724 721 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
31921061167	11	34.9	old
26463123861107517478159	23	74.5	2014-10-07 21:18:00

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	2017-09-27	Oliver Kruse	E3E7A30B51A77D5F	2	0	1	3
Verified	2017-09-28	Oliver Kruse	E3E7A30B51A77D5F	2	0	1	3
Verified	2017-11-09	kkmrkkblmbrbk	E3E7A30B51A77D5F	2	385584	1	3
Unverified (Reliable)	2020-04-20	Oliver Kruse	9FC9D56FAA8649__	2	547449	5	3

P-1 factors

Date	Factor	B1	B2
2014-10-07	26463123861107517478159	500000	15000000

History

Date	User	Type	Result
2023-01-04	USAFSS	NF-PM1	B1=1500000, B2=3613488450
2020-04-20	Oliver Kruse	C-PRP	M724721/31921061167/26463123861107517478159 : 9FC9D56FAA8649__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M724721/31921061167/26463123861107517478159 : E3E7A30B51A77D5F PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M724721/31921061167/26463123861107517478159 : E3E7A30B51A77D5F PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M724721/31921061167/26463123861107517478159 : E3E7A30B51A77D5F PRP: Unverified (Reliable) PRP without proof (not generated)
2014-10-07	alpertron	F-PM1	Factor: 26463123861107517478159 / (P-1, B1=500000, B2=15000000, E=12)