Small Mersenne Prime Factors (page 751/6105)

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
5360879	10721759	8	~1984
5360879	171548129	9
5360903	10721807	8	~1984
5361017	42888137	8	~1985
5361073	32166439	8	~1985
5361157	85778513	8	~1986
5361203	10722407	8	~1984
5361623	10723247	8	~1984
5361677	75063479	8	~1986
5361779	42894233	8	~1985
5361827	42894617	8	~1985
5361947	42895577	8	~1985
5362079	10724159	8	~1984
5362111	257381329	9	~1987
5362543	386103097	9	~1987
5362583	10725167	8	~1984
5362823	10725647	8	~1984
5362859	10725719	8	~1984
5363077	32178463	8	~1985
5363473	32180839	8	~1985
5363587	53635871	8	~1985
5363641	32181847	8	~1985
5363707	53637071	8	~1985
5363767	214550681	9	~1987
5364089	75097247	8	~1986

Exp.	Prime Factor	Digits	Year
5364143	10728287	8	~1984
5364881	42919049	8	~1985
5364923	10729847	8	~1984
5364977	32189863	8	~1985
5365091	10730183	8	~1984
5365231	85843697	8	~1986
5365253	75113543	8	~1986
5365289	75114047	8	~1986
5365517	42924137	8	~1985
5365553	32193319	8	~1985
5365631	10731263	8	~1984
5366047	311230727	9	~1987
5366167	85858673	8	~1986
5366177	32197063	8	~1985
5366243	10732487	8	~1984
5366279	42930233	8	~1985
5366411	10732823	8	~1984
5366681	32200087	8	~1985
5366807	42934457	8	~1985
5366891	42935129	8	~1985
5366983	53669831	8	~1985
5367091	85873457	8	~1986
5367277	32203663	8	~1985
5367287	42938297	8	~1985
5367491	96614839	8	~1986

Exp.	Prime Factor	Digits	Year
5367493	32204959	8	~1985
5367587	42940697	8	~1985
5367667	53676671	8	~1985
5367779	10735559	8	~1984
5367821	32206927	8	~1985
5367961	32207767	8	~1985
5367977	32207863	8	~1985
5368021	85888337	8	~1986
5368037	32208223	8	~1985
5368043	10736087	8	~1984
5368063	53680631	8	~1985
5368339	182523527	9	~1987
5368403	10736807	8	~1984
5368541	42948329	8	~1985
5368703	10737407	8	~1984
5368897	32213383	8	~1985
5369017	32214103	8	~1985
5369183	10738367	8	~1984
5369197	85907153	8	~1986
5369387	42955097	8	~1985
5369471	10738943	8	~1984
5369597	32217583	8	~1985
5369999	10739999	8	~1984
5370353	75184943	8	~1986
5370671	10741343	8	~1984

Exp.	Prime Factor	Digits	Year
5370731	10741463	8	~1984
5370857	32225143	8	~1985
5370881	461895767	9	~1988
5371139	10742279	8	~1984
5371231	53712311	8	~1985
5371403	10742807	8	~1984
5371571	42972569	8	~1985
5371631	10743263	8	~1984
5371739	96691303	8	~1986
5371879	182643887	9	~1987
5372099	10744199	8	~1984
5372177	75210479	8	~1986
5372309	42978473	8	~1985
5372413	32234479	8	~1985
5372519	10745039	8	~1984
5372597	32235583	8	~1985
5372723	10745447	8	~1984
5372771	10745543	8	~1984
5372831	10745663	8	~1984
5372933	32237599	8	~1985
5373239	10746479	8	~1984
5373383	10746767	8	~1984
5373611	10747223	8	~1984
5373611	42988889	8
5373791	42990329	8	~1985

5.800.574 digits

26-08-30