4 196 513 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2250908269040458961	19	61.0	old

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	Shift
Verified (Factored)		Sylvain Riendeau	C96B2503F43E751E	0
Verified (Factored)	1999-10-15	William A. Lathan	C96B2503F43E751E	1739017

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	349BBC47BFB545B2	1	0	1	3
Verified	2018-01-18	Oliver Kruse	349BBC47BFB545B2	1	666631	1	3

History

Date	User	Type	Result
2023-03-05	USAFSS	NF-PM1	B1=224000, B2=119776800
2018-01-18	Oliver Kruse	C-PRP	M4196513/2250908269040458961 : 349BBC47BFB545B2 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4196513/2250908269040458961 : 349BBC47BFB545B2 PRP: Verified PRP without proof (not generated)