3 398 741 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
20392447	8	24.3	old
9817493347144403274161	22	73.1	2022-01-09 02:58:15

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	kkmrkkblmbrbk	7EF2EFF29F8D18AA	1	83171	5	3
Verified (Factored)	2017-11-21	Oliver Kruse	7EF2EFF29F8D18AA	1	3340245	5	3
Verified	2022-01-15	GAN	7EF2EFF29F8D18AA	2	313113	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-09	9817493347144403274161	1132913	111642300

History

Date	User	Type	Result
2022-09-05	Joss	NF-PM1	B1=1132913, B2=213444000
2022-01-15	Delling	CERT	PRP Certification Proof certified good
2022-01-15	GAN	C-PRP	M3398741/20392447/9817493347144403274161 : 7EF2EFF29F8D18AA PRP proof power = 7 PRP: Verified Proof certified good
2022-01-09	Joss	F-PM1	Factor: 9817493347144403274161 / (P-1, B1=1132913, B2=111642300)
2021-04-01	Joss	NF	no factor from 2^67 to 2^68
2020-11-07	Joss	NF-PM1	B1=339874, B2=3398741, E=6
2020-10-21	Joss	NF-PM1	B1=113291
2017-11-21	Oliver Kruse	C-PRP	M3398741/20392447 : 7EF2EFF29F8D18AA PRP: Verified (Factored) PRP without proof (not generated)
2017-11-05	kkmrkkblmbrbk	C-PRP	M3398741/20392447 : 7EF2EFF29F8D18AA PRP: Verified (Factored) PRP without proof (not generated)