206 909 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
498761563245916992290783	24	78.7	2010-07-02 14:44:46

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	571 / 640

Estimated T-Level: 29.5 ⓘ

TF below 2^93 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Chris Haley	4A88621B2C6DE90F	0
Verified (Factored)		Mike O'Brien	4A88621B2C6DE90F	0
Verified (Factored)		Eivind Triel	4A88621B2C6DE90F	197761
Verified (Factored)	2002-12-16	Brian J. Beesley	4A88621B2C6DE90F	46902

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	D175CF42CDF6F1E1	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	D175CF42CDF6F1E1	1	33337	1	3
Verified	2020-04-17	Oliver Kruse	7AE3D44EB6726527	1	79463	5	3
Verified	2023-08-03	USAFSS	7AE3D44EB6726527	1	170089	5	3

History

Date	User	Type	Result
2023-08-03	garo	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M206909/498761563245916992290783 : 7AE3D44EB6726527 PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-02-11	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2021-05-09	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M206909/498761563245916992290783 : 7AE3D44EB6726527 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M206909/498761563245916992290783 : D175CF42CDF6F1E1 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M206909/498761563245916992290783 : D175CF42CDF6F1E1 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M206909/498761563245916992290783 : D175CF42CDF6F1E1 PRP without proof (not generated)
2010-07-02	Dmitry B. Khachaturov	F-ECM	Factor: 498761563245916992290783
2009-03-11	axn	NF-PM1	B1=5000000, B2=200000000, E=12
2009-02-06	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