3 545 051 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
828202579622065977471996263	27	89.4	2021-07-12 23:33:34

ECM

Digits	B1	Curves
25	50000	28 / 280

Estimated T-Level: 20.5 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-04-05	Paul Randal & Co	7E4C3CF84BB9A5A1	0
Verified (Factored)	2002-07-14	Todd Lewis	7E4C3CF84BB9A5A1	2576148

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-07-14	kutens	5A50E6B88C6561E8	1	1505108	5	3

History

Date	User	Type	Result
2022-05-13	Joss	NF-PM1	B1=500000, B2=130364850
2022-03-01	Joss	NF-PM1	B1=100000
2021-07-14	curtisc	CERT	PRP Certification Proof certified good
2021-07-14	kutens	C-PRP	M3545051/828202579622065977471996263 : 5A50E6B88C6561E8 PRP proof power = 7 PRP: Verified Proof certified good
2021-07-12	kutens	F-ECM	Factor: 828202579622065977471996263 / (ECM curve 5, B1=50000, B2=6800000, Sigma=4780522343420582)
2021-03-19	-Anonymous-	NF	no factor from 2^71 to 2^72
2021-03-18	-Anonymous-	NF	no factor from 2^70 to 2^71
2021-03-18	-Anonymous-	NF	no factor from 2^69 to 2^70
2021-01-23	axn	NF	no factor from 2^68 to 2^69
2018-10-08	TJAOI	NF	no factor from 2^67 to 2^68
2017-01-13	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-03-03	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-12-10	HBendtz	NF-PM1	B1=500000, B2=12000000, e=12
2015-01-27	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-27	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-11-17	Joss	NF-PM1	B1=96210
2014-08-07	Joss	NF-PM1	B1=78105
2012-06-20	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-30	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-06-27	markr	NF	no factor from 2^61 to 2^62
2009-07-06	Carsten Kossendey	NF-PM1	B1=20000, B2=245000
2009-03-16	S485122	NF	no factor from 2^60 to 2^61

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