7 310 167 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
318724466936105777233	21	68.1	2020-05-27 01:11:08

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	1999-11-24	Lars Lindley	12CFE83680A0C0BF	2957494	Windows,Prime95,v19,(aka WV1)
Factored	2002-04-20	Ars Technica Team Prime Rib	12CFE83680A0C0BF	521288	Windows,Prime95,v21,(aka WX1)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2020-05-27	ATH	30DFB43824DC067B	1	607957	5	3
Verified	PRP without proof (not generated)	2020-05-27	oodaira	30DFB43824DC067B	1	6255702	5	3

History

Date	User	Type	Result
2020-05-27	oodaira	C-PRP	M7310167/318724466936105777233 : 30DFB43824DC067B
2020-05-27	ATH	C-PRP	M7310167/318724466936105777233 : 30DFB43824DC067B
2020-05-27	GdS	F	Factor: 318724466936105777233 / TF: 68-69
2020-03-15	GdS	NF-PM1	B1=777023, B2=15540452
2020-03-03	GdS	NF-PM1	B1=310809, B2=6216181
2018-08-05	ramgeis	NF	no factor TF: 67-68
2016-10-04	Gordon Spence	NF	no factor TF: 66-67
2015-06-21	VictordeHollander	NF	no factor TF: 65-66
2013-11-18	David Campeau	NF	no factor TF: 64-65
2013-10-28	Nesowa	NF	no factor TF: 63-64
2012-08-05	Nesowa	NF-PM1	B1=90000, B2=1620000, E=6
2002-04-20	Team Prime Rib	C-LL	12CFE83680A0C0BF
2002-03-16	Mr P-1	NF-PM1	B1=40000, B2=600000
1999-11-24	Lars Lindley	C-LL	12CFE83680A0C0BF
1998-06-28	-anonymous-	NF	no factor TF: 1-63