Small Mersenne Prime Factors (page 521/5340)

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
3152827	56750887	8	~1984
3152861	18917167	8	~1983
3152927	56752687	8	~1984
3152987	81977663	8	~1984
3153121	18918727	8	~1983
3153131	6306263	7	~1982
3153191	6306383	7	~1982
3153583	31535831	8	~1983
3153629	25229033	8	~1983
3153739	56767303	8	~1984
3153763	50460209	8	~1984
3153793	18922759	8	~1983
3154043	6308087	7	~1982
3154241	18925447	8	~1983
3154433	18926599	8	~1983
3154573	227129257	9	~1986
3154799	6309599	7	~1982
3154967	25239737	8	~1983
3155051	208233367	9	~1985
3155303	6310607	7	~1982
3155363	6310727	7	~1982
3155417	18932503	8	~1983
3155549	25244393	8	~1983
3155549	119910863	9
3155651	6311303	7	~1982

Exp.	Prime Factor	Digits	Year
3155777	25246217	8	~1983
3155783	6311567	7	~1982
3155819	6311639	7	~1982
3156091	31560911	8	~1983
3156431	6312863	7	~1982
3156683	75760393	8	~1984
3156697	18940183	8	~1983
3157109	25256873	8	~1983
3157139	6314279	7	~1982
3157151	25257209	8	~1983
3157751	6315503	7	~1982
3157919	6315839	7	~1982
3157919	25263353	8
3157991	6315983	7	~1982
3158339	6316679	7	~1982
3158891	6317783	7	~1982
3159203	303283489	9	~1986
3159223	202190273	9	~1985
3159371	6318743	7	~1982
3159413	758259121	9	~1987
3159647	25277177	8	~1983
3159791	6319583	7	~1982
3159881	25279049	8	~1983
3160931	6321863	7	~1982
3161329	246583663	9	~1986

Exp.	Prime Factor	Digits	Year
3161351	6322703	7	~1982
3161437	221300591	9	~1986
3161567	25292537	8	~1983
3161651	25293209	8	~1983
3161651	82202927	8
3162011	6324023	7	~1982
3162317	75895609	8	~1984
3162347	56922247	8	~1984
3162347	328884089	9
3162413	94872391	8	~1985
3162463	31624631	8	~1983
3162463	75899113	8
3162557	18975343	8	~1983
3162611	6325223	7	~1982
3162703	430127609	9	~1986
3162727	50603633	8	~1984
3162749	25301993	8	~1983
3162811	50604977	8	~1984
3162857	44279999	8	~1984
3162893	18977359	8	~1983
3162977	18977863	8	~1983
3163157	25305257	8	~1983
3163159	31631591	8	~1983
3163201	145507247	9	~1985
3163231	50611697	8	~1984

Exp.	Prime Factor	Digits	Year
3163243	50611889	8	~1984
3163297	18979783	8	~1983
3163483	50615729	8	~1984
3163571	6327143	7	~1982
3163591	31635911	8	~1983
3163597	18981583	8	~1983
3163597	246760567	9
3163619	6327239	7	~1982
3163681	18982087	8	~1983
3163739	6327479	7	~1982
3163763	6327527	7	~1982
3163793	18982759	8	~1983
3163991	6327983	7	~1982
3164167	31641671	8	~1983
3164221	50627537	8	~1984
3164519	25316153	8	~1983
3164543	75949033	8	~1984
3164663	6329327	7	~1982
3164663	75951913	8
3164723	6329447	7	~1982
3164783	6329567	7	~1982
3164911	56968399	8	~1984
3164927	75958249	8	~1984
3164939	6329879	7	~1982
3164939	56968903	8

5.037.460 digits

25-09-07