3 578 723 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
263454661463035282432574023	27	87.8	2022-04-08 12:12:35

ECM

Digits	B1	Curves
25	50000	47 / 280

Estimated T-Level: 20.8 ⓘ

TF below 2^64 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-08-16	Stephen Scott	D4EDACE0AA18EB44	0
Verified (Factored)	1999-07-27	Jose Manuel Garcia	D4EDACE0AA18EB44	2554557

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-04-14	kutens	D8C667C07F44184B	1	275218	5	3

History

Date	User	Type	Result
2022-05-17	Joss	NF-PM1	B1=500000, B2=130364850
2022-04-17	Joshua Hallfrisch	CERT	PRP Certification Proof certified good
2022-04-14	kutens	C-PRP	M3578723/263454661463035282432574023 : D8C667C07F44184B PRP proof power = 7 PRP: Verified Proof certified good
2022-04-08	daveward2005	F-ECM	Factor: 263454661463035282432574023 / (ECM curve 4, B1=50000, B2=5000000, Sigma=1196501869129057)
2021-11-07	Aaron Haviland	NF-PM1	B1=800000, B2=35000000, e=12
2021-11-06	ArtyomP	NF-PP1	Start=6/5, B1=50000, B2=2500000
2021-11-06	ArtyomP	NF-PP1	Start=2/7, B1=50000, B2=2500000
2021-03-17	-Anonymous-	NF	no factor from 2^70 to 2^71
2021-03-17	-Anonymous-	NF	no factor from 2^69 to 2^70
2020-12-23	axn	NF	no factor from 2^68 to 2^69
2018-10-22	TJAOI	NF	no factor from 2^67 to 2^68
2017-04-18	Joss	NF-PM1	B1=340000, B2=3400000, E=6
2017-01-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-04-13	Joss	NF-PM1	B1=170000, B2=4331026, E=6
2016-02-26	ramgeis	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2015-01-30	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-30	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-07-02	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-12-25	Squeeky_Squirrel	NF-PM1	B1=85000, B2=1572500, E=6
2011-06-15	markr	NF	no factor from 2^61 to 2^62
2009-07-09	Carsten Kossendey	NF-PM1	B1=20000, B2=245000
2009-03-14	S485122	NF	no factor from 2^60 to 2^61

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