2 143 829 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
31041046316567536197366559	26	84.7	2024-11-12 10:16:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	165 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Bj”rn Edstam	1485711B2D16BA2C	0
Verified (Factored)	1999-03-01	don ramos	1485711B2D16BA2C	100828
Verified (Factored)	2018-04-08	kkmrkkblmbrbk	1485711B2D16BA2C	338373

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2024-11-12	Naegi Makoto	7165E4ECFE369C85	1	1009801	5	3

History

Date	User	Type	Result
2024-11-13	Theo Polidano	CERT	PRP Certification Proof certified good
2024-11-12	Naegi Makoto	C-PRP	M2143829/31041046316567536197366559 : 7165E4ECFE369C85 PRP proof power = 7 PRP: Verified Proof certified good
2024-11-12	TJAOI	F-ECM	Factor: 31041046316567536197366559 / (ECM curve 14, B1=250000, B2=264647565, Edwards Sigma=5706750094727526)
2023-02-10	Architects Cubed	NF	no factor from 2^69 to 2^70
2022-12-22	Architects Cubed	NF-PM1	B1=5000000, B2=16690269750
2021-08-02	TJAOI	NF	no factor from 2^68 to 2^69
2019-04-15	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-08	kkmrkkblmbrbk	C-LL	1485711B2D16BA2C
2017-11-08	mikr	NF-PM1	B1=2500000, B2=125000000, E=12
2017-04-27	Joss	NF-PM1	B1=422236, B2=4222360, E=6
2017-04-22	Joss	NF-PM1	B1=351864, B2=3518640, E=6
2016-11-12	Joss	NF-PM1	B1=211118
2016-10-29	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-06-05	Joss	NF-PM1	B1=175932, B2=5265000, E=6
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-12-27	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-18	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-18	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-28	Joss	NF-PM1	B1=159939
2013-09-07	ramgeis	NF	no factor from 2^62 to 2^63
2011-01-21	James Heinrich	NF-PM1	B1=130000, B2=2632500, E=6
2011-01-13	Joss	NF-PM1	B1=50000
2010-12-30	Joss	NF-PM1	B1=30000
2010-11-03	Joss	NF-PM1	B1=20000
2009-01-08	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-05	Sturle Sunde	NF	no factor from 2^60 to 2^61

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