Small Mersenne Prime Factors (page 875/5295)

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
7488779	14977559	8	~1985
7488863	14977727	8	~1985
7489051	74890511	8	~1986
7489067	59912537	8	~1986
7489241	44935447	8	~1986
7489253	44935519	8	~1986
7489523	14979047	8	~1985
7489529	104853407	9	~1987
7489561	44937367	8	~1986
7489787	59918297	8	~1986
7489957	44939743	8	~1986
7490411	539309593	9	~1988
7490737	44944423	8	~1986
7490767	134833807	9	~1987
7490771	14981543	8	~1985
7490783	14981567	8	~1985
7490831	14981663	8	~1985
7491221	44947327	8	~1986
7491641	59933129	8	~1986
7492103	179810473	9	~1987
7492861	44957167	8	~1986
7492921	44957527	8	~1986
7493099	14986199	8	~1985
7493399	59947193	8	~1986
7493471	14986943	8	~1985

Exp.	Prime Factor	Digits	Year
7493777	44962663	8	~1986
7493879	14987759	8	~1985
7494119	59952953	8	~1986
7494719	59957753	8	~1986
7494743	179873833	9	~1987
7494871	299794841	9	~1988
7494917	104928839	9	~1987
7495247	59961977	8	~1986
7495511	14991023	8	~1985
7495703	14991407	8	~1985
7496143	254868863	9	~1988
7496189	59969513	8	~1986
7496519	14993039	8	~1985
7496537	44979223	8	~1986
7496579	14993159	8	~1985
7496651	59973209	8	~1986
7496843	14993687	8	~1985
7497023	14994047	8	~1985
7497107	59976857	8	~1986
7497439	74974391	8	~1986
7498019	14996039	8	~1985
7498031	374901551	9	~1988
7498033	44988199	8	~1986
7498111	434890439	9	~1988
7498301	44989807	8	~1986

Exp.	Prime Factor	Digits	Year
7498313	104976383	9	~1987
7498429	179962297	9	~1987
7498583	14997167	8	~1985
7498643	14997287	8	~1985
7498703	14997407	8	~1985
7498871	14997743	8	~1985
7499161	44994967	8	~1986
7499207	134985727	9	~1987
7499231	14998463	8	~1985
7499257	44995543	8	~1986
7499537	179988889	9	~1987
7499543	14999087	8	~1985
7499651	59997209	8	~1986
7499741	59997929	8	~1986
7499819	14999639	8	~1985
7500203	15000407	8	~1985
7500797	60006377	8	~1986
7500803	15001607	8	~1985
7500881	45005287	8	~1986
7500917	105012839	9	~1987
7501031	15002063	8	~1985
7501211	15002423	8	~1985
7501339	135024103	9	~1987
7501801	45010807	8	~1986
7501859	15003719	8	~1985

Exp.	Prime Factor	Digits	Year
7501961	60015689	8	~1986
7501993	45011959	8	~1986
7502003	15004007	8	~1985
7502171	60017369	8	~1986
7502177	45013063	8	~1986
7502189	60017513	8	~1986
7502189	105030647	9
7502413	45014479	8	~1986
7502639	15005279	8	~1985
7502711	15005423	8	~1985
7502717	45016303	8	~1986
7502819	360135313	9	~1988
7502863	75028631	8	~1986
7503109	165068399	9	~1987
7503577	45021463	8	~1986
7503701	45022207	8	~1986
7503757	45022543	8	~1986
7503959	15007919	8	~1985
7503971	15007943	8	~1985
7504099	900491881	9	~1989
7504163	15008327	8	~1985
7504339	75043391	8	~1986
7504481	45026887	8	~1986
7504643	15009287	8	~1985
7504751	15009503	8	~1985

4.992.811 digits

25-08-20