Small Mersenne Prime Factors (page 300/5130)

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
1363099	32714377	8	~1982
1363151	2726303	7	~1979
1363259	10906073	8	~1980
1363277	65437297	8	~1982
1363301	8179807	7	~1980
1363559	2727119	7	~1979
1363679	2727359	7	~1979
1363811	2727623	7	~1979
1363811	43641953	8
1363909	40917271	8	~1982
1363993	21823889	8	~1981
1364039	2728079	7	~1979
1364141	10913129	8	~1980
1364191	13641911	8	~1981
1364221	21827537	8	~1981
1364263	13642631	8	~1981
1364351	2728703	7	~1979
1364417	19101839	8	~1981
1364483	2728967	7	~1979
1364581	54583241	8	~1982
1364581	62770727	8
1364663	2729327	7	~1979
1364719	65506513	8	~1982
1364861	10918889	8	~1980
1365029	10920233	8	~1980

Exp.	Prime Factor	Digits	Year
1365071	76443977	8	~1982
1365103	21841649	8	~1981
1365137	8190823	7	~1980
1365163	57336847	8	~1982
1365167	32764009	8	~1982
1365197	19112759	8	~1981
1365251	24574519	8	~1981
1365311	24575599	8	~1981
1365361	8192167	7	~1980
1365461	281284967	9	~1984
1365659	24581863	8	~1981
1365667	210312719	9	~1984
1365703	13657031	8	~1981
1365719	10925753	8	~1980
1365733	8194399	7	~1980
1365821	65559409	8	~1982
1365911	2731823	7	~1979
1365977	19123679	8	~1981
1365979	65566993	8	~1982
1365983	32783593	8	~1982
1366019	10928153	8	~1980
1366117	40983511	8	~1982
1366213	8197279	7	~1980
1366289	40988671	8	~1982
1366397	19129559	8	~1981

Exp.	Prime Factor	Digits	Year
1366433	73787383	8	~1982
1366471	13664711	8	~1981
1366481	10931849	8	~1980
1366529	51928103	8	~1982
1366649	43732769	8	~1982
1366657	128465759	9	~1983
1366721	8200327	7	~1980
1366769	98407369	8	~1983
1366907	10935257	8	~1980
1366907	35539583	8
1366921	8201527	7	~1980
1366979	65614993	8	~1982
1367117	8202703	7	~1980
1367161	8202967	7	~1980
1367167	21874673	8	~1981
1367279	65629393	8	~1982
1367323	21877169	8	~1981
1367459	24614263	8	~1981
1367501	10940009	8	~1980
1367521	41025631	8	~1982
1367539	13675391	8	~1981
1367543	2735087	7	~1979
1367593	8205559	7	~1980
1367789	10942313	8	~1980
1367893	8207359	7	~1980

Exp.	Prime Factor	Digits	Year
1367921	10943369	8	~1980
1368071	2736143	7	~1979
1368121	8208727	7	~1980
1368287	10946297	8	~1980
1368287	24629167	8
1368331	13683311	8	~1981
1368337	21893393	8	~1981
1368349	30103679	8	~1981
1368599	32846377	8	~1982
1368683	2737367	7	~1979
1368727	54749081	8	~1982
1368791	2737583	7	~1979
1368793	8212759	7	~1980
1368803	2737607	7	~1979
1368967	46544879	8	~1982
1368971	24641479	8	~1981
1369009	54760361	8	~1982
1369019	2738039	7	~1979
1369021	8214127	7	~1980
1369139	2738279	7	~1979
1369391	2738783	7	~1979
1369393	21910289	8	~1981
1369451	43822433	8	~1982
1369457	8216743	7	~1980
1369457	19172399	8

4.828.532 digits

25-06-01