6 131 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
12263	5	13.6	old
12087143375406439	17	53.4	old
83811991460543715729470409615919	32	106.0	old
117135443415274780025925389650380205570204034303	48	156.4	2021-03-25 02:36:13

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1502 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	4A98C79A48BFD5AE	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	4A98C79A48BFD5AE	3	0	1	3
Verified (Factored)	2017-12-07	ATH	4A98C79A48BFD5AE	3	4687	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	115886C50E92BAAF	3	3569	5	3
Verified	2021-03-25	ATH	115886C50E92BAAF	4	1398	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	115886C50E92BAAF	1	1879	5	3

Assigned

Assigned	User	Work Type	Stage	% Done	Updated	Expired
2024-10-21	Denial140	factor ECM small		0.00 %	2024-10-24
2024-10-21	Denial140	factor ECM small		0.00 %	2024-10-24
2024-10-21	Denial140	factor ECM small		0.00 %	2024-10-24
2024-10-21	Denial140	factor ECM small		0.00 %	2024-10-24
2024-10-21	Denial140	factor ECM small		0.00 %	2024-10-24
2024-10-21	Denial140	factor ECM small		0.00 %	2024-10-24

History

Date	User	Type	Result
2023-07-29	-Anonymous-	NF-PM1	B1=40000000000, B2=169617550478676300
2022-05-12	Jorge Coveiro	C-PRP	M6131/12263 : 115886C50E92BAAF PRP: Verified (Factored) PRP without proof (small exponent)
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2021-03-25	ATH	C-PRP	M6131/12263/12087143375406439/83811991460543715729470409615919/117135443415274780025925389650380205570204034303 : 115886C50E92BAAF PRP: Verified (Factored) PRP without proof (small exponent)
2021-03-25	Ryan Propper	F-ECM	Factor: 117135443415274780025925389650380205570204034303 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=3994485264022545980)
2020-04-17	Oliver Kruse	C-PRP	M6131/12263/12087143375406439/83811991460543715729470409615919 : 115886C50E92BAAF PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6131/12263/12087143375406439/83811991460543715729470409615919 : 4A98C79A48BFD5AE PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6131/12263/12087143375406439/83811991460543715729470409615919 : 4A98C79A48BFD5AE PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6131/known_factors : 4A98C79A48BFD5AE PRP without proof (not generated)