Small Mersenne Prime Factors (page 926/6105)

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
7628681	45772087	8	~1986
7628867	183092809	9	~1987
7628947	76289471	8	~1986
7629071	15258143	8	~1985
7629179	61033433	8	~1986
7629187	76291871	8	~1986
7629299	15258599	8	~1985
7629851	15259703	8	~1985
7630067	61040537	8	~1986
7630081	45780487	8	~1986
7630211	15260423	8	~1985
7630477	122087633	9	~1987
7630589	549402409	9	~1989
7630643	15261287	8	~1985
7630789	1144618351	10	~1989
7630817	45784903	8	~1986
7631051	15262103	8	~1985
7631381	45788287	8	~1986
7631489	106840847	9	~1987
7631537	61052297	8	~1986
7631551	76315511	8	~1986
7631761	45790567	8	~1986
7631831	15263663	8	~1985
7631881	45791287	8	~1986
7631951	61055609	8	~1986

Exp.	Prime Factor	Digits	Year
7632011	15264023	8	~1985
7632011	61056089	8
7632059	61056473	8	~1986
7632143	15264287	8	~1985
7632211	76322111	8	~1986
7632533	45795199	8	~1986
7632641	45795847	8	~1986
7632719	61061753	8	~1986
7632971	137393479	9	~1987
7633091	15266183	8	~1985
7633091	137395639	9
7633627	49649110009	11	~1993
7633679	15267359	8	~1985
7633679	61069433	8
7633859	15267719	8	~1985
7633859	61070873	8
7634093	45804559	8	~1986
7634113	45804679	8	~1986
7634357	61074857	8	~1986
7634441	45806647	8	~1986
7634519	15269039	8	~1985
7634719	76347191	8	~1986
7634911	76349111	8	~1986
7634969	106889567	9	~1987
7635059	15270119	8	~1985

Exp.	Prime Factor	Digits	Year
7635347	366496657	9	~1988
7635647	61085177	8	~1986
7635899	15271799	8	~1985
7636093	45816559	8	~1986
7636931	61095449	8	~1986
7637011	76370111	8	~1986
7637033	45822199	8	~1986
7637243	15274487	8	~1985
7637323	183295753	9	~1987
7637351	15274703	8	~1985
7637599	137476783	9	~1987
7637803	76378031	8	~1986
7637977	45827863	8	~1986
7638167	61105337	8	~1986
7638173	45829039	8	~1986
7638517	45831103	8	~1986
7638557	45831343	8	~1986
7638641	244436513	9	~1988
7638941	45833647	8	~1986
7639271	61114169	8	~1986
7639319	137507743	9	~1987
7639721	61117769	8	~1986
7639739	15279479	8	~1985
7639759	76397591	8	~1986
7639799	15279599	8	~1985

Exp.	Prime Factor	Digits	Year
7639883	15279767	8	~1985
7640141	61121129	8	~1986
7640183	15280367	8	~1985
7640351	15280703	8	~1985
7640357	61122857	8	~1986
7640377	45842263	8	~1986
7640707	137532727	9	~1987
7640707	259784039	9
7640723	15281447	8	~1985
7640821	45844927	8	~1986
7640933	106973063	9	~1987
7641071	61128569	8	~1986
7641131	15282263	8	~1985
7641197	45847183	8	~1986
7641241	45847447	8	~1986
7641353	45848119	8	~1986
7641377	61131017	8	~1986
7641479	15282959	8	~1985
7641611	61132889	8	~1986
7641671	15283343	8	~1985
7641709	305668361	9	~1988
7641839	15283679	8	~1985
7642139	15284279	8	~1985
7642403	15284807	8	~1985
7642577	45855463	8	~1986

5.800.574 digits

26-08-30