Small Mersenne Prime Factors (page 1001/5490)

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
9233579	18467159	8	~1985
9233659	221607817	9	~1988
9233743	92337431	8	~1987
9233821	55402927	8	~1987
9234299	18468599	8	~1985
9234359	18468719	8	~1985
9234479	18468959	8	~1985
9234479	387848119	9
9234517	55407103	8	~1987
9234713	55408279	8	~1987
9235511	18471023	8	~1985
9235559	18471119	8	~1985
9235703	18471407	8	~1985
9235739	166243303	9	~1988
9235823	18471647	8	~1985
9235847	609565903	9	~1989
9235931	18471863	8	~1985
9236657	73893257	8	~1987
9236663	18473327	8	~1985
9236723	18473447	8	~1985
9236897	55421383	8	~1987
9237199	166269583	9	~1988
9237377	55424263	8	~1987
9237551	18475103	8	~1985
9237929	73903433	8	~1987

Exp.	Prime Factor	Digits	Year
9238081	55428487	8	~1987
9238193	572767967	9	~1989
9238399	388012759	9	~1989
9238457	55430743	8	~1987
9238553	55431319	8	~1987
9238597	55431583	8	~1987
9238787	73910297	8	~1987
9239201	55435207	8	~1987
9239231	18478463	8	~1985
9239591	18479183	8	~1985
9239873	55439239	8	~1987
9239963	18479927	8	~1985
9239977	55439863	8	~1987
9239987	73919897	8	~1987
9240013	55440079	8	~1987
9240173	55441039	8	~1987
9240223	92402231	8	~1987
9240377	55442263	8	~1987
9240731	73925849	8	~1987
9240767	73926137	8	~1987
9241357	55448143	8	~1987
9241811	18483623	8	~1985
9242003	18484007	8	~1985
9242333	55453999	8	~1987
9242501	55455007	8	~1987

Exp.	Prime Factor	Digits	Year
9242657	55455943	8	~1987
9243131	18486263	8	~1985
9243181	55459087	8	~1987
9243319	166379743	9	~1988
9243551	18487103	8	~1985
9243743	18487487	8	~1985
9243781	203363183	9	~1988
9243791	18487583	8	~1985
9243841	55463047	8	~1987
9243847	92438471	8	~1987
9243929	73951433	8	~1987
9244199	166395583	9	~1988
9244223	18488447	8	~1985
9244451	18488903	8	~1985
9245303	18490607	8	~1985
9245311	610190527	9	~1989
9245627	1275896527	10	~1990
9245711	18491423	8	~1985
9245759	73966073	8	~1987
9245813	55474879	8	~1987
9245963	18491927	8	~1985
9245987	73967897	8	~1987
9246199	92461991	8	~1987
9246233	55477399	8	~1987
9246371	73970969	8	~1987

Exp.	Prime Factor	Digits	Year
9246403	665741017	9	~1989
9246599	18493199	8	~1985
9246841	1165101967	10	~1990
9247339	832260511	9	~1989
9247361	55484167	8	~1987
9247613	55485679	8	~1987
9247613	1331656273	10
9247741	55486447	8	~1987
9247829	73982633	8	~1987
9248081	73984649	8	~1987
9248111	18496223	8	~1985
9248171	18496343	8	~1985
9248243	18496487	8	~1985
9248333	55489999	8	~1987
9248347	92483471	8	~1987
9248363	18496727	8	~1985
9248797	147980753	9	~1988
9249113	55494679	8	~1987
9249431	18498863	8	~1985
9249701	55498207	8	~1987
9249767	73998137	8	~1987
9249881	55499287	8	~1987
9249899	18499799	8	~1985
9249959	18499919	8	~1985
9250013	55500079	8	~1987

5.187.277 digits

25-11-17