4 197 313 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
38883907633	11	35.2	old
4403019910306471	16	52.0	2014-07-18 11:20:57
15500617208251016164007	23	73.7	2023-03-05 05:02:31

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	078142A654D8B12F	2	0	1	3
Verified (Factored)	2018-01-18	Oliver Kruse	078142A654D8B12F	2	2139758	1	3
Verified	2023-03-11	Massimo Cappelli (ik5pwa)	07E63890796D9343	3	3291764	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-05	15500617208251016164007	224000	119776800

History

Date	User	Type	Result
2023-03-11	slandrum	CERT	PRP Certification Proof certified good
2023-03-11	Massimo Cappelli (ik5pwa)	C-PRP	M4197313/38883907633/4403019910306471/15500617208251016164007 : 07E63890796D9343 PRP proof power = 7 PRP: Verified Proof certified good
2023-03-05	USAFSS	F-PM1	Factor: 15500617208251016164007 / (P-1, B1=224000, B2=119776800)
2018-01-18	Oliver Kruse	C-PRP	M4197313/38883907633/4403019910306471 : 078142A654D8B12F PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4197313/38883907633/4403019910306471 : 078142A654D8B12F PRP: Verified (Factored) PRP without proof (not generated)
2014-07-18	TJAOI	F	Factor: 4403019910306471