2 859 743 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
100303216255891223618728313	27	86.4	2023-04-16 21:21:52

ECM

Digits	B1	Curves
25	50000	138 / 280

Estimated T-Level: 22.5 ⓘ

TF below 2^70 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Jim Fare	9899DFE300E705A5	0
Verified (Factored)		Pete Evans	9899DFE300E705A5	0
Verified (Factored)	1999-06-15	Eric Whitney	9899DFE300E705A5	2670372

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-04-16	Naegi Makoto	8F2068A212C2786E	1	1329459	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-16	100303216255891223618728313	1000000	1406609820

History

Date	User	Type	Result
2023-04-17	curtisc	CERT	PRP Certification Proof certified good
2023-04-16	Naegi Makoto	C-PRP	M2859743/100303216255891223618728313 : 8F2068A212C2786E PRP proof power = 7 PRP: Verified Proof certified good
2023-04-16	Joss	F-PM1	Factor: 100303216255891223618728313 / (P-1, B1=1000000, B2=1406609820)
2021-06-21	TJAOI	NF	no factor from 2^68 to 2^69
2019-10-30	masser	NF-PM1	B1=2860000, B2=28600000, E=12
2019-10-29	BigBrother	NF-PM1	B1=3000000, B2=90000000, E=12
2019-01-07	chuenkit	NF	no factor from 2^67 to 2^68
2017-11-12	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-04-22	Joss	NF-PM1	B1=348124, B2=3481240, E=6
2016-12-23	Joss	NF-PM1	B1=208874
2016-07-29	Joss	NF-PM1	B1=174062, B2=4515000, E=6
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-02-18	Yxinity	NF	no factor from 2^65 to 2^66
2015-04-21	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-21	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-07	dbaugh	NF	no factor from 2^62 to 2^63
2012-02-02	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-01-30	markr	NF-PM1	B1=105000, B2=2257500, E=6
2011-01-27	Joss	NF-PM1	B1=50000
2011-01-03	Joss	NF-PM1	B1=30000
2010-12-22	Joss	NF-PM1	B1=20000
2009-07-03	Carsten Kossendey	NF-PM1	B1=15000, B2=157500
2009-02-13	Sturle Sunde	NF	no factor from 2^60 to 2^61

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