3 664 681 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
20174312832666528291463309991	29	94.0	2022-10-12 08:06:07

ECM

Digits	B1	Curves
25	50000	54 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-07-21	Paul Victor Novarese	71B44E2271B651C7	0
Verified (Factored)	2000-05-17	Luke	71B44E2271B651C7	5340

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-10-13	Nesowa	17A3F430FA7D1814	1	2513439	5	3

History

Date	User	Type	Result
2022-10-13	curtisc	CERT	PRP Certification Proof certified good
2022-10-13	Nesowa	C-PRP	M3664681/20174312832666528291463309991 : 17A3F430FA7D1814 PRP proof power = 7 PRP: Verified Proof certified good
2022-10-12	Nesowa	F-ECM	Factor: 20174312832666528291463309991 / (ECM curve 4, B1=50000, B2=7000000, Sigma=8200165129667709)
2021-02-23	axn	NF	no factor from 2^69 to 2^70
2020-11-11	axn	NF	no factor from 2^68 to 2^69
2020-10-05	axn	NF-PM1	B1=30000000, B2=600000000, E=12
2018-12-10	TJAOI	NF	no factor from 2^67 to 2^68
2017-02-12	Joss	NF-PM1	B1=241228, B2=2412280, E=6
2017-01-29	Joss	NF-PM1	B1=167520
2016-12-30	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-12-30	Joss	NF-PM1	B1=129600
2016-12-24	Joss	NF-PM1	B1=108000
2016-10-02	Joss	NF-PM1	B1=90000, B2=3942000
2016-06-20	Joss	NF-PM1	B1=90000, B2=3285000, E=6
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-10-19	ramgeis	NF	no factor from 2^65 to 2^66
2015-01-23	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-23	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-06-05	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2012-02-05	Squeeky_Squirrel	NF-PM1	B1=90000, B2=1642500, E=6
2011-06-09	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-03-08	S485122	NF	no factor from 2^60 to 2^61

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