4 889 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
262049930657	12	37.9	old
2167820614598306442078380366021685123943825607	46	150.6	2020-10-15 13:30:19

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	14162 / 40830

Estimated T-Level: 51.7 ⓘ

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	2C393B6AF2A37D55	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	2C393B6AF2A37D55	1	2893	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	467ED5A8806FBEEB	1	2773	5	3
Verified	2020-10-16	mnd9	467ED5A8806FBEEB	2	3215	5	3
Verified	2020-10-18	tottenhoff	467ED5A8806FBEEB	2	4566	5	3

History

Date	User	Type	Result
2023-05-30	-Anonymous-	NF-PM1	B1=65000000000, B2=652146174764434350
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-18	tottenhoff	C-PRP	M4889/262049930657/2167820614598306442078380366021685123943825607 : 467ED5A8806FBEEB PRP: Verified PRP without proof (small exponent)
2020-10-16	mnd9	C-PRP	M4889/262049930657/2167820614598306442078380366021685123943825607 : 467ED5A8806FBEEB PRP: Verified PRP without proof (small exponent)
2020-10-15	Ryan Propper	F-ECM	Factor: 2167820614598306442078380366021685123943825607 / (ECM curve 1, B1=260000000, B2=3104064163218, Sigma=3753609608576305122)
2020-04-17	Oliver Kruse	C-PRP	M4889/262049930657 : 467ED5A8806FBEEB PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4889/262049930657 : 2C393B6AF2A37D55 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4889/262049930657 : 2C393B6AF2A37D55 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4889/262049930657 : 2C393B6AF2A37D55 PRP without proof (not generated)