3 364 913 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
20189479	8	24.3	old
1662267023	10	30.6	2008-09-07 19:48:41
35129691721	11	35.0	2008-09-07 19:48:41
3289996576969	13	41.6	2008-09-30 14:47:30
1795298403292789508119007	25	80.6	2021-09-07 10:42:28

ECM

Digits	B1	Curves
25	50000	3 / 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	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-05	kkmrkkblmbrbk	ED5F2818C8C48D95	4	1278723	5	3
Verified (Factored)	2017-11-20	Oliver Kruse	ED5F2818C8C48D95	4	2072999	5	3
Verified	2021-09-13	mrh	ED5F2818C8C48D95	5	646895	5	3

P-1 factors

Date	Factor	B1	B2
2021-09-07	1795298403292789508119007	3364913	37014043

History

Date	User	Type	Result
2022-06-27	Joss	NF-PM1	B1=16824565, B2=8431038000
2022-03-20	Joss	NF-PM1	B1=4200000, B2=1006970580
2021-12-21	Joss	NF-PM1	B1=4200000, B2=111965700
2021-11-23	Joss	NF	no factor from 2^70 to 2^71
2021-09-13	Borek	CERT	PRP Certification Proof certified good
2021-09-13	mrh	C-PRP	M3364913/20189479/1662267023/35129691721/3289996576969/1795298403292789508119007 : ED5F2818C8C48D95 PRP proof power = 7 PRP: Verified Proof certified good
2021-09-08	Joss	NF-PM1	B1=3364913, B2=168245650, E=12
2021-09-07	Joss	NF	no factor from 2^69 to 2^70
2021-09-07	Joss	NF-PM1	B1=3364913, B2=70663173, E=12
2021-09-07	Joss	F-PM1	Factor: 1795298403292789508119007 / (P-1, B1=3364913, B2=37014043, E=12)
2021-09-06	Joss	NF-PM1	B1=3364913
2021-08-27	Joss	NF	no factor from 2^68 to 2^69
2021-02-01	Joss	NF	no factor from 2^67 to 2^68
2021-01-31	Joss	NF	no factor from 2^66 to 2^67
2021-01-30	Joss	NF	no factor from 2^65 to 2^66
2020-07-05	Joss	NF-PM1	B1=336491, B2=6729826, E=6
2017-11-20	Oliver Kruse	C-PRP	M3364913/20189479/1662267023/35129691721/3289996576969 : ED5F2818C8C48D95 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-05	kkmrkkblmbrbk	C-PRP	M3364913/20189479/1662267023/35129691721/3289996576969 : ED5F2818C8C48D95 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 3289996576969
2008-09-07	Will Edgington	F	Factor: 35129691721
2008-09-07	Will Edgington	F	Factor: 1662267023

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