3 931 087 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
70759567	8	26.1	old
2498378945020177	16	51.1	2014-06-18 11:46:16
335801216511175352753	21	68.2	2022-05-23 20:31:14

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	E0E0ADD50E08FFD5	2	0	1	3
Verified (Factored)	2017-12-31	Oliver Kruse	E0E0ADD50E08FFD5	2	3112153	1	3
Verified	2022-05-29	XZT	0294ED11796AEE3D	3	3250109	5	3

P-1 factors

Date	Factor	B1	B2
2022-05-23	335801216511175352753	200000	119860650

History

Date	User	Type	Result
2022-10-04	Joss	NF-PM1	B1=1000000, B2=119860650
2022-05-29	GIMPS-PRIM	CERT	PRP Certification Proof certified good
2022-05-29	XZT	C-PRP	M3931087/70759567/2498378945020177/335801216511175352753 : 0294ED11796AEE3D PRP proof power = 7 PRP: Verified Proof certified good
2022-05-23	Joss	F-PM1	Factor: 335801216511175352753 / (P-1, B1=200000, B2=119860650)
2022-04-17	Joss	NF-PM1	B1=200000
2022-01-27	Joss	NF	no factor from 2^67 to 2^68
2017-12-31	Oliver Kruse	C-PRP	M3931087/70759567/2498378945020177 : E0E0ADD50E08FFD5 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3931087/2498378945020177/70759567 : E0E0ADD50E08FFD5 PRP: Verified (Factored) PRP without proof (not generated)
2014-06-18	TJAOI	F	Factor: 2498378945020177