Small Mersenne Prime Factors (page 879/5775)

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
7186391	14372783	8	~1985
7186477	43118863	8	~1986
7186679	57493433	8	~1986
7186799	14373599	8	~1985
7186919	14373839	8	~1985
7186973	43121839	8	~1986
7187077	43122463	8	~1986
7187189	57497513	8	~1986
7187281	43123687	8	~1986
7187399	14374799	8	~1985
7187777	43126663	8	~1986
7187783	14375567	8	~1985
7187861	43127167	8	~1986
7187963	14375927	8	~1985
7188017	43128103	8	~1986
7188149	57505193	8	~1986
7188449	100638287	9	~1987
7188743	14377487	8	~1985
7188901	43133407	8	~1986
7188953	215668591	9	~1987
7189103	14378207	8	~1985
7189423	71894231	8	~1986
7189439	14378879	8	~1985
7189463	14378927	8	~1985
7189561	115032977	9	~1987

Exp.	Prime Factor	Digits	Year
7189603	71896031	8	~1986
7189751	14379503	8	~1985
7189757	57518057	8	~1986
7189921	43139527	8	~1986
7190003	14380007	8	~1985
7190219	14380439	8	~1985
7190413	115046609	9	~1987
7190471	14380943	8	~1985
7190489	57523913	8	~1986
7190699	14381399	8	~1985
7190921	57527369	8	~1986
7191241	215737231	9	~1987
7191347	57530777	8	~1986
7191421	43148527	8	~1986
7191491	14382983	8	~1985
7191533	43149199	8	~1986
7191593	43149559	8	~1986
7191911	14383823	8	~1985
7192103	14384207	8	~1985
7192187	186996863	9	~1987
7192321	43153927	8	~1986
7192553	43155319	8	~1986
7192711	71927111	8	~1986
7192903	71929031	8	~1986
7192931	57543449	8	~1986

Exp.	Prime Factor	Digits	Year
7193051	14386103	8	~1985
7193171	14386343	8	~1985
7193231	57545849	8	~1986
7193323	71933231	8	~1986
7193383	71933831	8	~1986
7193401	43160407	8	~1986
7193591	14387183	8	~1985
7193731	129487159	9	~1987
7193789	57550313	8	~1986
7193899	71938991	8	~1986
7194251	14388503	8	~1985
7194269	57554153	8	~1986
7194563	14389127	8	~1985
7194739	71947391	8	~1986
7194877	43169263	8	~1986
7194959	14389919	8	~1985
7194973	43169839	8	~1986
7195217	57561737	8	~1986
7195313	43171879	8	~1986
7195679	14391359	8	~1985
7195759	71957591	8	~1986
7196251	71962511	8	~1986
7196261	43177567	8	~1986
7196291	14392583	8	~1985
7196521	43179127	8	~1986

Exp.	Prime Factor	Digits	Year
7196753	43180519	8	~1986
7196951	14393903	8	~1985
7197023	14394047	8	~1985
7197139	71971391	8	~1986
7197313	43183879	8	~1986
7197419	14394839	8	~1985
7197607	71976071	8	~1986
7197803	14395607	8	~1985
7197863	14395727	8	~1985
7197923	14395847	8	~1985
7198099	71980991	8	~1986
7198267	129568807	9	~1987
7198343	14396687	8	~1985
7198571	57588569	8	~1986
7198691	57589529	8	~1986
7198693	43192159	8	~1986
7198999	129581983	9	~1987
7199051	14398103	8	~1985
7199063	14398127	8	~1985
7199063	302360647	9
7199261	230376353	9	~1988
7199411	14398823	8	~1985
7199519	14399039	8	~1985
7199617	172790809	9	~1987
7200101	43200607	8	~1986

5.471.290 digits

26-03-29