17 504 141 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

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	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-02-19	M8909387	BDA827E6F5BE5A7C	1	16332875	5	3
Verified	2019-03-30	ANONYMOUS	BDA827E6F5BE5A7C	1	7721301	5	3
Verified	2024-09-30	kkmrkkblmbrbk	BDA827E6F5BE5A7C	1	3173061	5	3

History

Date	User	Type	Result
2024-09-30	jsk1356	CERT	PRP Certification Proof certified good
2024-09-30	kkmrkkblmbrbk	C-PRP	M17504141/426315489966437174530195419710289226952407399 : BDA827E6F5BE5A7C PRP proof power = 8 PRP: Verified Proof certified good
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor from 2^74 to 2^75
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor from 2^73 to 2^74
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor from 2^72 to 2^73
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor from 2^71 to 2^72
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor from 2^70 to 2^71
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor from 2^69 to 2^70
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor from 2^68 to 2^69
2024-07-14	J. Gareth "Kit" Moreton	NF	no factor from 2^67 to 2^68
2020-03-14	b3s23love	NF-PM1	B1=152429
2020-03-09	Christoph Zenger	NF	no factor from 2^65 to 2^75
2020-01-23	Christoph Zenger	NF-PM1	B1=1000000, B2=30000000, E=12
2019-03-30	ANONYMOUS	C-PRP	M17504141/426315489966437174530195419710289226952407399 : BDA827E6F5BE5A7C PRP: Verified PRP without proof (not generated)
2019-02-19	M8909387	C-PRP	M17504141/426315489966437174530195419710289226952407399 : BDA827E6F5BE5A7C PRP: Verified PRP without proof (not generated)