4 045 567 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
757394871473	12	39.5	old
2874474291886553	16	51.4	2014-06-25 11:22:06
3431788526964218411795239	25	81.5	2022-09-06 07:20:09

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	677525103C087A3A	2	0	1	3
Verified (Factored)	2018-01-08	Oliver Kruse	677525103C087A3A	2	2909811	1	3
Verified	2022-09-12	Perig	4AC224F2B85A13D3	3	305365	5	3

P-1 factors

Date	Factor	B1	B2
2022-09-06	3431788526964218411795239	180000	96593640

History

Date	User	Type	Result
2022-09-12	volki	CERT	PRP Certification Proof certified good
2022-09-12	Perig	C-PRP	M4045567/757394871473/2874474291886553/3431788526964218411795239 : 4AC224F2B85A13D3 PRP proof power = 7 PRP: Verified Proof certified good
2022-09-06	USAFSS	F-PM1	Factor: 3431788526964218411795239 / (P-1, B1=180000, B2=96593640)
2018-01-08	Oliver Kruse	C-PRP	M4045567/757394871473/2874474291886553 : 677525103C087A3A PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4045567/2874474291886553/757394871473 : 677525103C087A3A PRP: Verified (Factored) PRP without proof (not generated)
2014-06-25	TJAOI	F	Factor: 2874474291886553