7 301 633 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 2⁷⁰

TF target 2⁶⁷

Factored

Factor	Digits	Bits	Date
733519100087285045089	21	69.3	2020-05-27 01:11:07

ECM

Digits	B1	Curves
25	50000	53 / 280

Estimated T-Level: 20.9 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Software
Factored	2000-06-11	Ronald Hofstede	954B5673EB2A1191	4940439	Windows,Prime95,v19,(aka WV1)
Factored	2002-05-05	Massimo Cappelli	954B5673EB2A1191	4829328	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	riccardo uberti	09F2D5F53160D493	1	3939107	5	3
Verified	PRP without proof (not generated)	2020-06-06	oodaira	09F2D5F53160D493	1	3285956	5	3

History

Date	User	Type	Result
2025-10-08	Sid & Andy	NF-PM1	B1=2600000, B2=4388651190
2021-06-01	riccardo uberti	NF-PP1	Start=6/5, B1=1500000, B2=30000000
2021-05-30	riccardo uberti	NF-PP1	Start=2/7, B1=1500000, B2=30000000
2020-06-06	oodaira	C-PRP	M7301633/733519100087285045089 : 09F2D5F53160D493
2020-05-27	riccardo uberti	C-PRP	M7301633/733519100087285045089 : 09F2D5F53160D493
2020-05-27	GdS	F	Factor: 733519100087285045089 / TF: 69-70
2020-05-27	GdS	NF	no factor TF: 68-69
2020-03-06	GdS	NF-PM1	B1=310809, B2=6216181
2018-08-05	ramgeis	NF	no factor TF: 67-68
2016-10-01	Gordon Spence	NF	no factor TF: 66-67
2015-06-16	VictordeHollander	NF	no factor TF: 65-66
2013-11-12	David Campeau	NF	no factor TF: 64-65
2012-09-05	Squeeky_Squirrel	NF-PM1	B1=90000, B2=1620000, E=6
2012-03-24	David Campeau	NF	no factor TF: 63-64
2002-05-05	Massimo Cappelli (ik5pwa)	C-LL	954B5673EB2A1191
2002-04-14	Massimo Cappelli (ik5pwa)	NF-PM1	B1=35000, B2=306250
2000-06-11	-anonymous-	C-LL	954B5673EB2A1191
1998-07-05	-anonymous-	NF	no factor TF: 1-63
1998-06-28	-anonymous-	NF	no factor TF: 1-62