2 864 027 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
213332738667507424646977	24	77.5	2023-03-10 17:21:17

ECM

Digits	B1	Curves
25	50000	146 / 280

Estimated T-Level: 22.6 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1998-02-08	David A McGough	B971AB1495C6B592	0
Verified (Factored)	1998-06-14	Mark Gorbics	B971AB1495C6B592	0
Verified (Factored)	1999-07-26	Eric Whitney	B971AB1495C6B592	2135314

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-03-17	prime23	20102C5BA62E1622	1	1920679	5	3

History

Date	User	Type	Result
2023-03-17	ky0uraku	CERT	PRP Certification Proof certified good
2023-03-17	prime23	C-PRP	M2864027/213332738667507424646977 : 20102C5BA62E1622 PRP proof power = 7 PRP: Verified Proof certified good
2023-03-10	Sergey Nosov	F-ECM	Factor: 213332738667507424646977 / (ECM curve 15, B1=50000, B2=5000000)
2021-06-14	TJAOI	NF	no factor from 2^68 to 2^69
2020-03-10	masser	NF-PM1	B1=5000000, B2=200000000, E=12
2019-10-24	masser	NF-PM1	B1=2870000, B2=28700000, E=12
2019-01-08	chuenkit	NF	no factor from 2^67 to 2^68
2018-08-29	Joss	NF-PM1	B1=848008, B2=2544024, E=6
2018-08-27	Joss	NF-PM1	B1=848008, B2=1696016, E=6
2017-11-12	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-04-04	Joss	NF-PM1	B1=324721, B2=3247210, E=6
2017-01-10	Joss	NF-PM1	B1=225501
2016-12-19	Joss	NF-PM1	B1=187918
2016-08-25	Joss	NF-PM1	B1=156599, B2=4830000, E=6
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2016-02-18	ramgeis	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
2011-02-09	markr	NF-PM1	B1=115000, B2=2415000, E=6
2011-01-21	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
2009-02-12	Sturle Sunde	NF	no factor from 2^60 to 2^61

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