2 668 027 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
86584606507528185569346751	26	86.2	2022-06-04 22:08:15

ECM

Digits	B1	Curves
25	50000	137 / 280

Estimated T-Level: 22.4 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1998-03-03	John S. Popko	FB8D7F4DFA99BDB0	0
Verified (Factored)	1999-07-27	Kent Lee	FB8D7F4DFA99BDB0	1848353
Verified (Factored)	2018-07-23	kkmrkkblmbrbk	FB8D7F4DFA99BDB0	1084230

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-06-10	XZT	45E1639F75FF08A7	1	1981041	5	3

History

Date	User	Type	Result
2022-06-10	Miche	CERT	PRP Certification Proof certified good
2022-06-10	XZT	C-PRP	M2668027/86584606507528185569346751 : 45E1639F75FF08A7 PRP proof power = 7 PRP: Verified Proof certified good
2022-06-04	daveward2005	F-ECM	Factor: 86584606507528185569346751 / (ECM curve 1, B1=50000, B2=5000000, Sigma=4860511247084650)
2021-06-14	TJAOI	NF	no factor from 2^68 to 2^69
2019-11-24	masser	NF-PM1	B1=2000000, B2=50000000, E=12
2019-04-29	TJAOI	NF	no factor from 2^67 to 2^68
2018-09-04	Joss	NF-PM1	B1=630210, B2=2520840
2018-09-03	Joss	NF-PM1	B1=630210, B2=1890630
2018-08-30	Joss	NF-PM1	B1=630210, B2=1260420
2018-08-29	Joss	NF-PM1	B1=630210
2018-07-23	kkmrkkblmbrbk	C-LL	FB8D7F4DFA99BDB0
2017-09-08	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-03-07	Joss	NF-PM1	B1=315105, B2=3151050, E=6
2017-01-10	Joss	NF-PM1	B1=218824
2016-12-18	Joss	NF-PM1	B1=182354
2016-06-09	Joss	NF-PM1	B1=151962, B2=4567500, E=6
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2016-01-25	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-23	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-23	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-11-06	Joss	NF-PM1	B1=129057
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-05-21	Grant McCracken	NF	no factor from 2^61 to 2^62
2010-12-10	markr	NF-PM1	B1=105000, B2=2283750, E=6
2010-11-19	Joss	NF-PM1	B1=20000
2009-01-31	Sturle Sunde	NF	no factor from 2^60 to 2^61

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