3 631 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
395097357957876617	18	58.5	old
280442211872714548472527	24	77.9	old
900829395991456324891967383	27	89.5	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	15018 / 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	B3B1BF4A37ED0F09	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B3B1BF4A37ED0F09	3	0	1	3
Verified	2017-12-07	ATH	B3B1BF4A37ED0F09	3	1183	1	3
Verified	2020-04-17	Oliver Kruse	2CA99B1E415E02FB	3	1661	5	3
Verified	2024-02-03	Wentao Huang	2CA99B1E415E02FB	3	38	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3631/395097357957876617/280442211872714548472527/900829395991456324891967383 : 2CA99B1E415E02FB PRP: Verified PRP without proof (small exponent)
2022-07-10	mikr	NF-PM1	B1=120000000000, B2=314605609292724750
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3631/395097357957876617/280442211872714548472527/900829395991456324891967383 : 2CA99B1E415E02FB PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3631/395097357957876617/280442211872714548472527/900829395991456324891967383 : B3B1BF4A37ED0F09 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3631/395097357957876617/280442211872714548472527/900829395991456324891967383 : B3B1BF4A37ED0F09 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3631/known_factors : B3B1BF4A37ED0F09 PRP without proof (not generated)