3 223 459 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
4105109598534287900441	22	71.8	2022-02-25 05:12:12

ECM

Digits	B1	Curves
25	50000	77 / 280

Estimated T-Level: 21.4 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Rich Harms	B031905365D821BC	0
Verified (Factored)	2000-05-24	David Campeau	B031905365D821BC	2426631

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-02-26	LordJulius	8F2DE085D6B0A8C1	1	2743785	5	3

History

Date	User	Type	Result
2022-09-11	Joss	NF-PM1	B1=1000000, B2=241175550
2022-03-12	Joss	NF-PM1	B1=1000000, B2=134343300
2022-02-26	curtisc	CERT	PRP Certification Proof certified good
2022-02-26	LordJulius	C-PRP	M3223459/4105109598534287900441 : 8F2DE085D6B0A8C1 PRP proof power = 7 PRP: Verified Proof certified good
2022-02-25	MarkS	F-ECM	Factor: 4105109598534287900441 / (ECM curve 5, B1=50000, B2=5000000, Sigma=6798707974304438)
2021-02-01	ViliamF	NF	no factor from 2^68 to 2^69
2020-03-19	mikr	NF-PM1	B1=4000000, B2=150000000, E=12
2020-01-24	BigBrother	NF-PM1	B1=3000000, B2=90000000, E=12
2018-12-17	TJAOI	NF	no factor from 2^67 to 2^68
2017-03-19	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-05-15	Joss	NF-PM1	B1=351113, B2=6320034, E=6
2015-12-16	Squeeky_Squirrel	NF-PM1	B1=155000, B2=3952500, E=6
2015-06-24	Tha	NF	no factor from 2^65 to 2^66
2015-02-15	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-15	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-29	Joss	NF-PM1	B1=99824
2014-06-09	Joss	NF-PM1	B1=79912
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-09-16	markr	NF	no factor from 2^61 to 2^62
2011-09-05	USAFSS	NF-PM1	B1=60000, B2=1035000, E=6
2011-01-12	Matteo2D	NF-PM1	B1=35000, B2=560000
2009-04-05	S485122	NF	no factor from 2^60 to 2^61

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