Small Mersenne Prime Factors (page 311/5025)

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
1453411	23254577	8	~1981
1453427	26161687	8	~1981
1453453	34882873	8	~1982
1453493	20348903	8	~1981
1453499	2906999	7	~1979
1453607	255834833	9	~1984
1453643	2907287	7	~1979
1453729	776291287	9	~1985
1453883	2907767	7	~1979
1453889	46524449	8	~1982
1453943	2907887	7	~1979
1453957	93053249	8	~1983
1453961	55250519	8	~1982
1454339	2908679	7	~1979
1454339	34904137	8
1454351	116348081	9	~1983
1454417	34906009	8	~1982
1454477	8726863	7	~1980
1454569	32000519	8	~1982
1454573	34909753	8	~1982
1454591	2909183	7	~1979
1454599	14545991	8	~1981
1454657	113463247	9	~1983
1454759	2909519	7	~1979
1454767	14547671	8	~1981

Exp.	Prime Factor	Digits	Year
1454779	14547791	8	~1981
1454779	258950663	9
1454899	130940911	9	~1983
1454987	11639897	8	~1981
1455007	14550071	8	~1981
1455019	61110799	8	~1982
1455119	46563809	8	~1982
1455199	14551991	8	~1981
1455257	34926169	8	~1982
1455329	11642633	8	~1981
1455373	8732239	7	~1980
1455409	32018999	8	~1982
1455431	2910863	7	~1979
1455431	11643449	8
1455439	61128439	8	~1982
1455683	2911367	7	~1979
1455697	23291153	8	~1981
1455847	34940329	8	~1982
1455901	43677031	8	~1982
1455941	11647529	8	~1981
1456171	14561711	8	~1981
1456321	23301137	8	~1981
1456333	43689991	8	~1982
1456391	2912783	7	~1979
1456501	8739007	7	~1980

Exp.	Prime Factor	Digits	Year
1456519	61173799	8	~1982
1456643	151490873	9	~1983
1456667	11653337	8	~1981
1456667	81573353	8
1456691	37873967	8	~1982
1456703	37874279	8	~1982
1456709	11653673	8	~1981
1456799	34963177	8	~1982
1456877	20396279	8	~1981
1456921	128209049	9	~1983
1457039	11656313	8	~1981
1457051	2914103	7	~1979
1457201	11657609	8	~1981
1457273	8743639	7	~1980
1457333	20402663	8	~1981
1457501	55385039	8	~1982
1457633	8745799	7	~1980
1457663	2915327	7	~1979
1457741	8746447	7	~1980
1457861	43735831	8	~1982
1457999	2915999	7	~1979
1458011	11664089	8	~1981
1458071	2916143	7	~1979
1458179	61243519	8	~1982
1458239	2916479	7	~1979

Exp.	Prime Factor	Digits	Year
1458343	35000233	8	~1982
1458409	35001817	8	~1982
1458593	20420303	8	~1981
1458599	2917199	7	~1979
1458623	35006953	8	~1982
1458673	8752039	7	~1980
1458713	35009113	8	~1982
1458757	8752543	7	~1980
1458841	8753047	7	~1980
1458911	2917823	7	~1979
1459061	105052393	9	~1983
1459099	14590991	8	~1981
1459123	35018953	8	~1982
1459153	8754919	7	~1980
1459153	67121039	8
1459163	2918327	7	~1979
1459259	2918519	7	~1979
1459427	26269687	8	~1981
1459453	23351249	8	~1981
1459537	43786111	8	~1982
1459583	46706657	8	~1982
1459589	43787671	8	~1982
1459691	2919383	7	~1979
1459823	2919647	7	~1979
1459823	341598583	9

4.724.182 digits

25-04-13