8 329 333 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 2⁶⁸

Factored

Factor	Digits	Bits	Date
5736758973542119563031	22	72.3	2020-01-03 18:55:44

P-1 factors

Date	Factors	B1	B2
2020-01-03	5736758973542119563031	240000	4440000

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	Software
Factored	1999-11-04	Ralf Laue	8A681D633BFBC145	3510846	Windows,Prime95,v19,NT service,(aka WV5)
Factored	2002-10-12	Christos Kilitzirakis	8A681D633BFBC145	910424	Windows,Prime95,v21,(aka WX1)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2020-01-03	mrh	CCB9354AC591098F	1	7509269	5	3
Verified	PRP without proof (not generated)	2020-05-10	Luigi Morelli	CCB9354AC591098F	1	4786237	5	3

History

Date	User	Type	Result
2025-03-14	beep	NF-PM1	B1=1750000, B2=6798611820
2020-05-10	Luigi Morelli	C-PRP	M8329333/5736758973542119563031 : CCB9354AC591098F
2020-01-03	mrh	C-PRP	M8329333/5736758973542119563031 : CCB9354AC591098F
2020-01-03	Numberwang	F-PM1	Factor: 5736758973542119563031 / B1=240000, B2=4440000
2019-12-05	mnd9	NF	no factor TF: 68-69
2018-01-16	monst	NF	no factor TF: 67-68
2015-12-26	snme2pm1	NF	no factor TF: 66-67
2015-05-28	VictordeHollander	NF	no factor TF: 65-66
2014-03-12	lycorn	NF	no factor TF: 64-65
2012-08-01	firejuggler	NF-PM1	B1=95000, B2=1662500, E=6
2002-10-12	-anonymous-	C-LL	8A681D633BFBC145
2002-09-14	-anonymous-	NF-PM1	B1=40000, B2=370000
2002-05-05	Dave Zook	NF	no factor TF: 1-64
1999-11-04	-anonymous-	C-LL	8A681D633BFBC145
1999-09-22	Dave Zook	NF	no factor TF: 1-64
1998-12-06	-anonymous-	NF	no factor TF: 1-63
1998-11-28	-anonymous-	NF	no factor TF: 1-62
1998-09-06	-anonymous-	NF	no factor TF: 1-61