2 725 027 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
136970159828487545808551911	27	86.8	2023-01-16 20:05:31

ECM

Digits	B1	Curves
25	50000	197 / 280

Estimated T-Level: 23.5 ⓘ

TF below 2^73 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Jim Howell	C61E247C74CDEA07	0
Verified (Factored)	1999-04-13	Jeff Edmonston	C61E247C74CDEA07	680224
Verified (Factored)	2018-08-07	kkmrkkblmbrbk	C61E247C74CDEA07	2672893

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-01-17	LordJulius	920A0D352B6B9762	1	196698	5	3

History

Date	User	Type	Result
2023-01-17	curtisc	CERT	PRP Certification Proof certified good
2023-01-17	LordJulius	C-PRP	M2725027/136970159828487545808551911 : 920A0D352B6B9762 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-16	George Woltman	F-ECM	Factor: 136970159828487545808551911 / (ECM curve 6, B1=250000, B2=180168450, Sigma=2643663307907490)
2022-12-26	Joss	NF-PM1	B1=1000000, B2=449428980
2021-08-12	TJAOI	NF	no factor from 2^68 to 2^69
2021-06-03	Numberwang	NF-PM1	B1=1000000, B2=30000000
2019-02-12	chuenkit	NF	no factor from 2^67 to 2^68
2018-08-21	Joss	NF-PM1	B1=600000, B2=6000000, E=6
2018-08-07	kkmrkkblmbrbk	C-LL	C61E247C74CDEA07
2017-10-05	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-02-01	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-13	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-13	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-04-19	Grant McCracken	NF	no factor from 2^61 to 2^62
2011-02-25	James Heinrich	NF-PM1	B1=300000, B2=8000000, E=12
2011-01-18	Joss	NF-PM1	B1=50000
2010-12-28	Joss	NF-PM1	B1=30000
2010-12-19	Joss	NF-PM1	B1=20000
2009-01-29	Sturle Sunde	NF	no factor from 2^60 to 2^61

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