Small Mersenne Prime Factors (page 331/5130)

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
1582589	60138383	8
1582597	9495583	7	~1981
1582799	3165599	7	~1979
1582877	9497263	7	~1981
1582957	47488711	8	~1982
1582991	50655713	8	~1982
1583027	12664217	8	~1981
1583149	34829279	8	~1982
1583161	9498967	7	~1981
1583167	25330673	8	~1982
1583171	66493183	8	~1983
1583293	47498791	8	~1982
1583339	3166679	7	~1979
1583447	38002729	8	~1982
1583497	9500983	7	~1981
1583657	85517479	8	~1983
1583809	38011417	8	~1982
1583843	3167687	7	~1979
1583861	9503167	7	~1981
1583863	243914903	9	~1984
1583917	25342673	8	~1982
1583999	3167999	7	~1979
1584017	12672137	8	~1981
1584031	139394729	9	~1983
1584047	12672377	8	~1981

Exp.	Prime Factor	Digits	Year
1584059	3168119	7	~1979
1584083	3168167	7	~1979
1584139	15841391	8	~1981
1584169	63366761	8	~1983
1584269	50696609	8	~1982
1584371	12674969	8	~1981
1584403	25350449	8	~1982
1584431	3168863	7	~1979
1584431	12675449	8
1584491	3168983	7	~1979
1584623	3169247	7	~1979
1584629	12677033	8	~1981
1584701	9508207	7	~1981
1584881	202864769	9	~1984
1584901	34867823	8	~1982
1584931	215550617	9	~1984
1584941	12679529	8	~1981
1584959	3169919	7	~1979
1584959	12679673	8
1584971	12679769	8	~1981
1585033	9510199	7	~1981
1585127	41213303	8	~1982
1585249	38045977	8	~1982
1585279	139504553	9	~1983
1585399	15853991	8	~1981

Exp.	Prime Factor	Digits	Year
1585457	60247367	8	~1983
1585513	9513079	7	~1981
1585559	12684473	8	~1981
1585673	38056153	8	~1982
1585679	3171359	7	~1979
1585687	15856871	8	~1981
1585687	25370993	8
1585799	3171599	7	~1979
1585819	15858191	8	~1981
1585901	12687209	8	~1981
1585973	9515839	7	~1981
1586027	12688217	8	~1981
1586093	22205303	8	~1981
1586113	9516679	7	~1981
1586401	9518407	7	~1981
1586531	12692249	8	~1981
1586537	60288407	8	~1983
1586581	9519487	7	~1981
1586693	22213703	8	~1981
1586723	41254799	8	~1982
1586771	12694169	8	~1981
1586777	60297527	8	~1983
1586951	3173903	7	~1979
1587109	111097631	9	~1983
1587251	12698009	8	~1981

Exp.	Prime Factor	Digits	Year
1587323	41270399	8	~1982
1587349	114289129	9	~1983
1587683	50805857	8	~1982
1587701	241330553	9	~1984
1587739	38105737	8	~1982
1587787	15877871	8	~1981
1587877	9527263	7	~1981
1587923	3175847	7	~1979
1587923	79396151	8
1588063	25409009	8	~1982
1588163	165168953	9	~1984
1588193	22234703	8	~1981
1588211	3176423	7	~1979
1588253	9529519	7	~1981
1588399	15883991	8	~1981
1588439	3176879	7	~1979
1588451	50830433	8	~1982
1588567	101668289	9	~1983
1588757	9532543	7	~1981
1588757	12710057	8
1588877	85799359	8	~1983
1589083	25425329	8	~1982
1589129	76278193	8	~1983
1589183	3178367	7	~1979
1589251	15892511	8	~1981

4.828.532 digits

25-06-01