Small Mersenne Prime Factors (page 986/5730)

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
8782337	70258697	8	~1987
8783009	122962127	9	~1987
8783017	52698103	8	~1986
8783147	70265177	8	~1987
8783161	52698967	8	~1986
8783239	87832391	8	~1987
8783771	70270169	8	~1987
8783843	17567687	8	~1985
8783903	17567807	8	~1985
8784731	17569463	8	~1985
8784757	52708543	8	~1986
8784983	17569967	8	~1985
8785177	52711063	8	~1986
8785223	17570447	8	~1985
8785397	70283177	8	~1987
8785519	210852457	9	~1988
8786171	17572343	8	~1985
8786429	70291433	8	~1987
8786611	87866111	8	~1987
8786831	158162959	9	~1988
8786957	70295657	8	~1987
8787017	70296137	8	~1987
8787431	17574863	8	~1985
8787491	17574983	8	~1985
8787503	17575007	8	~1985

Exp.	Prime Factor	Digits	Year
8787577	210901849	9	~1988
8787749	210905977	9	~1988
8787809	123029327	9	~1987
8787811	158180599	9	~1988
8787893	52727359	8	~1986
8787979	87879791	8	~1987
8788037	52728223	8	~1986
8788477	52730863	8	~1986
8788523	17577047	8	~1985
8788957	52733743	8	~1986
8789041	52734247	8	~1986
8789057	52734343	8	~1986
8789279	17578559	8	~1985
8789477	123052679	9	~1987
8789579	70316633	8	~1987
8789843	17579687	8	~1985
8789939	17579879	8	~1985
8789999	17579999	8	~1985
8790413	52742479	8	~1986
8790473	52742839	8	~1986
8790557	210973369	9	~1988
8790599	17581199	8	~1985
8790839	17581679	8	~1985
8791283	17582567	8	~1985
8791297	140660753	9	~1987

Exp.	Prime Factor	Digits	Year
8791477	52748863	8	~1986
8791571	17583143	8	~1985
8791801	52750807	8	~1986
8791933	52751599	8	~1986
8792039	17584079	8	~1985
8792059	211009417	9	~1988
8792099	17584199	8	~1985
8792099	70336793	8
8792123	17584247	8	~1985
8792293	52753759	8	~1986
8792351	17584703	8	~1985
8792401	52754407	8	~1986
8792603	17585207	8	~1985
8792657	52755943	8	~1986
8792821	52756927	8	~1986
8792891	17585783	8	~1985
8792963	17585927	8	~1985
8793041	52758247	8	~1986
8793149	70345193	8	~1987
8793193	52759159	8	~1986
8793227	70345817	8	~1987
8793397	140694353	9	~1987
8793431	369324103	9	~1988
8793439	87934391	8	~1987
8793479	70347833	8	~1987

Exp.	Prime Factor	Digits	Year
8793671	17587343	8	~1985
8793839	70350713	8	~1987
8793871	351754841	9	~1988
8794267	422124817	9	~1989
8794501	52767007	8	~1986
8794561	52767367	8	~1986
8794613	52767679	8	~1986
8794631	17589263	8	~1985
8794757	334200767	9	~1988
8795327	158315887	9	~1988
8795431	158317759	9	~1988
8795483	17590967	8	~1985
8795911	87959111	8	~1987
8796001	193512023	9	~1988
8796167	158331007	9	~1988
8796253	211110073	9	~1988
8796503	17593007	8	~1985
8796581	70372649	8	~1987
8796611	70372889	8	~1987
8796659	17593319	8	~1985
8796757	52780543	8	~1986
8796863	17593727	8	~1985
8796923	17593847	8	~1985
8797489	263924671	9	~1988
8797553	52785319	8	~1986

5.426.516 digits

26-03-08