725 111 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
935393191	9	29.8	old
2834577416080246171273	22	71.3	2014-10-08 11:47:24
9038250838445443311406657	25	82.9	2023-01-04 18:31:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-27	Oliver Kruse	CD5F6C97CE2EDD48	2	0	1	3
Verified (Factored)	2017-09-28	Oliver Kruse	CD5F6C97CE2EDD48	2	0	1	3
Verified (Factored)	2017-11-09	kkmrkkblmbrbk	CD5F6C97CE2EDD48	2	558910	1	3
Verified (Factored)	2020-04-20	Oliver Kruse	0BE75D11098327B2	2	359402	5	3
Verified	2023-01-06	LordJulius	0BE75D11098327B2	3	75803	5	3

P-1 factors

Date	Factor	B1	B2
2014-10-08	2834577416080246171273	500000	15000000
2023-01-04	9038250838445443311406657	1500000	3613488450

History

Date	User	Type	Result
2023-01-06	curtisc	CERT	PRP Certification Proof certified good
2023-01-06	LordJulius	C-PRP	M725111/935393191/2834577416080246171273/9038250838445443311406657 : 0BE75D11098327B2 PRP proof power = 6 PRP: Verified Proof certified good
2023-01-04	USAFSS	F-PM1	Factor: 9038250838445443311406657 / (P-1, B1=1500000, B2=3613488450)
2020-04-20	Oliver Kruse	C-PRP	M725111/935393191/2834577416080246171273 : 0BE75D11098327B2 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M725111/935393191/2834577416080246171273 : CD5F6C97CE2EDD48 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M725111/935393191/2834577416080246171273 : CD5F6C97CE2EDD48 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M725111/935393191/2834577416080246171273 : CD5F6C97CE2EDD48 PRP: Verified (Factored) PRP without proof (not generated)
2014-10-08	alpertron	F-PM1	Factor: 2834577416080246171273 / (P-1, B1=500000, B2=15000000, E=12)