8 699 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
417553	6	18.7	old
43790767	8	25.4	old
32167402615741831	17	54.8	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	6537 / 9201

Estimated T-Level: 43.6 ⓘ

TF below 2^140 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	08DB692CF31DD909	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	08DB692CF31DD909	3	3993	1	3
Verified	2020-04-17	Oliver Kruse	B81A347513CC73D9	3	5673	5	3
Verified	2024-07-01	kkmrkkblmbrbk	B81A347513CC73D9	3	7969	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8699/32167402615741831/417553/43790767 : B81A347513CC73D9 PRP: Verified PRP without proof (small exponent)
2023-08-10	JacobZ	NF-PM1	B1=67000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8699/417553/43790767/32167402615741831 : B81A347513CC73D9 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8699/417553/43790767/32167402615741831 : 08DB692CF31DD909 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8699/417553/43790767/32167402615741831 : 08DB692CF31DD909 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8699/417553/43790767/32167402615741831 : 08DB692CF31DD909 PRP without proof (not generated)