Small Mersenne Prime Factors (page 820/5670)

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
6454619	51636953	8	~1986
6454667	51637337	8	~1986
6454709	51637673	8	~1986
6455063	12910127	8	~1984
6455101	103281617	9	~1986
6455233	103283729	9	~1986
6455473	38732839	8	~1985
6455539	64555391	8	~1986
6455857	38735143	8	~1985
6456011	167856287	9	~1987
6456239	12912479	8	~1984
6456271	116212879	9	~1987
6456287	51650297	8	~1986
6456421	38738527	8	~1985
6456427	64564271	8	~1986
6456563	12913127	8	~1984
6456623	12913247	8	~1984
6456641	38739847	8	~1985
6456679	64566791	8	~1986
6456727	154961449	9	~1987
6456971	309934609	9	~1988
6457013	38742079	8	~1985
6457079	12914159	8	~1984
6457109	10421773927	11	~1991
6457261	38743567	8	~1985

Exp.	Prime Factor	Digits	Year
6457631	12915263	8	~1984
6457861	38747167	8	~1985
6457877	38747263	8	~1985
6457877	90410279	8
6457991	12915983	8	~1984
6458339	12916679	8	~1984
6458339	116250103	9
6458399	51667193	8	~1986
6458437	38750623	8	~1985
6458563	103337009	9	~1986
6458801	38752807	8	~1985
6458923	219603383	9	~1987
6459029	51672233	8	~1986
6459307	64593071	8	~1986
6459443	12918887	8	~1984
6459493	38756959	8	~1985
6459683	12919367	8	~1984
6459731	12919463	8	~1984
6459823	64598231	8	~1986
6459863	12919727	8	~1984
6460031	310081489	9	~1988
6460331	51682649	8	~1986
6460453	38762719	8	~1985
6460577	38763463	8	~1985
6460873	38765239	8	~1985

Exp.	Prime Factor	Digits	Year
6460967	51687737	8	~1986
6461341	38768047	8	~1985
6461401	103382417	9	~1986
6461407	64614071	8	~1986
6461563	155077513	9	~1987
6461657	38769943	8	~1985
6461891	12923783	8	~1984
6461951	12923903	8	~1984
6461953	348945463	9	~1988
6462061	38772367	8	~1985
6462101	38772607	8	~1985
6462319	64623191	8	~1986
6462593	38775559	8	~1985
6462607	64626071	8	~1986
6462671	12925343	8	~1984
6462811	64628111	8	~1986
6462893	38777359	8	~1985
6463139	12926279	8	~1984
6463603	64636031	8	~1986
6463739	12927479	8	~1984
6463811	51710489	8	~1986
6463871	12927743	8	~1984
6463883	12927767	8	~1984
6463973	38783839	8	~1985
6463991	12927983	8	~1984

Exp.	Prime Factor	Digits	Year
6464201	38785207	8	~1985
6464323	103429169	9	~1986
6464377	38786263	8	~1985
6464519	12929039	8	~1984
6464891	12929783	8	~1984
6465013	38790079	8	~1985
6465497	51723977	8	~1986
6465551	12931103	8	~1984
6465581	51724649	8	~1986
6465601	38793607	8	~1985
6465653	38793919	8	~1985
6465703	64657031	8	~1986
6465821	38794927	8	~1985
6465883	64658831	8	~1986
6465911	12931823	8	~1984
6465917	51727337	8	~1986
6465929	51727433	8	~1986
6465959	51727673	8	~1986
6466081	38796487	8	~1985
6466319	12932639	8	~1984
6466679	12933359	8	~1984
6466853	90535943	8	~1986
6467141	38802847	8	~1985
6467141	310422769	9
6467207	51737657	8	~1986

5.366.787 digits

26-02-08