4 490 999 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
65110503503	11	35.9	old
1097975531260417	16	50.0	2014-05-16 11:34:03
31406954817146764557135673	26	84.7	2023-07-27 12:11:55

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 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	7847B776D705EBFB	2	0	1	3
Verified (Factored)	2018-02-16	ATH	7847B776D705EBFB	2	3308599	1	3
Verified	2023-08-02	Funky Waddle	F3951549033BDBDE	3	2298670	5	3

P-1 factors

Date	Factor	B1	B2
2023-07-27	31406954817146764557135673	336000	158258100

History

Date	User	Type	Result
2023-08-02	curtisc	CERT	PRP Certification Proof certified good
2023-08-02	Funky Waddle	C-PRP	M4490999/65110503503/1097975531260417/31406954817146764557135673 : F3951549033BDBDE PRP proof power = 7 PRP: Verified Proof certified good
2023-07-27	USAFSS	F-PM1	Factor: 31406954817146764557135673 / (P-1, B1=336000, B2=158258100)
2019-01-26	Conductor	F-ECM	Factor: 65110503503 / (ECM curve 1, B1=50000, B2=5000000)
2018-02-16	ATH	C-PRP	M4490999/65110503503/1097975531260417 : 7847B776D705EBFB PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4490999/1097975531260417/65110503503 : 7847B776D705EBFB PRP: Verified (Factored) PRP without proof (not generated)
2014-05-16	TJAOI	F	Factor: 1097975531260417