657	9	~1988
6052103	12104207	8	~1984
6052171	60521711	8	~1986
6052337	181570111	9	~1987
6052339	60523391	8	~1986
6052517	48420137	8	~1985
6052573	36315439	8	~1985
6053081	36318487	8	~1985
6053111	12106223	8	~1984
6053111	48424889	8
6053143	60531431	8	~1986
6053279	12106559	8	~1984
6053291	12106583	8	~1984
6053447	302672351	9	~1987
6053543	12107087	8	~1984
6053633	84750863	8	~1986
6053639	12107279	8	~1984
6053821	96861137	8	~1986
6053843	12107687	8	~1984
6053891	12107783	8	~1984
6054197	36325183	8	~1985
6054299	12108599	8	~1984
6054361	36326167	8	~1985
6054491	48435929	8	~1985

Exp.	Prime Factor	Digits	Year
6054551	12109103	8	~1984
6054583	60545831	8	~1986
6054617	36327703	8	~1985
6054683	12109367	8	~1984
6055163	12110327	8	~1984
6055631	12111263	8	~1984
6055639	496562399	9	~1988
6055771	109003879	9	~1986
6055913	36335479	8	~1985
6056159	12112319	8	~1984
6056201	36337207	8	~1985
6056651	12113303	8	~1984
6056723	12113447	8	~1984
6056773	36340639	8	~1985
6056951	48455609	8	~1985
6056959	60569591	8	~1986
6057221	36343327	8	~1985
6057277	36343663	8	~1985
6057419	48459353	8	~1985
6057521	230185799	9	~1987
6057731	12115463	8	~1984
6057749	48461993	8	~1985
6057977	36347863	8	~1985
6058097	48464777	8	~1985
6058543	60585431	8	~1986

Exp.	Prime Factor	Digits	Year
6058667	109056007	9	~1986
6058879	109059823	9	~1986
6058931	12117863	8	~1984
6058937	48471497	8	~1985
6058963	60589631	8	~1986
6058991	12117983	8	~1984
6059033	181770991	9	~1987
6059243	12118487	8	~1984
6059323	60593231	8	~1986
6059377	96950033	8	~1986
6059407	60594071	8	~1986
6059519	12119039	8	~1984
6059723	12119447	8	~1984
6059891	157557167	9	~1987
6059903	254515927	9	~1987
6060137	36360823	8	~1985
6060151	60601511	8	~1986
6060581	48484649	8	~1985
6060749	48485993	8	~1985
6061001	48488009	8	~1985
6061031	12122063	8	~1984
6061091	48488729	8	~1985
6061157	36366943	8	~1985
6061243	436409497	9	~1988
6061271	12122543	8	~1984

Exp.	Prime Factor	Digits	Year
6061403	12122807	8	~1984
6061439	12122879	8	~1984
6061439	193966049	9
6061541	36369247	8	~1985
6061553	181846591	9	~1987
6061751	48494009	8	~1985
6061921	36371527	8	~1985
6062249	181867471	9	~1987
6062291	12124583	8	~1984
6062603	12125207	8	~1984
6063193	36379159	8	~1985
6063419	12126839	8	~1984
6063427	60634271	8	~1986
6063503	12127007	8	~1984
6063587	48508697	8	~1985
6063899	12127799	8	~1984
6064199	12128399	8	~1984
6064213	133412687	9	~1987
6064217	48513737	8	~1985
6064319	12128639	8	~1984
6064703	12129407	8	~1984
6065051	12130103	8	~1984
6065117	36390703	8	~1985
6065159	12130319	8	~1984
6065167	60651671	8	~1986

4.903.097 digits

25-07-08