255 971 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
3620433146271791631374063	25	81.6	2020-10-28 10:11:43
357630485411992687287129073	27	88.2	2020-02-09 20:09:38
69535498222814385723733792463041	32	105.8	2011-09-21 22:20:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	430 / 640

Estimated T-Level: 28.4 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	7245	0
Verified (Factored)		Unknown	7245	0
Verified (Factored)		Brian J. Beesley	9F87C03579D4F245	0
Verified (Factored)		Eivind Triel	9F87C03579D4F245	198096
Verified (Factored)	2001-10-13	Brian J. Beesley	9F87C03579D4F245	66742

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	2A686C67E86D9B46	1	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	2A686C67E86D9B46	1	72407	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	2A686C67E86D9B46	1	224365	1	3
Verified (Factored)	2020-02-10	Jinyuan Wang	8046D386AF5CF796	2	193576	5	3
Verified (Factored)	2020-02-11	Jinyuan Wang	8046D386AF5CF796	2	35615	5	3
Verified (Factored)	2020-02-14	Alvin Bunk	8046D386AF5CF796	2	182854	5	3
Verified	2020-10-28	mrh	8046D386AF5CF796	3	74403	5	3

History

Date	User	Type	Result
2022-04-27	Oliver Kruse	NF-PM1	B1=30000000, B2=10035812696910
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2021-09-05	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-10-28	mrh	C-PRP	M255971/69535498222814385723733792463041/357630485411992687287129073/3620433146271791631374063 : 8046D386AF5CF796 PRP: Verified PRP without proof (small exponent)
2020-10-28	nordi	F-ECM	Factor: 3620433146271791631374063 / (ECM curve 6, B1=250000, B2=25000000, Sigma=2853976561509813)
2020-02-14	Alvin Bunk	C-PRP	M255971/69535498222814385723733792463041/357630485411992687287129073 : 8046D386AF5CF796 PRP: Verified PRP without proof (small exponent)
2020-02-11	Jinyuan Wang	C-PRP	M255971/357630485411992687287129073/69535498222814385723733792463041 : 8046D386AF5CF796 PRP: Verified PRP without proof (small exponent)
2020-02-10	Jinyuan Wang	C-PRP	M255971/357630485411992687287129073/69535498222814385723733792463041 : 8046D386AF5CF796 PRP: Verified PRP without proof (small exponent)
2020-02-09	Niels_Mache_Nextcloud	F-ECM	Factor: 357630485411992687287129073 / (ECM curve 3, B1=250000, B2=25000000, Sigma=8180100874021733)
2017-11-06	kkmrkkblmbrbk	C-PRP	M255971/69535498222814385723733792463041 : 2A686C67E86D9B46 PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M255971/69535498222814385723733792463041 : 2A686C67E86D9B46 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M255971/69535498222814385723733792463041 : 2A686C67E86D9B46 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M255971/69535498222814385723733792463041 : 2A686C67E86D9B46 PRP without proof (not generated)
2011-09-21	Buckle	F-ECM	Factor: 69535498222814385723733792463041
2011-02-09	Joss	NF-PM1	B1=2000000
2009-01-26	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-01	Sturle Sunde	NF	no factor from 2^58 to 2^59