8 327 381 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 2⁶⁸

TF target 2⁶⁸

Factored

Factor	Digits	Bits	Date
16046578741219225767049	23	73.8	2013-05-10 04:41:29

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored	1999-11-04	Bill Hwang	7E110FB0FFBA4BAC	6568344	Windows,Prime95,v19,(aka WV1)
Factored	2003-03-27	Brett Milner	7E110FB0FFBA4BAC	7045230	Windows,Prime95,v21,NT service,(aka WX5)

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2018-10-12	Oliver Kruse	F99F008B2650DFCD	1	4104149	5	3
Verified	PRP without proof (not generated)	2020-04-20	ATH	F99F008B2650DFCD	1	6146174	5	3

History

Date	User	Type	Result
2025-03-14	beep	NF-PM1	B1=1750000, B2=6798611820
2020-04-20	ATH	C-PRP	M8327381/16046578741219225767049 : F99F008B2650DFCD
2018-10-12	Oliver Kruse	C-PRP	M8327381/16046578741219225767049 : F99F008B2650DFCD
2013-05-10	Lukasz Wrobel	F-ECM	Factor: 16046578741219225767049
2011-02-20	Carsten Kossendey	NF-PM1	B1=510000, B2=15810000, E=12
2003-03-27	-anonymous-	C-LL	7E110FB0FFBA4BAC
2002-09-07	Windstalker	NF-PM1	B1=35000, B2=35000
2002-08-31	Windstalker	NF	no factor TF: 1-64
1999-11-04	-anonymous-	C-LL	7E110FB0FFBA4BAC
1999-04-23	-anonymous-	NF	no factor TF: 1-63
1998-09-20	-anonymous-	NF	no factor TF: 1-62