Small Mersenne Prime Factors (page 748/6015)

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
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
5370731	10741463	8	~1984
5370857	32225143	8	~1985
5370881	461895767	9	~1988

Exp.	Prime Factor	Digits	Year
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
5373857	32243143	8	~1985
5373857	806078551	9
5374079	10748159	8	~1984

Exp.	Prime Factor	Digits	Year
5374151	10748303	8	~1984
5374459	128987017	9	~1986
5374517	161235511	9	~1986
5374661	42997289	8	~1985
5374693	32248159	8	~1985
5374951	53749511	8	~1985
5375443	53754431	8	~1985
5375683	53756831	8	~1985
5375707	53757071	8	~1985
5375761	32254567	8	~1985
5376011	10752023	8	~1984
5376023	10752047	8	~1984
5376083	10752167	8	~1984
5376251	10752503	8	~1984
5376323	10752647	8	~1984
5376353	32258119	8	~1985
5376389	258066673	9	~1987
5376443	10752887	8	~1984
5376551	10753103	8	~1984
5376559	182803007	9	~1987
5377051	96786919	8	~1986
5377103	10754207	8	~1984
5377153	129051673	9	~1986
5377237	32263423	8	~1985
5377343	139810919	9	~1986

Exp.	Prime Factor	Digits	Year
5377417	32264503	8	~1985
5377439	10754879	8	~1984
5377643	129063433	9	~1986
5377657	32265943	8	~1985
5377679	10755359	8	~1984
5377907	516279073	9	~1988
5377919	225872599	9	~1987
5377919	1290700561	10
5378207	96807727	8	~1986
5378677	129088249	9	~1986
5378731	53787311	8	~1985
5378993	32273959	8	~1985
5379113	32274679	8	~1985
5379251	96826519	8	~1986
5379281	43034249	8	~1985
5379359	10758719	8	~1984
5379431	139865207	9	~1986
5379533	32277199	8	~1985
5379611	10759223	8	~1984
5379637	32277823	8	~1985
5379749	75316487	8	~1986
5380237	32281423	8	~1985
5380351	86085617	8	~1986
5380423	182934383	9	~1987
5380499	43043993	8	~1985

5.710.620 digits

26-07-19