3 714 089 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
1642594328848167951337	22	70.5	2012-12-10 14:56:50
9819639216299423352441727	25	83.0	2022-05-25 14:14:14
18444923451817087158736746817671656711927	41	133.8	2022-10-03 11:09:36

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-03-09	R. Cliff Young	8F5E596F60130522	0
Verified (Factored)	1999-08-31	Ari Örn	8F5E596F60130522	2017123

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	BDFB51F7E00A38C9	1	0	1	3
Verified (Factored)	2017-12-01	Oliver Kruse	BDFB51F7E00A38C9	1	1726232	1	3
Verified (Factored)	2022-05-31	XZT	20175DE97E603993	2	998099	5	3
Verified	2022-10-05	LordJulius	20175DE97E603993	3	3678067	5	3

P-1 factors

Date	Factor	B1	B2
2012-12-10	1642594328848167951337	245000	0
2022-05-25	9819639216299423352441727	100000	130364850
2022-10-03	18444923451817087158736746817671656711927	1000000	1000000

History

Date	User	Type	Result
2022-10-05	arnaud	CERT	PRP Certification Proof certified good
2022-10-05	LordJulius	C-PRP	M3714089/1642594328848167951337/9819639216299423352441727/18444923451817087158736746817671656711927 : 20175DE97E603993 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-04	Joss	NF-PM1	B1=1000000, B2=130364850
2022-10-03	Joss	F-PM1	Factor: 18444923451817087158736746817671656711927 / (P-1, B1=1000000, B2=1000000)
2022-06-16	LordJulius	NF	no factor from 2^66 to 2^67
2022-06-16	LordJulius	NF	no factor from 2^65 to 2^66
2022-06-16	LordJulius	NF	no factor from 2^64 to 2^65
2022-06-16	LordJulius	NF	no factor from 2^63 to 2^64
2022-05-31	Kevin Jaget	CERT	PRP Certification Proof certified good
2022-05-31	XZT	C-PRP	M3714089/1642594328848167951337/9819639216299423352441727 : 20175DE97E603993 PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2022-05-25	Joss	F-PM1	Factor: 9819639216299423352441727 / (P-1, B1=100000, B2=130364850)
2022-03-22	Joss	NF-PM1	B1=100000
2022-03-05	Joss	NF-PM1	B1=90000
2022-01-22	Joss	NF	no factor from 2^67 to 2^68
2017-12-01	Oliver Kruse	C-PRP	M3714089/1642594328848167951337 : BDFB51F7E00A38C9 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M3714089/1642594328848167951337 : BDFB51F7E00A38C9 PRP: Verified (Factored) PRP without proof (not generated)
2012-12-10	Squeeky_Squirrel	F-PM1	Factor: 1642594328848167951337
2012-04-19	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-04-19	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-07-06	Carsten Kossendey	NF-PM1	B1=20000, B2=265000
2009-03-07	S485122	NF	no factor from 2^60 to 2^61

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