8 167 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3136129	7	21.6	old
76835137	8	26.2	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	9468 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 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	8EF911BF118CDCF0	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	8EF911BF118CDCF0	2	3112	1	3
Verified	2020-04-17	Oliver Kruse	DE3DED4E3F586763	2	1437	5	3
Verified	2024-07-01	kkmrkkblmbrbk	DE3DED4E3F586763	2	3448	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8167/3136129/76835137 : DE3DED4E3F586763 PRP: Verified PRP without proof (small exponent)
2023-06-03	JacobZ	NF-PM1	B1=72000000000, B2=300970872589336950
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8167/3136129/76835137 : DE3DED4E3F586763 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8167/3136129/76835137 : 8EF911BF118CDCF0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8167/3136129/76835137 : 8EF911BF118CDCF0 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8167/3136129/76835137 : 8EF911BF118CDCF0 PRP without proof (not generated)