198 097 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
2180651777	10	31.0	old
13682559791	11	33.7	2008-07-27 10:50:10
42395531359	11	35.3	2008-07-27 10:50:10
6485513848219158769	19	62.5	2014-07-06 10:38:51
268147273649564275518657239538113	33	107.7	2020-10-24 01:38:48

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	609 / 640

Estimated T-Level: 29.8 ⓘ

TF below 2^94 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	B82CF5BA9D892CD9	4	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	B82CF5BA9D892CD9	4	134996	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	9C4F8380E1C79686	4	53490	5	3
Verified	2020-10-24	Jinyuan Wang	9C4F8380E1C79686	5	146161	5	3
Verified	2020-10-26	LordJulius	9C4F8380E1C79686	5	182758	5	3
Verified	2023-08-24	USAFSS	9C4F8380E1C79686	5	61752	5	3

History

Date	User	Type	Result
2023-08-24	qprime	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M198097/2180651777/13682559791/42395531359/6485513848219158769/268147273649564275518657239538113 : 9C4F8380E1C79686 PRP proof power = 5 PRP: Verified Proof certified good
2020-10-26	Valerio Bellizzomi	CERT	PRP Certification Proof certified good
2020-10-26	LordJulius	C-PRP	M198097/2180651777/13682559791/42395531359/6485513848219158769/268147273649564275518657239538113 : 9C4F8380E1C79686 PRP proof power = 5 PRP: Verified Proof certified good
2020-10-24	Jinyuan Wang	C-PRP	M198097/2180651777/13682559791/42395531359/6485513848219158769/268147273649564275518657239538113 : 9C4F8380E1C79686 PRP proof power = 5 PRP: Verified PRP proof never uploaded
2020-10-24	nordi	F-ECM	Factor: 268147273649564275518657239538113 / (ECM curve 6, B1=250000, B2=25000000, Sigma=4252707194435502)
2020-04-17	Oliver Kruse	C-PRP	M198097/2180651777/13682559791/42395531359/6485513848219158769 : 9C4F8380E1C79686 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M198097/2180651777/13682559791/42395531359/6485513848219158769 : B82CF5BA9D892CD9 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-30	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2017-09-22	Oliver Kruse	C-PRP	M198097/known_factors : B82CF5BA9D892CD9 PRP without proof (not generated)
2014-07-06	TJAOI	F-ECM	Factor: 6485513848219158769
2008-07-27	J Feitsma	F	Factor: 42395531359
2008-07-27	J Feitsma	F	Factor: 13682559791