Small Mersenne Prime Factors (page 770/5070)

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
6160079	12320159	8	~1984
6160229	86243207	8	~1986
6160333	36961999	8	~1985
6160391	12320783	8	~1984
6160607	49284857	8	~1985
6160621	98569937	8	~1986
6160733	36964399	8	~1985
6160853	36965119	8	~1985
6160867	61608671	8	~1986
6161017	36966103	8	~1985
6161201	36967207	8	~1985
6161209	184836271	9	~1987
6161347	948847439	9	~1989
6161483	12322967	8	~1984
6161819	12323639	8	~1984
6162323	12324647	8	~1984
6162437	86274119	8	~1986
6162557	49300457	8	~1985
6162599	12325199	8	~1984
6162641	36975847	8	~1985
6162743	12325487	8	~1984
6162847	61628471	8	~1986
6163153	36978919	8	~1985
6163217	234202247	9	~1987
6163249	135591479	9	~1987

Exp.	Prime Factor	Digits	Year
6163271	12326543	8	~1984
6163357	394454849	9	~1988
6163373	36980239	8	~1985
6163583	12327167	8	~1984
6163697	49309577	8	~1985
6163813	36982879	8	~1985
6164159	12328319	8	~1984
6164579	12329159	8	~1984
6165083	12330167	8	~1984
6165359	12330719	8	~1984
6165431	12330863	8	~1984
6165461	49323689	8	~1985
6165527	49324217	8	~1985
6165563	12331127	8	~1984
6165583	653551799	9	~1988
6165839	12331679	8	~1984
6166247	49329977	8	~1985
6166271	12332543	8	~1984
6166403	160326479	9	~1987
6166471	61664711	8	~1986
6166913	37001479	8	~1985
6167041	37002247	8	~1985
6167081	37002487	8	~1985
6167081	49336649	8
6167351	12334703	8	~1984

Exp.	Prime Factor	Digits	Year
6167471	12334943	8	~1984
6167687	2035336711	10	~1989
6167891	12335783	8	~1984
6167921	37007527	8	~1985
6168143	12336287	8	~1984
6168497	37010983	8	~1985
6168499	61684991	8	~1986
6168731	12337463	8	~1984
6169013	37014079	8	~1985
6169021	37014127	8	~1985
6169441	37016647	8	~1985
6169463	12338927	8	~1984
6169507	148068169	9	~1987
6169591	61695911	8	~1986
6169679	12339359	8	~1984
6169811	12339623	8	~1984
6169931	12339863	8	~1984
6169937	37019623	8	~1985
6170051	12340103	8	~1984
6170357	49362857	8	~1985
6170501	49364009	8	~1985
6170561	37023367	8	~1985
6170561	234481319	9
6170579	49364633	8	~1985
6170653	37023919	8	~1985

Exp.	Prime Factor	Digits	Year
6170911	61709111	8	~1986
6171001	37026007	8	~1985
6171073	37026439	8	~1985
6171149	148107577	9	~1987
6171271	61712711	8	~1986
6171377	37028263	8	~1985
6171397	98742353	8	~1986
6171491	12342983	8	~1984
6171491	49371929	8
6171719	12343439	8	~1984
6171749	49373993	8	~1985
6172541	49380329	8	~1985
6172571	12345143	8	~1984
6172861	37037167	8	~1985
6172931	12345863	8	~1984
6173243	12346487	8	~1984
6173417	49387337	8	~1985
6173483	12346967	8	~1984
6173677	98778833	8	~1986
6173753	37042519	8	~1985
6173861	49390889	8	~1985
6173891	111130039	9	~1986
6174307	111137527	9	~1986
6174697	37048183	8	~1985
6174703	61747031	8	~1986

4.768.925 digits

25-05-04