2 684 233 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
71319852705492206290217	23	75.9	2021-12-18 19:57:32

ECM

Digits	B1	Curves
25	50000	123 / 280

Estimated T-Level: 22.2 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Bad		Timo Aaltonen and friends	D0A83ADBF5569671	0
Verified (Factored)	1999-07-26	Leonid Papirov	BFD0A5A136B21111	783392
Verified (Factored)	1999-11-10	Petr Paryzek	BFD0A5A136B21111	288465
Verified (Factored)	2018-07-27	kkmrkkblmbrbk	BFD0A5A136B21111	2283558

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-12-19	Tucker Kao	EE851C88134ED1F4	1	317362	5	3

History

Date	User	Type	Result
2021-12-19	Chuck	CERT	PRP Certification Proof certified good
2021-12-19	Tucker Kao	C-PRP	M2684233/71319852705492206290217 : EE851C88134ED1F4 PRP proof power = 7 PRP: Verified Proof certified good
2021-12-18	MarkS	F-ECM	Factor: 71319852705492206290217 / (ECM curve 1, B1=50000, B2=5000000, Sigma=2857981690747372)
2021-07-26	TJAOI	NF	no factor from 2^68 to 2^69
2019-07-05	BigBrother	NF-PM1	B1=3000000, B2=90000000, E=12
2019-05-06	TJAOI	NF	no factor from 2^67 to 2^68
2018-09-03	Joss	NF-PM1	B1=486614
2018-07-27	kkmrkkblmbrbk	C-LL	BFD0A5A136B21111
2017-09-13	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-04-07	Joss	NF-PM1	B1=335512, B2=3355120, E=6
2017-01-10	Joss	NF-PM1	B1=232995
2016-12-19	Joss	NF-PM1	B1=194163
2016-06-15	Joss	NF-PM1	B1=161803, B2=4567500, E=6
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-01-26	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
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-05-11	markr	NF	no factor from 2^61 to 2^62
2010-12-04	markr	NF-PM1	B1=105000, B2=2283750, E=6
2010-11-20	Joss	NF-PM1	B1=20000
2009-01-31	Sturle Sunde	NF	no factor from 2^60 to 2^61

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