3 198 557 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
13709015303	11	33.7	old
1025534139569	13	39.9	2008-09-30 14:46:48
454576745821241	15	48.7	2014-04-11 11:28:09

ECM

Digits	B1	Curves
25	50000	58 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-01	Oliver Kruse	EDBCD532CDFF9380	3	2891136	5	3
Verified	2017-12-13	kkmrkkblmbrbk	EDBCD532CDFF9380	3	1969696	5	3

History

Date	User	Type	Result
2022-10-07	Joss	NF-PM1	B1=1200000, B2=451528350
2022-09-03	Joss	NF-PM1	B1=1200000, B2=236513550
2022-01-07	Joss	NF-PM1	B1=1050000, B2=116447100
2021-09-13	Joss	NF	no factor from 2^67 to 2^68
2020-05-30	Joss	NF-PM1	B1=319855, B2=3198557, E=6
2017-12-13	kkmrkkblmbrbk	C-PRP	M3198557/13709015303/1025534139569/454576745821241 : EDBCD532CDFF9380 PRP: Verified PRP without proof (not generated)
2017-11-01	Oliver Kruse	C-PRP	M3198557/13709015303/1025534139569/454576745821241 : EDBCD532CDFF9380 PRP: Verified PRP without proof (not generated)
2014-04-11	TJAOI	F	Factor: 454576745821241
2008-09-30	markr	F	Factor: 1025534139569