4 707 377 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
1149353168321	13	40.1	old
187607302130746217	18	57.4	2015-06-16 11:12:43
39358813420493359127	20	65.1	2018-05-30 12:28:54

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)	2017-11-18	kkmrkkblmbrbk	D7F0B3544CC9DE8A	2	460757	5	3
Verified (Factored)	2018-03-18	Luigi Morelli	D7F0B3544CC9DE8A	2	2931853	5	3
Verified	2018-06-01	_p95holder_	D7F0B3544CC9DE8A	3	2613958	5	3

History

Date	User	Type	Result
2022-11-01	USAFSS	NF-PM1	B1=240000, B2=156930060
2022-04-23	J.R. Allen	NF	no factor from 2^64 to 2^65
2022-04-23	J.R. Allen	NF	no factor from 2^63 to 2^64
2022-04-23	J.R. Allen	F	Factor: 187607302130746217 / TF: 1-63
2022-04-23	J.R. Allen	F	Factor: 1149353168321 / TF: 1-63
2018-06-01	_p95holder_	C-PRP	M4707377/1149353168321/187607302130746217/39358813420493359127 : D7F0B3544CC9DE8A PRP: Verified PRP without proof (not generated)
2018-05-30	TJAOI	F	Factor: 39358813420493359127 / TF: 65-66
2018-03-18	Luigi Morelli	C-PRP	M4707377/1149353168321/187607302130746217 : D7F0B3544CC9DE8A PRP: Verified PRP without proof (not generated)
2017-11-18	kkmrkkblmbrbk	C-PRP	M4707377/1149353168321/187607302130746217 : D7F0B3544CC9DE8A PRP: Verified PRP without proof (not generated)
2015-06-16	TJAOI	F	Factor: 187607302130746217 / TF: 57-58