256 579 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
7364843617	10	32.8	old
2059086847566011497673	22	70.8	2016-03-11 13:48:15
216797667997308422734706119	27	87.5	2022-05-14 22:26:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	423 / 640

Estimated T-Level: 28.3 ⓘ

TF below 2^89 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	8FE6D6857867D664	2	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	8FE6D6857867D664	2	167685	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	8FE6D6857867D664	2	31222	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	076AD6CA81ED6E61	2	198092	5	3
Verified	2022-05-14	aperson1	076AD6CA81ED6E61	3	30030	5	3

History

Date	User	Type	Result
2022-05-14	Jim DeLuca	CERT	PRP Certification Proof certified good
2022-05-14	aperson1	C-PRP	M256579/7364843617/2059086847566011497673/216797667997308422734706119 : 076AD6CA81ED6E61 PRP proof power = 5 PRP: Verified Proof certified good
2022-05-14	Corey	F-ECM	Factor: 216797667997308422734706119 / (ECM curve 7, B1=250000, B2=25000000, Sigma=4325952875789418)
2022-04-27	Oliver Kruse	NF-PM1	B1=30000000, B2=10035812696910
2021-09-08	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M256579/7364843617/2059086847566011497673 : 076AD6CA81ED6E61 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M256579/7364843617/2059086847566011497673 : 8FE6D6857867D664 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M256579/7364843617/2059086847566011497673 : 8FE6D6857867D664 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M256579/7364843617/2059086847566011497673 : 8FE6D6857867D664 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M256579/7364843617/2059086847566011497673 : 8FE6D6857867D664 PRP without proof (not generated)
2016-03-11	TJAOI	F-ECM	Factor: 2059086847566011497673 / (ECM curve 75, B1=50000, B2=5000000)