3 257 869 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
56779936202615288562010031	26	85.6	2023-06-05 07:39:57

ECM

Digits	B1	Curves
25	50000	100 / 280

Estimated T-Level: 21.8 ⓘ

TF below 2^67 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Rich Armstrong	54CFB387C4ED80C4	0
Verified (Factored)		Frode Fjeld	54CFB387C4ED80C4	0
Bad	1999-07-04	David Logan	61A342D553A20462	1220433
Verified (Factored)	1999-09-14	Ton van der Wouden	54CFB387C4ED80C4	2424802

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-06-05	Naegi Makoto	B3D17FE55F97950E	1	170913	5	3

P-1 factors

Date	Factor	B1	B2
2023-06-05	56779936202615288562010031	8600000	22046060400

History

Date	User	Type	Result
2023-06-05	Jon Pace	CERT	PRP Certification Proof certified good
2023-06-05	Naegi Makoto	C-PRP	M3257869/56779936202615288562010031 : B3D17FE55F97950E PRP proof power = 7 PRP: Verified Proof certified good
2023-06-05	Sid & Andy	F-PM1	Factor: 56779936202615288562010031 / (P-1, B1=8600000, B2=22046060400)
2023-05-29	Joss	NF-PM1	B1=1000000, B2=2236514280
2021-11-18	TJAOI	NF	no factor from 2^69 to 2^70
2021-02-07	ViliamF	NF	no factor from 2^68 to 2^69
2020-09-02	mikr	NF-PM1	B1=4000000, B2=150000000, E=12
2019-01-07	TJAOI	NF	no factor from 2^67 to 2^68
2017-03-29	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-01-18	Joss	NF-PM1	B1=415800, B2=4158000, E=6
2015-06-28	Tha	NF	no factor from 2^65 to 2^66
2015-02-18	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-18	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-07	Joss	NF-PM1	B1=99402
2014-06-11	Joss	NF-PM1	B1=79701
2012-12-30	dbaugh	NF	no factor from 2^62 to 2^63
2011-09-21	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-09-13	USAFSS	NF-PM1	B1=60000, B2=1050000, E=6
2009-07-05	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-04	S485122	NF	no factor from 2^60 to 2^61

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