3 398 051 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
6796103	7	22.7	old
679610201	9	29.3	2008-09-07 19:48:56
633577358033050844608844361272100439	36	118.9	2021-03-14 18:15:36

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-05	Oliver Kruse	1D5739ADA3E3C548	2	3159411	5	3
Verified (Factored)	2017-12-16	kkmrkkblmbrbk	1D5739ADA3E3C548	2	3094372	5	3
Verified	2021-03-18	Sébastien BROUCKE	1D5739ADA3E3C548	3	3064702	5	3

P-1 factors

Date	Factor	B1	B2
2021-03-14	633577358033050844608844361272100439	339805	3737856

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3398051, B2=3405337320
2021-12-21	Joss	NF-PM1	B1=3398051, B2=111907950
2021-12-08	Joss	NF	no factor from 2^70 to 2^71
2021-12-08	Joss	NF	no factor from 2^69 to 2^70
2021-11-19	Joss	NF	no factor from 2^68 to 2^69
2021-04-09	Joss	NF	no factor from 2^67 to 2^68
2021-03-18	Sébastien BROUCKE	C-PRP	M3398051/6796103/679610201/633577358033050844608844361272100439 : 1D5739ADA3E3C548 PRP: Verified PRP without proof (not generated)
2021-03-15	Joss	NF-PM1	B1=339805, B2=10533958, E=6
2021-03-15	Joss	NF-PM1	B1=339805, B2=7135907, E=6
2021-03-14	Joss	F-PM1	Factor: 633577358033050844608844361272100439 / (P-1, B1=339805, B2=3737856, E=6)
2017-12-16	kkmrkkblmbrbk	C-PRP	M3398051/6796103/679610201 : 1D5739ADA3E3C548 PRP: Verified PRP without proof (not generated)
2017-11-05	Oliver Kruse	C-PRP	M3398051/6796103/679610201 : 1D5739ADA3E3C548 PRP: Verified PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 679610201