2 686 273 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
20055284580428612195117349881	29	94.0	2023-01-08 06:16:07

ECM

Digits	B1	Curves
25	50000	156 / 280

Estimated T-Level: 22.8 ⓘ

TF below 2^71 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Takahiro Shakushi	67A7F0ABE7AE0F76	0
Verified (Factored)		Mike Curtis	67A7F0ABE7AE0F76	0
Verified (Factored)	1999-04-23	Greg Hewgill	67A7F0ABE7AE0F76	978790

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-01-08	kurly	6E5CB534699CA4EA	1	2623298	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-08	20055284580428612195117349881	20000000	54443613840

History

Date	User	Type	Result
2023-01-08	PED	CERT	PRP Certification Proof certified good
2023-01-08	kurly	C-PRP	M2686273/20055284580428612195117349881 : 6E5CB534699CA4EA PRP proof power = 7 PRP: Verified Proof certified good
2023-01-08	kurly	F-PM1	Factor: 20055284580428612195117349881 / (P-1, B1=20000000, B2=54443613840)
2021-07-26	TJAOI	NF	no factor from 2^68 to 2^69
2019-07-03	BigBrother	NF-PM1	B1=3000000, B2=90000000, E=12
2019-04-29	TJAOI	NF	no factor from 2^67 to 2^68
2018-09-03	Joss	NF-PM1	B1=486562
2017-09-13	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-04-04	Joss	NF-PM1	B1=335469, B2=3354690, E=6
2017-01-10	Joss	NF-PM1	B1=232965
2016-12-19	Joss	NF-PM1	B1=194138
2016-06-17	Joss	NF-PM1	B1=161782, 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
2012-05-07	markr	NF	no factor from 2^61 to 2^62
2011-02-02	markr	NF-PM1	B1=105000, B2=2283750, E=6
2010-12-26	Joss	NF-PM1	B1=30000
2010-12-22	Joss	NF-PM1	B1=20000
2009-02-01	Sturle Sunde	NF	no factor from 2^60 to 2^61

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