17 504 141 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 2⁷⁵

TF target 2⁶⁹

Factored

Factor	Digits	Bits	Date
426315489966437174530195419710289226952407399	45	148.3	old

ECM

Digits	B1	Curves
25	50000	40 / 280

Estimated T-Level: 20.7 ⓘ

TF below 2^64 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	PRP without proof (not generated)	2019-02-19	M8909387	BDA827E6F5BE5A7C	1	16332875	5	3
Verified	PRP without proof (not generated)	2019-03-30	ANONYMOUS	BDA827E6F5BE5A7C	1	7721301	5	3
Verified	Certified Good	2024-09-30	kkmrkkblmbrbk	BDA827E6F5BE5A7C	1	3173061	5	3

History

Date	User	Type	Result
2024-09-30	jsk1356	CERT	Proof certified good
2024-09-30	kkmrkkblmbrbk	C-PRP	Proof Certified Good Proof Power: 8
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor TF: 74-75
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor TF: 73-74
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor TF: 72-73
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor TF: 71-72
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor TF: 70-71
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor TF: 69-70
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor TF: 68-69
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor TF: 67-68
2020-03-14	b3s23love	NF-PM1	B1=152429
2020-03-09	Christoph Zenger	NF	no factor TF: 65-75
2020-01-23	Christoph Zenger	NF-PM1	B1=1000000, B2=30000000
2019-03-30	ANONYMOUS	C-PRP	M17504141/426315489966437174530195419710289226952407399 : BDA827E6F5BE5A7C
2019-02-19	M8909387	C-PRP	M17504141/426315489966437174530195419710289226952407399 : BDA827E6F5BE5A7C
2001-09-22	-anonymous-	NF	no factor TF: 1-65
2001-03-17	Net_Force	NF	no factor TF: 1-59
2001-02-11	Net_Force	NF	no factor TF: 1-58