4 178 051 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
345140437009	12	38.3	old
47740194024307974496713169	26	85.3	2023-01-20 18:14:30

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	D27D3214160D6354	1	0	1	3
Verified (Factored)	2018-01-15	ATH	D27D3214160D6354	1	1607805	1	3
Verified	2023-01-26	Perig	989F230B2B00DB2C	2	824328	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-20	47740194024307974496713169	224000	224000

History

Date	User	Type	Result
2023-01-26	curtisc	CERT	PRP Certification Proof certified good
2023-01-26	Perig	C-PRP	M4178051/345140437009/47740194024307974496713169 : 989F230B2B00DB2C PRP proof power = 7 PRP: Verified Proof certified good
2023-01-25	USAFSS	NF-PM1	B1=337000, B2=227966310
2023-01-20	USAFSS	F-PM1	Factor: 47740194024307974496713169 / (P-1, B1=224000)
2018-01-15	ATH	C-PRP	M4178051/345140437009 : D27D3214160D6354 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4178051/345140437009 : D27D3214160D6354 PRP: Verified (Factored) PRP without proof (not generated)