8 431 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
809377	6	19.6	old
479948968308193223551	21	68.7	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	8203 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 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	AE098FA009826C11	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	AE098FA009826C11	2	5658	1	3
Verified	2020-04-17	Oliver Kruse	8FAB8257EAE03986	2	87	5	3
Verified	2024-07-01	kkmrkkblmbrbk	8FAB8257EAE03986	2	5725	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8431/479948968308193223551/809377 : 8FAB8257EAE03986 PRP: Verified PRP without proof (small exponent)
2023-08-24	JacobZ	NF-PM1	B1=70000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8431/809377/479948968308193223551 : 8FAB8257EAE03986 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8431/809377/479948968308193223551 : AE098FA009826C11 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8431/809377/479948968308193223551 : AE098FA009826C11 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8431/809377/479948968308193223551 : AE098FA009826C11 PRP without proof (not generated)