Small Mersenne Prime Factors (page 430/5550)

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
2303471	41462479	8	~1983
2303501	18428009	8	~1982
2303597	13821583	8	~1982
2303597	32250359	8
2303663	4607327	7	~1981
2303783	55290793	8	~1983
2304059	18432473	8	~1982
2304139	23041391	8	~1982
2304373	161306111	9	~1984
2304461	18435689	8	~1982
2304479	4608959	7	~1981
2304553	106009439	9	~1984
2304581	13827487	8	~1982
2305169	32272367	8	~1983
2305301	18442409	8	~1982
2305483	36887729	8	~1983
2305487	41498767	8	~1983
2305613	73779617	8	~1984
2305627	36890033	8	~1983
2305643	4611287	7	~1981
2305883	4611767	7	~1981
2305949	18447593	8	~1982
2305987	55343689	8	~1983
2306053	276726361	9	~1985
2306159	4612319	7	~1981

Exp.	Prime Factor	Digits	Year
2306179	23061791	8	~1982
2306393	32289503	8	~1983
2306531	41517559	8	~1983
2306651	4613303	7	~1981
2306737	13840423	8	~1982
2306897	55365529	8	~1983
2306981	641340719	9	~1986
2307031	41526559	8	~1983
2307059	4614119	7	~1981
2307127	78442319	8	~1984
2307181	13843087	8	~1982
2307289	55374937	8	~1983
2307419	4614839	7	~1981
2307469	50764319	8	~1983
2307479	4614959	7	~1981
2307479	55379497	8
2307601	13845607	8	~1982
2307611	4615223	7	~1981
2307703	23077031	8	~1982
2307709	69231271	8	~1984
2307983	4615967	7	~1981
2307983	129247049	9
2308051	96938143	8	~1984
2308181	18465449	8	~1982
2308223	96945367	8	~1984

Exp.	Prime Factor	Digits	Year
2308391	4616783	7	~1981
2308417	13850503	8	~1982
2308483	36935729	8	~1983
2308543	23085431	8	~1982
2308589	18468713	8	~1982
2308679	4617359	7	~1981
2308907	41560327	8	~1983
2308919	4617839	7	~1981
2309023	55416553	8	~1983
2309123	4618247	7	~1981
2309327	41567887	8	~1983
2309477	18475817	8	~1982
2309519	4619039	7	~1981
2309759	4619519	7	~1981
2309761	13858567	8	~1982
2309789	55434937	8	~1983
2310233	13861399	8	~1982
2310421	50829263	8	~1983
2310431	166351033	9	~1985
2310449	679272007	9	~1986
2310479	1386287401	10	~1987
2310547	36968753	8	~1983
2310667	36970673	8	~1983
2310677	55456249	8	~1983
2310677	69320311	8

Exp.	Prime Factor	Digits	Year
2310731	73943393	8	~1984
2310733	36971729	8	~1983
2310733	55457593	8
2310751	97051543	8	~1984
2310797	69323911	8	~1984
2310911	4621823	7	~1981
2310911	18487289	8
2311009	235722919	9	~1985
2311013	32354183	8	~1983
2311051	36976817	8	~1983
2311079	18488633	8	~1982
2311333	55471993	8	~1983
2311451	4622903	7	~1981
2311451	97080943	8
2311451	115572551	9
2311469	32360567	8	~1983
2311667	41610007	8	~1983
2311811	4623623	7	~1981
2311889	87851783	8	~1984
2311931	4623863	7	~1981
2312021	18496169	8	~1982
2312147	18497177	8	~1982
2312347	41622247	8	~1983
2312381	18499049	8	~1982
2312477	55499449	8	~1983

5.247.179 digits

25-12-14