8 333 071 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
342923846657145628103	21	68.2	2019-12-08 18:54:44

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	1999-10-29	Wim de Lange	D837AE7B9201F3E7	357710	Windows,Prime95,v19,(aka WV1)
Factored	2002-09-29	Lawrence Cairns-Smith	D837AE7B9201F3E7	3826439	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)	2019-12-08	mrh	73639EBF74073352	1	4240573	5	3
Verified	PRP without proof (not generated)	2020-04-23	marssystems	73639EBF74073352	1	6745361	5	3

History

Date	User	Type	Result
2025-03-14	beep	NF-PM1	B1=1750000, B2=6798611820
2020-04-23	marssystems	C-PRP	M8333071/342923846657145628103 : 73639EBF74073352
2019-12-08	mrh	C-PRP	M8333071/342923846657145628103 : 73639EBF74073352
2019-12-08	mnd9	F	Factor: 342923846657145628103 / TF: 68-69
2018-01-18	monst	NF	no factor TF: 67-68
2016-03-16	Mark Rose	NF	no factor TF: 64-65
2015-12-27	snme2pm1	NF	no factor TF: 66-67
2015-05-28	VictordeHollander	NF	no factor TF: 65-66
2013-04-30	Nesowa	NF-PM1	B1=510000, B2=14535000, E=12
2012-10-31	Nesowa	NF-PM1	B1=90000, B2=1485000, E=6
2002-09-29	lozcs	C-LL	D837AE7B9201F3E7
2002-09-14	lozcs	NF	no factor TF: 1-64
2002-09-14	lozcs	NF-PM1	B1=40000, B2=370000
1999-10-29	-anonymous-	C-LL	D837AE7B9201F3E7
1999-04-13	-anonymous-	NF	no factor TF: 1-63
1998-09-06	-anonymous-	NF	no factor TF: 1-62
1998-09-06	-anonymous-	NF	no factor TF: 1-61