4 174 409 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
133581089	9	27.0	old
35956900979889847	17	55.0	2014-12-30 15:34:29
10462110443544551449956322753	29	93.1	2023-01-12 04:10:07

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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	9DC89836EC8572A0	2	0	1	3
Verified (Factored)	2018-01-15	ATH	9DC89836EC8572A0	2	1064386	1	3
Verified	2023-01-18	Perig	3A0B93B7F62704D5	3	1977069	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-12	10462110443544551449956322753	200000	108185220

History

Date	User	Type	Result
2023-01-18	Cybertom	CERT	PRP Certification Proof certified good
2023-01-18	Perig	C-PRP	M4174409/133581089/35956900979889847/10462110443544551449956322753 : 3A0B93B7F62704D5 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-12	USAFSS	F-PM1	Factor: 10462110443544551449956322753 / (P-1, B1=200000, B2=108185220)
2018-01-15	ATH	C-PRP	M4174409/133581089/35956900979889847 : 9DC89836EC8572A0 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4174409/133581089/35956900979889847 : 9DC89836EC8572A0 PRP: Verified (Factored) PRP without proof (not generated)
2014-12-30	TJAOI	F	Factor: 35956900979889847 / TF: 54-55