Small Mersenne Prime Factors (page 324/5550)

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
1490633	20868863	8	~1981
1490641	32794103	8	~1982
1490669	56645423	8	~1982
1490717	8944303	7	~1980
1490717	11925737	8
1490737	80499799	8	~1983
1490933	80510383	8	~1983
1490959	59638361	8	~1982
1490969	56656823	8	~1982
1490999	2981999	7	~1979
1491103	59644121	8	~1982
1491199	14911991	8	~1981
1491227	38771903	8	~1982
1491239	11929913	8	~1981
1491377	44741311	8	~1982
1491571	23865137	8	~1981
1491649	71599153	8	~1983
1491683	2983367	7	~1979
1491739	35801737	8	~1982
1491839	2983679	7	~1979
1491911	38789687	8	~1982
1492019	2984039	7	~1979
1492087	23873393	8	~1981
1492103	2984207	7	~1979
1492103	107431417	9

Exp.	Prime Factor	Digits	Year
1492133	8952799	7	~1980
1492163	2984327	7	~1979
1492201	8953207	7	~1980
1492213	68641799	8	~1983
1492223	2984447	7	~1979
1492273	8953639	7	~1980
1492273	59690921	8
1492343	47754977	8	~1982
1492417	71636017	8	~1983
1492529	92536799	8	~1983
1492567	14925671	8	~1981
1492597	23881553	8	~1981
1492607	11940857	8	~1981
1492643	2985287	7	~1979
1492871	253788071	9	~1984
1493057	8958343	7	~1980
1493071	59722841	8	~1982
1493189	56741183	8	~1982
1493207	11945657	8	~1981
1493279	2986559	7	~1979
1493291	2986583	7	~1979
1493293	35839033	8	~1982
1493311	23892977	8	~1981
1493333	8959999	7	~1980
1493483	2986967	7	~1979

Exp.	Prime Factor	Digits	Year
1493483	74674151	8
1493539	14935391	8	~1981
1493567	11948537	8	~1981
1493573	8961439	7	~1980
1493743	14937431	8	~1981
1493759	2987519	7	~1979
1493759	47800289	8
1493771	47800673	8	~1982
1493929	250980073	9	~1984
1494029	35856697	8	~1982
1494071	2988143	7	~1979
1494089	11952713	8	~1981
1494133	32870927	8	~1982
1494289	152417479	9	~1983
1494347	11954777	8	~1981
1494421	286928833	9	~1984
1494617	478277441	9	~1985
1494659	2989319	7	~1979
1494743	2989487	7	~1979
1494869	11958953	8	~1981
1494907	26908327	8	~1982
1495003	35880073	8	~1982
1495009	44850271	8	~1982
1495093	23921489	8	~1981
1495363	62805247	8	~1982

Exp.	Prime Factor	Digits	Year
1495463	2990927	7	~1979
1495463	2156457647	10
1495477	23927633	8	~1981
1495489	32900759	8	~1982
1495727	11965817	8	~1981
1495777	8974663	7	~1980
1495853	47867297	8	~1982
1495859	2991719	7	~1979
1495861	32908943	8	~1982
1495973	8975839	7	~1980
1496149	71815153	8	~1983
1496279	2992559	7	~1979
1496279	62843719	8
1496321	44889631	8	~1982
1496479	170598607	9	~1984
1496489	11971913	8	~1981
1496723	2993447	7	~1979
1496749	104772431	9	~1983
1496779	14967791	8	~1981
1496783	2993567	7	~1979
1496827	26942887	8	~1982
1496941	8981647	7	~1980
1497061	8982367	7	~1980
1497149	11977193	8	~1981
1497211	86838239	8	~1983

5.247.179 digits

25-12-14