3 455 857 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
304115417	9	28.2	old
13337004403723005975712799809	29	93.4	2020-12-03 21:43:25

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)	2017-11-06	Oliver Kruse	8D1D83081A8667CD	1	258096	5	3
Verified (Factored)	2017-12-16	kkmrkkblmbrbk	8D1D83081A8667CD	1	1232683	5	3
Verified	2020-12-03	mrh	8D1D83081A8667CD	2	2831835	5	3

P-1 factors

Date	Factor	B1	B2
2020-12-03	13337004403723005975712799809	345585	3455857

History

Date	User	Type	Result
2022-09-03	Joss	NF-PM1	B1=1268376, B2=213444000
2022-01-06	Joss	NF-PM1	B1=1268376, B2=111642300
2021-04-09	Joss	NF	no factor from 2^67 to 2^68
2020-12-04	curtisc	CERT	PRP Certification Proof certified good
2020-12-03	mrh	C-PRP	M3455857/304115417/13337004403723005975712799809 : 8D1D83081A8667CD PRP proof power = 7 PRP: Verified Proof certified good
2020-12-03	Joss	F-PM1	Factor: 13337004403723005975712799809 / (P-1, B1=345585, B2=3455857, E=6)
2017-12-16	kkmrkkblmbrbk	C-PRP	M3455857/304115417 : 8D1D83081A8667CD PRP: Verified (Factored) PRP without proof (not generated)
2017-11-06	Oliver Kruse	C-PRP	M3455857/304115417 : 8D1D83081A8667CD PRP: Verified (Factored) PRP without proof (not generated)