Small Mersenne Prime Factors (page 652/5070)

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
4659881	37279049	8	~1985
4659911	37279289	8	~1985
4659929	37279433	8	~1985
4659929	708309209	9
4660079	9320159	7	~1983
4660177	326212391	9	~1987
4660259	37282073	8	~1985
4660457	37283657	8	~1985
4660501	27963007	8	~1984
4660627	46606271	8	~1985
4660769	37286153	8	~1985
4660861	27965167	8	~1984
4661117	27966703	8	~1984
4661183	9322367	7	~1983
4661291	9322583	7	~1983
4661399	9322799	7	~1983
4661639	83909503	8	~1985
4661719	46617191	8	~1985
4661773	27970639	8	~1984
4661911	83914399	8	~1985
4662149	37297193	8	~1985
4662209	65270927	8	~1985
4662221	27973327	8	~1984
4662299	9324599	7	~1983
4662377	27974263	8	~1984

Exp.	Prime Factor	Digits	Year
4662457	27974743	8	~1984
4662461	27974767	8	~1984
4662773	27976639	8	~1984
4663003	74608049	8	~1985
4663019	37304153	8	~1985
4663259	9326519	7	~1983
4663279	46632791	8	~1985
4663349	37306793	8	~1985
4663429	186537161	9	~1986
4663433	27980599	8	~1984
4663441	27980647	8	~1984
4663621	214526567	9	~1986
4663727	37309817	8	~1985
4663741	27982447	8	~1984
4663807	46638071	8	~1985
4663931	9327863	7	~1983
4664057	27984343	8	~1984
4664057	65296799	8
4664129	37313033	8	~1985
4664399	37315193	8	~1985
4664453	65302343	8	~1985
4664531	9329063	7	~1983
4664573	27987439	8	~1984
4664593	102621047	9	~1986
4664603	9329207	7	~1983

Exp.	Prime Factor	Digits	Year
4664813	27988879	8	~1984
4665049	111961177	9	~1986
4665119	9330239	7	~1983
4665247	74643953	8	~1985
4665299	37322393	8	~1985
4665917	37327337	8	~1985
4665979	83987623	8	~1985
4666021	214636967	9	~1986
4666141	27996847	8	~1984
4666223	9332447	7	~1983
4666273	27997639	8	~1984
4666393	27998359	8	~1984
4666463	9332927	7	~1983
4666553	27999319	8	~1984
4666667	308000023	9	~1987
4666691	9333383	7	~1983
4666691	37333529	8
4666813	28000879	8	~1984
4666813	74669009	8
4666889	224010673	9	~1986
4667051	9334103	7	~1983
4667107	74673713	8	~1985
4667309	37338473	8	~1985
4667393	28004359	8	~1984
4667473	28004839	8	~1984

Exp.	Prime Factor	Digits	Year
4667527	74680433	8	~1985
4667681	28006087	8	~1984
4667699	9335399	7	~1983
4667743	46677431	8	~1985
4667969	37343753	8	~1985
4668071	9336143	7	~1983
4668107	373448561	9	~1987
4668397	28010383	8	~1984
4668431	9336863	7	~1983
4668479	9336959	7	~1983
4668479	37347833	8
4668641	28011847	8	~1984
4668749	37349993	8	~1985
4668953	28013719	8	~1984
4669019	9338039	7	~1983
4669139	9338279	7	~1983
4669187	37353497	8	~1985
4669463	121406039	9	~1986
4669501	28017007	8	~1984
4669501	74712017	8
4669523	9339047	7	~1983
4669559	9339119	7	~1983
4669627	74714033	8	~1985
4669681	28018087	8	~1984
4669697	28018183	8	~1984

4.768.925 digits

25-05-04