186 601 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
1119607	7	20.1	old
6254699818313	13	42.5	2008-07-27 10:49:52
128352784307889637292588777	27	86.7	2020-07-14 10:51:25
6335814304984386400062255874736137	34	112.3	2020-04-22 03:31:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	161 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 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	414A8907A183513A	2	0	1	3
Verified (Factored)	2017-09-22	Oliver Kruse	414A8907A183513A	2	0	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	414A8907A183513A	2	78832	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F370BA2839A09323	2	128842	5	3
Verified (Factored)	2020-04-22	M Miller	F370BA2839A09323	3	168781	5	3
Verified	2020-07-14	M Miller	F370BA2839A09323	4	2019	5	3
Verified	2020-08-12	_p95holder_	F370BA2839A09323	4	133572	5	3
Verified	2023-08-24	USAFSS	F370BA2839A09323	4	12920	5	3

History

Date	User	Type	Result
2023-08-24	Kish	CERT	PRP Certification Proof certified good
2023-08-24	USAFSS	C-PRP	M186601/1119607/6254699818313/128352784307889637292588777/6335814304984386400062255874736137 : F370BA2839A09323 PRP proof power = 5 PRP: Verified Proof certified good
2020-08-12	_p95holder_	C-PRP	M186601/1119607/6254699818313/128352784307889637292588777/6335814304984386400062255874736137 : F370BA2839A09323 PRP: Verified PRP without proof (small exponent)
2020-07-14	M Miller	C-PRP	M186601/1119607/6254699818313/6335814304984386400062255874736137/128352784307889637292588777 : F370BA2839A09323 PRP: Verified PRP without proof (small exponent)
2020-07-14	nordi	F-ECM	Factor: 128352784307889637292588777 / (ECM curve 130, B1=250000, B2=25000000, Sigma=8186743190362982)
2020-04-22	M Miller	C-PRP	M186601/1119607/6254699818313/6335814304984386400062255874736137 : F370BA2839A09323 PRP: Verified PRP without proof (small exponent)
2020-04-22	_p95holder_	F-ECM	Factor: 6335814304984386400062255874736137 / (ECM curve 3, B1=250000, B2=25000000)
2020-04-17	Oliver Kruse	C-PRP	M186601/1119607/6254699818313 : F370BA2839A09323 PRP: Verified PRP without proof (small exponent)
2017-11-06	kkmrkkblmbrbk	C-PRP	M186601/1119607/6254699818313 : 414A8907A183513A PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M186601/1119607/6254699818313 : 414A8907A183513A PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M186601/1119607/6254699818313 : 414A8907A183513A PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M186601/1119607/6254699818313 : 414A8907A183513A PRP without proof (not generated)
2017-06-04	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2008-07-27	J Feitsma	F	Factor: 6254699818313