Small Mersenne Prime Factors (page 1027/5670)

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
9463931	18927863	8	~1985
9463991	18927983	8	~1985
9464111	18928223	8	~1985
9464723	18929447	8	~1985
9464737	151435793	9	~1988
9464887	94648871	8	~1987
9465083	18930167	8	~1985
9465271	94652711	8	~1987
9465539	18931079	8	~1985
9465809	75726473	8	~1987
9466021	56796127	8	~1987
9466211	18932423	8	~1985
9466381	151462097	9	~1988
9466403	18932807	8	~1985
9466703	18933407	8	~1985
9466799	170402383	9	~1988
9466871	18933743	8	~1985
9467291	1211813249	10	~1990
9467417	132543839	9	~1988
9467603	18935207	8	~1985
9467957	56807743	8	~1987
9468937	56813623	8	~1987
9469079	18938159	8	~1985
9469127	227259049	9	~1988
9469451	18938903	8	~1985

Exp.	Prime Factor	Digits	Year
9469991	18939983	8	~1985
9470183	18940367	8	~1985
9470231	18940463	8	~1985
9470231	75761849	8
9470977	56825863	8	~1987
9471013	56826079	8	~1987
9471131	18942263	8	~1985
9471323	18942647	8	~1985
9471491	18942983	8	~1985
9471551	18943103	8	~1985
9472103	18944207	8	~1985
9472163	18944327	8	~1985
9472511	18945023	8	~1985
9472643	18945287	8	~1985
9472657	56835943	8	~1987
9472691	18945383	8	~1985
9472979	18945959	8	~1985
9472979	75783833	8
9473293	56839759	8	~1987
9473411	75787289	8	~1987
9473467	94734671	8	~1987
9473543	18947087	8	~1985
9473771	18947543	8	~1985
9474053	303169697	9	~1988
9474323	18948647	8	~1985

Exp.	Prime Factor	Digits	Year
9474373	56846239	8	~1987
9474629	132644807	9	~1988
9474653	56847919	8	~1987
9474841	56849047	8	~1987
9474953	56849719	8	~1987
9475019	18950039	8	~1985
9475121	56850727	8	~1987
9475139	18950279	8	~1985
9475283	18950567	8	~1985
9475391	18950783	8	~1985
9475463	18950927	8	~1985
9475871	18951743	8	~1985
9475943	18951887	8	~1985
9475997	56855983	8	~1987
9476143	227427433	9	~1988
9476399	18952799	8	~1985
9476543	18953087	8	~1985
9476711	18953423	8	~1985
9476717	56860303	8	~1987
9476723	18953447	8	~1985
9476891	18953783	8	~1985
9477053	56862319	8	~1987
9477073	56862439	8	~1987
9477199	170589583	9	~1988
9477749	132688487	9	~1988

Exp.	Prime Factor	Digits	Year
9477781	56866687	8	~1987
9477791	18955583	8	~1985
9477911	75823289	8	~1987
9478211	18956423	8	~1985
9478559	18957119	8	~1985
9478597	454972657	9	~1989
9478883	18957767	8	~1985
9478991	170621839	9	~1988
9479287	94792871	8	~1987
9479819	18959639	8	~1985
9479843	18959687	8	~1985
9480181	56881087	8	~1987
9480277	56881663	8	~1987
9480397	56882383	8	~1987
9480479	18960959	8	~1985
9480479	303375329	9
9480517	56883103	8	~1987
9480539	18961079	8	~1985
9480923	18961847	8	~1985
9481061	56886367	8	~1987
9481217	75849737	8	~1987
9481331	18962663	8	~1985
9481487	170666767	9	~1988
9481523	18963047	8	~1985
9481603	94816031	8	~1987

5.366.787 digits

26-02-08