3 309 563 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
84117295765961517015193	23	76.2	2023-05-23 03:39:55

ECM

Digits	B1	Curves
25	50000	132 / 280

Estimated T-Level: 22.4 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Didier Couderc	20F9B4B67CE1B948	0
Verified (Factored)	1999-10-29	Gord Palameta	20F9B4B67CE1B948	3092916

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-05-23	James Heinrich	1B23562F70D51953	1	416946	5	3

History

Date	User	Type	Result
2023-05-23	Kimon Berlin	CERT	PRP Certification Proof certified good
2023-05-23	James Heinrich	C-PRP	M3309563/84117295765961517015193 : 1B23562F70D51953 PRP proof power = 7 PRP: Verified Proof certified good
2023-05-23	James Heinrich	F-ECM	Factor: 84117295765961517015193 / (ECM curve 26, B1=50000, B2=38910690, Sigma=4519744364097046)
2023-05-05	Sid & Andy	NF-PM1	B1=6300000, B2=22713580890
2022-09-16	TJAOI	NF	no factor from 2^69 to 2^70
2021-07-22	TJAOI	NF	no factor from 2^68 to 2^69
2020-02-24	mikr	NF-PM1	B1=4000000, B2=150000000, E=12
2018-12-03	TJAOI	NF	no factor from 2^67 to 2^68
2018-08-13	Joss	NF-PM1	B1=410000, B2=3690000
2018-08-08	Joss	NF-PM1	B1=410000, B2=1640000
2018-08-07	Joss	NF-PM1	B1=410000, B2=1230000
2018-08-06	Joss	NF-PM1	B1=410000, B2=820000
2017-02-24	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-03-01	Yxinity	NF	no factor from 2^65 to 2^66
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-11-17	Squeeky_Squirrel	NF-PM1	B1=205000, B2=4612500, E=6
2012-08-25	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-10-01	USAFSS	NF-PM1	B1=55000, B2=880000, E=6
2011-09-04	markr	NF	no factor to 2^62
2009-03-31	S485122	NF	no factor from 2^60 to 2^61

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