4 178 191 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
7424822303250559	16	52.7	old
13980652038428731816966079	26	83.5	2023-01-20 19:28:31

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)	2017-09-20	kkmrkkblmbrbk	F9179F892D21643B	1	0	1	3
Verified (Factored)	2018-01-17	Oliver Kruse	F9179F892D21643B	1	1824198	1	3
Verified	2023-01-27	TravisJank	75CB29DB19A1B5E0	2	3477049	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-20	13980652038428731816966079	224000	146825250

History

Date	User	Type	Result
2023-01-27	MurrayInfoSys	CERT	PRP Certification Proof certified good
2023-01-27	TravisJank	C-PRP	M4178191/7424822303250559/13980652038428731816966079 : 75CB29DB19A1B5E0 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-20	USAFSS	F-PM1	Factor: 13980652038428731816966079 / (P-1, B1=224000, B2=146825250)
2018-01-17	Oliver Kruse	C-PRP	M4178191/7424822303250559 : F9179F892D21643B PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4178191/7424822303250559 : F9179F892D21643B PRP: Verified (Factored) PRP without proof (not generated)