3 352 837 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
2718748466561	13	41.3	old
57061792083847	14	45.7	2008-09-30 14:47:26
113815523971342331407	21	66.6	2020-01-13 13:03:10

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	B854366993AFC6B7	2	638221	5	3
Verified (Factored)	2017-12-15	kkmrkkblmbrbk	B854366993AFC6B7	2	1856085	5	3
Verified	2020-01-14	rbanov	B854366993AFC6B7	3	2093409	5	3

P-1 factors

Date	Factor	B1	B2
2020-01-13	113815523971342331407	67056	400000

History

Date	User	Type	Result
2022-01-07	Joss	NF-PM1	B1=1050000, B2=111642300
2021-09-22	Joss	NF	no factor from 2^68 to 2^69
2021-09-09	Joss	NF	no factor from 2^67 to 2^68
2020-09-15	Joss	NF-PM1	B1=335283, B2=6705674, E=6
2020-07-28	Joss	NF-PM1	B1=335283, B2=3352837, E=6
2020-01-14	rbanov	C-PRP	M3352837/2718748466561/57061792083847/113815523971342331407 : B854366993AFC6B7 PRP: Verified PRP without proof (not generated)
2020-01-13	Joss	F-PM1	Factor: 113815523971342331407 / (P-1, B1=67056, B2=400000)
2017-12-15	kkmrkkblmbrbk	C-PRP	M3352837/2718748466561/57061792083847 : B854366993AFC6B7 PRP: Verified PRP without proof (not generated)
2017-11-05	Oliver Kruse	C-PRP	M3352837/2718748466561/57061792083847 : B854366993AFC6B7 PRP: Verified PRP without proof (not generated)
2008-09-30	markr	F	Factor: 57061792083847