7 640 279 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁹

TF target 2⁶⁷

Factored

Factor	Digits	Bits	Date
471293216135538970424599	24	78.6	2020-05-23 21:10:37

P-1 factors

Date	Factors	B1	B2
2020-05-23	471293216135538970424599	310809	6216181

ECM

Digits	B1	Curves
25	50000	6 / 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	Software
Factored	1999-08-07	Bryan Fullerton	2C871804351C36D7	4676573	Linux 32-bit,Prime95,v18,(aka WU2)
Factored	2002-11-16	Gareth Randall	2C871804351C36D7	1580621	Linux 32-bit,Prime95,v21,(aka WX2)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2020-05-26	ANONYMOUS	80CFA2750A180B6B	1	3525240	5	3
Verified	PRP without proof (not generated)	2020-05-27	Luigi Morelli	80CFA2750A180B6B	1	7226181	5	3

History

Date	User	Type	Result
2025-10-17	Sid & Andy	NF-PM1	B1=2400000, B2=3901006200
2020-05-27	Luigi Morelli	C-PRP	M7640279/471293216135538970424599 : 80CFA2750A180B6B
2020-05-26	ANONYMOUS	C-PRP	M7640279/471293216135538970424599 : 80CFA2750A180B6B
2020-05-23	GdS	F-PM1	Factor: 471293216135538970424599 / B1=310809, B2=6216181
2020-02-28	TJAOI	NF	no factor TF: 68-69
2018-07-31	ramgeis	NF	no factor TF: 67-68
2016-09-16	Gordon Spence	NF	no factor TF: 66-67
2015-06-12	VictordeHollander	NF	no factor TF: 65-66
2013-12-05	David Campeau	NF	no factor TF: 64-65
2013-10-11	Nesowa	NF	no factor TF: 63-64
2012-07-25	Nesowa	NF-PM1	B1=95000, B2=1757500, E=6
2002-11-16	Gareth Randall	C-LL	2C871804351C36D7
2002-09-29	Gareth Randall	NF-PM1	B1=35000, B2=323750
1999-08-07	-anonymous-	C-LL	2C871804351C36D7
1998-07-29	-anonymous-	NF	no factor TF: 1-63