4 657 567 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
3760331754669729097	19	61.7	2009-09-07 13:50:56
2792118232030017978817	22	71.2	2019-03-16 16:36:07

ECM

Digits	B1	Curves
25	50000	2 / 280

Estimated T-Level: 20.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1998-08-09	Paul Kwiatkowski	F21CDF304DC47E54	0
Verified (Factored)	2000-02-01	Alex_Alaniz	F21CDF304DC47E54	2181897

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	EB19949CB2F39F95	1	0	1	3
Verified (Factored)	2018-03-17	Battlemaxx	EB19949CB2F39F95	1	2137399	1	3
Verified	2019-03-17	artorollo	F139BCA11AC65DF7	2	2372834	5	3
Verified	2019-03-18	kkmrkkblmbrbk	F139BCA11AC65DF7	2	689957	5	3

History

Date	User	Type	Result
2023-08-17	USAFSS	NF-PM1	B1=240000, B2=91991760
2019-03-18	kkmrkkblmbrbk	C-PRP	M4657567/3760331754669729097/2792118232030017978817 : F139BCA11AC65DF7 PRP: Verified PRP without proof (not generated)
2019-03-17	artorollo	C-PRP	M4657567/3760331754669729097/2792118232030017978817 : F139BCA11AC65DF7 PRP: Verified PRP without proof (not generated)
2019-03-16	ATH	F-ECM	Factor: 2792118232030017978817 / (ECM curve 2, B1=50000, B2=5000000, Sigma=2013079425314399)
2018-03-17	Battlemaxx	C-PRP	M4657567/3760331754669729097 : EB19949CB2F39F95 PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4657567/3760331754669729097 : EB19949CB2F39F95 PRP: Verified PRP without proof (not generated)
2009-09-07	Carsten Kossendey	F-PM1	Factor: 3760331754669729097