8 332 547 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
54675560415069180287	20	65.6	2012-08-04 05:28:35

P-1 factors

Date	Factors	B1	B2
2012-08-04	54675560415069180287	95000	1662500

ECM

Digits	B1	Curves
25	50000	16 / 280

Estimated T-Level: 20.3 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored	2000-02-23	A.JILKA	7978A7FBC89BF1BA	803785	Windows,Prime95,v19,NT service,(aka WV5)
Factored	2002-12-02	Robin Stevens	7978A7FBC89BF1BA	5776058	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)	2018-10-14	Luigi Morelli	013D58DC83722D7B	1	5957124	5	3
Verified	PRP without proof (not generated)	2020-04-24	arnaud	013D58DC83722D7B	1	8183338	5	3

History

Date	User	Type	Result
2025-01-03	Stef42	NF-PM1	B1=1109000, B2=1551786600
2021-05-12	firejuggler	NF-PP1	Start=6/5, B1=500000, B2=26000000
2021-04-30	firejuggler	NF-PP1	Start=2/7, B1=500000, B2=26500000
2020-04-24	arnaud	C-PRP	M8332547/54675560415069180287 : 013D58DC83722D7B
2018-10-14	Luigi Morelli	C-PRP	M8332547/54675560415069180287 : 013D58DC83722D7B
2012-08-04	firejuggler	F	Factor: 54675560415069180287
2002-12-02	-anonymous-	C-LL	7978A7FBC89BF1BA
2002-09-07	-anonymous-	NF-PM1	B1=40000, B2=540000
2000-02-23	-anonymous-	C-LL	7978A7FBC89BF1BA
2000-01-25	-anonymous-	NF	no factor TF: 1-64
1999-04-23	Data	NF	no factor TF: 1-63
1998-11-28	-anonymous-	NF	no factor TF: 1-62
1998-11-28	-anonymous-	NF	no factor TF: 1-61