Small Mersenne Prime Factors (page 928/5130)

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
8438377	50630263	8	~1986
8438399	16876799	8	~1985
8438407	84384071	8	~1987
8438459	16876919	8	~1985
8438483	16876967	8	~1985
8438657	67509257	8	~1987
8438761	50632567	8	~1986
8439251	16878503	8	~1985
8439443	16878887	8	~1985
8439479	16878959	8	~1985
8439503	16879007	8	~1985
8439581	50637487	8	~1986
8439601	50637607	8	~1986
8440193	50641159	8	~1986
8440343	16880687	8	~1985
8440391	16880783	8	~1985
8440511	16881023	8	~1985
8440979	16881959	8	~1985
8441057	67528457	8	~1987
8441087	422054351	9	~1988
8441423	16882847	8	~1985
8441539	84415391	8	~1987
8441737	50650423	8	~1986
8441831	16883663	8	~1985
8442029	67536233	8	~1987

Exp.	Prime Factor	Digits	Year
8442271	84422711	8	~1987
8442359	67538873	8	~1987
8442437	67539497	8	~1987
8442767	675421361	9	~1989
8442779	16885559	8	~1985
8442781	50656687	8	~1986
8443079	16886159	8	~1985
8443117	50658703	8	~1986
8443199	67545593	8	~1987
8443361	50660167	8	~1986
8443453	50660719	8	~1986
8443651	151985719	9	~1987
8443709	270198689	9	~1988
8443913	50663479	8	~1986
8444003	16888007	8	~1985
8444123	16888247	8	~1985
8444363	16888727	8	~1985
8444573	50667439	8	~1986
8444591	16889183	8	~1985
8444957	118229399	9	~1987
8445523	135128369	9	~1987
8445601	337824041	9	~1988
8445683	16891367	8	~1985
8445707	67565657	8	~1987
8445961	50675767	8	~1986

Exp.	Prime Factor	Digits	Year
8446019	16892039	8	~1985
8446019	67568153	8
8446063	84460631	8	~1987
8446283	16892567	8	~1985
8446913	50681479	8	~1986
8446979	16893959	8	~1985
8447111	16894223	8	~1985
8447171	67577369	8	~1987
8447177	50683063	8	~1986
8447423	16894847	8	~1985
8447591	16895183	8	~1985
8447653	50685919	8	~1986
8447711	16895423	8	~1985
8448017	50688103	8	~1986
8448197	50689183	8	~1986
8448431	16896863	8	~1985
8448431	219659207	9
8448551	16897103	8	~1985
8448851	16897703	8	~1985
8449097	50694583	8	~1986
8449139	16898279	8	~1985
8449223	16898447	8	~1985
8449361	50696167	8	~1986
8449409	67595273	8	~1987
8449439	16898879	8	~1985

Exp.	Prime Factor	Digits	Year
8449513	50697079	8	~1986
8449711	84497111	8	~1987
8449979	16899959	8	~1985
8450069	118300967	9	~1987
8450291	67602329	8	~1987
8450423	16900847	8	~1985
8450483	16900967	8	~1985
8450881	50705287	8	~1986
8450947	84509471	8	~1987
8450969	67607753	8	~1987
8451041	50706247	8	~1986
8451271	84512711	8	~1987
8451491	16902983	8	~1985
8451517	50709103	8	~1986
8451851	16903703	8	~1985
8451893	50711359	8	~1986
8452019	16904039	8	~1985
8452097	50712583	8	~1986
8452141	50712847	8	~1986
8452307	67618457	8	~1987
8452403	16904807	8	~1985
8452439	16904879	8	~1985
8452441	50714647	8	~1986
8452571	16905143	8	~1985
8452681	50716087	8	~1986

4.828.532 digits

25-06-01