Small Mersenne Prime Factors (page 363/5340)

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
1803097	10818583	8	~1981
1803299	259675057	9	~1984
1803383	3606767	7	~1980
1803497	14427977	8	~1981
1803523	18035231	8	~1982
1803551	3607103	7	~1980
1803577	10821463	8	~1981
1803667	173152033	9	~1984
1803743	43289833	8	~1982
1803863	3607727	7	~1980
1804037	25256519	8	~1982
1804133	25257863	8	~1982
1804381	10826287	8	~1981
1804391	3608783	7	~1980
1804391	32479039	8
1804403	3608807	7	~1980
1804613	10827679	8	~1981
1804687	249046807	9	~1984
1804709	14437673	8	~1981
1804711	86626129	8	~1983
1804871	3609743	7	~1980
1804951	28879217	8	~1982
1804991	75809623	8	~1983
1805039	14440313	8	~1981
1805087	14440697	8	~1981

Exp.	Prime Factor	Digits	Year
1805087	43322089	8
1805261	14442089	8	~1981
1805299	451324751	9	~1985
1805483	57775457	8	~1983
1805537	10833223	8	~1981
1805561	14444489	8	~1981
1805641	10833847	8	~1981
1805651	3611303	7	~1980
1805819	32504743	8	~1982
1805821	83067767	8	~1983
1806011	3612023	7	~1980
1806023	3612047	7	~1980
1806191	14449529	8	~1981
1806221	14449769	8	~1981
1806251	3612503	7	~1980
1806373	28901969	8	~1982
1806383	46965959	8	~1983
1806461	10838767	8	~1981
1806461	54193831	8
1806479	274584809	9	~1984
1806491	14451929	8	~1981
1806491	32516839	8
1806499	202327889	9	~1984
1806557	10839343	8	~1981
1806557	14452457	8

Exp.	Prime Factor	Digits	Year
1806697	10840183	8	~1981
1806797	10840783	8	~1981
1806803	3613607	7	~1980
1806859	18068591	8	~1982
1806971	14455769	8	~1981
1807063	18070631	8	~1982
1807237	10843423	8	~1981
1807391	3614783	7	~1980
1807397	25303559	8	~1982
1807499	14459993	8	~1981
1807511	57840353	8	~1983
1807693	10846159	8	~1981
1807723	18077231	8	~1982
1807781	57848993	8	~1983
1807829	25309607	8	~1982
1807853	25309943	8	~1982
1807969	72318761	8	~1983
1808003	3616007	7	~1980
1808039	3616079	7	~1980
1808039	14464313	8
1808071	28929137	8	~1982
1808077	10848463	8	~1981
1808117	68708447	8	~1983
1808297	68715287	8	~1983
1808453	25318343	8	~1982

Exp.	Prime Factor	Digits	Year
1808479	18084791	8	~1982
1808549	25319687	8	~1982
1808581	28937297	8	~1982
1808813	10852879	8	~1981
1808831	14470649	8	~1981
1808843	3617687	7	~1980
1808869	256859399	9	~1984
1808951	3617903	7	~1980
1809373	28949969	8	~1982
1809403	72376121	8	~1983
1809419	275031689	9	~1984
1809461	86854129	8	~1983
1809551	3619103	7	~1980
1809551	32571919	8
1809553	43429273	8	~1982
1809631	18096311	8	~1982
1809853	10859119	8	~1981
1809911	76016263	8	~1983
1810001	14480009	8	~1981
1810097	10860583	8	~1981
1810283	3620567	7	~1980
1810397	14483177	8	~1981
1810397	68795087	8
1810423	43450153	8	~1982
1810439	3620879	7	~1980

5.037.460 digits

25-09-07