3 181 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
19087	5	14.2	old
127241	6	17.0	old
5621991247	10	32.4	old
10058595693241	14	43.2	old
1024915728808813398222281417431996723939469698429127	52	169.5	2019-09-22 15:21:45

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	15473 / 40830

Estimated T-Level: 51.9 ⓘ

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 (Factored)	2017-09-21	Oliver Kruse	2067B7C5639E3DD6	4	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	2067B7C5639E3DD6	4	1309	1	3
Verified	2019-09-22	nordi	A89F5DA6B1E90A36	5	2556	5	3
Verified	2019-09-23	Niels_Mache_Nextcloud	A89F5DA6B1E90A36	5	706	5	3
Verified	2020-04-17	Oliver Kruse	A89F5DA6B1E90A36	5	1961	5	3

History

Date	User	Type	Result
2022-04-10	mikr	NF-PM1	B1=70000000000, B2=367004699921960100
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3181/19087/127241/5621991247/10058595693241/1024915728808813398222281417431996723939469698429127 : A89F5DA6B1E90A36 PRP: Verified PRP without proof (small exponent)
2019-09-23	Niels_Mache_Nextcloud	C-PRP	M3181/19087/127241/5621991247/10058595693241/1024915728808813398222281417431996723939469698429127 : A89F5DA6B1E90A36 PRP: Verified PRP without proof (small exponent)
2019-09-22	nordi	C-PRP	M3181/19087/127241/5621991247/10058595693241/1024915728808813398222281417431996723939469698429127 : A89F5DA6B1E90A36 PRP: Verified PRP without proof (small exponent)
2019-09-22	Ryan Propper	F-ECM	Factor: 1024915728808813398222281417431996723939469698429127 / (ECM curve 1, B1=110000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3181/19087/127241/5621991247/10058595693241 : 2067B7C5639E3DD6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3181/19087/127241/5621991247/10058595693241 : 2067B7C5639E3DD6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3181/19087/127241/5621991247/10058595693241 : 2067B7C5639E3DD6 PRP without proof (not generated)