4 015 931 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
191086031860060496983	21	67.4	2022-06-17 12:04:54
5071234388508127809751	22	72.1	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)	1998-12-27	John MacPherson	350AC3D127E057F5	0
Verified (Factored)	1999-09-30	David H Garza	350AC3D127E057F5	3265266

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-13	Oliver Kruse	2776FF032C37CE54	1	3123715	5	3
Verified (Factored)	2017-12-20	kkmrkkblmbrbk	2776FF032C37CE54	1	3816073	5	3
Verified	2022-06-22	Perig	2776FF032C37CE54	2	2563334	5	3

History

Date	User	Type	Result
2022-08-13	USAFSS	NF-PM1	B1=180000, B2=89607000
2022-06-23	carlds	CERT	PRP Certification Proof certified good
2022-06-22	Perig	C-PRP	M4015931/5071234388508127809751/191086031860060496983 : 2776FF032C37CE54 PRP proof power = 7 PRP: Verified Proof certified good
2022-06-21	LordJulius	NF	no factor from 2^66 to 2^67
2022-06-21	LordJulius	NF	no factor from 2^65 to 2^66
2022-06-21	LordJulius	NF	no factor from 2^64 to 2^65
2022-06-21	LordJulius	NF	no factor from 2^63 to 2^64
2022-06-21	LordJulius	NF	no factor from 2^61 to 2^63
2022-06-17	TJAOI	F	Factor: 191086031860060496983 / TF: 67-68
2017-12-20	kkmrkkblmbrbk	C-PRP	M4015931/5071234388508127809751 : 2776FF032C37CE54 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-13	Oliver Kruse	C-PRP	M4015931/5071234388508127809751 : 2776FF032C37CE54 PRP: Verified (Factored) PRP without proof (not generated)