8 317 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
382583	6	18.5	old
105232722143	12	36.6	old
1083805208337724053698641	25	79.8	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	6889 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 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	98C0EB9AB2F71DCA	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	98C0EB9AB2F71DCA	3	0	1	3
Verified	2017-12-07	ATH	98C0EB9AB2F71DCA	3	8221	1	3
Verified	2020-04-17	Oliver Kruse	D6CE67F533E5D40F	3	4468	5	3
Verified	2024-07-01	kkmrkkblmbrbk	D6CE67F533E5D40F	3	2651	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8317/105232722143/1083805208337724053698641/382583 : D6CE67F533E5D40F PRP: Verified PRP without proof (small exponent)
2023-08-30	JacobZ	NF-PM1	B1=71000000000, B2=265422648792401100
2021-12-08	onlinegame	NF-PM1	B1=1000000000, B2=10000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M8317/382583/105232722143/1083805208337724053698641 : D6CE67F533E5D40F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8317/382583/105232722143/1083805208337724053698641 : 98C0EB9AB2F71DCA PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8317/382583/105232722143/1083805208337724053698641 : 98C0EB9AB2F71DCA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8317/known_factors : 98C0EB9AB2F71DCA PRP without proof (not generated)