3 491 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6983	4	12.8	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	14459 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	44CB60106D0A3DFA	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	44CB60106D0A3DFA	1	2969	1	3
Verified	2020-04-17	Oliver Kruse	482E48BC26CA0CE1	1	3462	5	3
Verified	2022-05-12	Jorge Coveiro	482E48BC26CA0CE1	1	1462	5	3

History

Date	User	Type	Result
2022-06-01	mikr	NF-PM1	B1=120000000000, B2=314609067502780050
2022-05-12	Jorge Coveiro	C-PRP	M3491/6983 : 482E48BC26CA0CE1 PRP: Verified PRP without proof (small exponent)
2022-03-01	mikr	NF-PM1	B1=60000000000, B2=197161572725167050
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3491/6983 : 482E48BC26CA0CE1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3491/6983 : 44CB60106D0A3DFA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3491/6983 : 44CB60106D0A3DFA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3491/6983 : 44CB60106D0A3DFA PRP without proof (not generated)