Small Mersenne Prime Factors (page 888/5025)

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
7909277	47455663	8	~1986
7909277	63274217	8
7909439	15818879	8	~1985
7909523	15819047	8	~1985
7909633	47457799	8	~1986
7909859	15819719	8	~1985
7909873	126557969	9	~1987
7910411	15820823	8	~1985
7911047	63288377	8	~1986
7911539	15823079	8	~1985
7911803	15823607	8	~1985
7911899	15823799	8	~1985
7911989	110767847	9	~1987
7912013	47472079	8	~1986
7912199	63297593	8	~1986
7912217	443084153	9	~1988
7912237	126595793	9	~1987
7912319	15824639	8	~1985
7912351	79123511	8	~1987
7912511	63300089	8	~1986
7912517	63300137	8	~1986
7912739	15825479	8	~1985
7912813	189907513	9	~1987
7912889	63303113	8	~1986
7913093	47478559	8	~1986

Exp.	Prime Factor	Digits	Year
7913117	47478703	8	~1986
7913117	63304937	8
7913159	15826319	8	~1985
7913237	63305897	8	~1986
7913429	189922297	9	~1987
7913527	126616433	9	~1987
7913833	47482999	8	~1986
7913981	63311849	8	~1986
7914253	47485519	8	~1986
7914359	15828719	8	~1985
7914551	15829103	8	~1985
7914899	15829799	8	~1985
7915079	15830159	8	~1985
7915099	79150991	8	~1987
7915801	47494807	8	~1986
7916057	63328457	8	~1986
7916081	63328649	8	~1986
7916131	379974289	9	~1988
7916459	15832919	8	~1985
7916551	79165511	8	~1987
7916591	15833183	8	~1985
7916879	15833759	8	~1985
7916963	15833927	8	~1985
7917011	15834023	8	~1985
7917181	47503087	8	~1986

Exp.	Prime Factor	Digits	Year
7917191	15834383	8	~1985
7917473	47504839	8	~1986
7917599	15835199	8	~1985
7917659	15835319	8	~1985
7917863	15835727	8	~1985
7918153	47508919	8	~1986
7918199	15836399	8	~1985
7918511	15837023	8	~1985
7918613	47511679	8	~1986
7918811	15837623	8	~1985
7918979	15837959	8	~1985
7919053	47514319	8	~1986
7919183	15838367	8	~1985
7919281	47515687	8	~1986
7919299	79192991	8	~1987
7919363	190064713	9	~1987
7919381	63355049	8	~1986
7920047	205921223	9	~1988
7920067	142561207	9	~1987
7920149	253444769	9	~1988
7920163	79201631	8	~1987
7920313	47521879	8	~1986
7920371	63362969	8	~1986
7920551	15841103	8	~1985
7920959	15841919	8	~1985

Exp.	Prime Factor	Digits	Year
7921229	63369833	8	~1986
7921493	47528959	8	~1986
7921559	15843119	8	~1985
7921817	110905439	9	~1987
7921943	15843887	8	~1985
7922111	15844223	8	~1985
7922219	63377753	8	~1986
7922227	269355719	9	~1988
7922231	15844463	8	~1985
7922231	63377849	8
7922303	15844607	8	~1985
7922483	15844967	8	~1985
7922653	190143673	9	~1987
7922821	47536927	8	~1986
7923043	126768689	9	~1987
7923059	15846119	8	~1985
7923131	15846263	8	~1985
7923281	63386249	8	~1986
7923371	63386969	8	~1986
7923397	237701911	9	~1988
7923991	79239911	8	~1987
7924019	15848039	8	~1985
7924019	2091941017	10
7924073	110937023	9	~1987
7924079	15848159	8	~1985

4.724.182 digits

25-04-13