3 622 739 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
6457709609648931494743	22	72.5	2022-11-29 00:21:20

ECM

Digits	B1	Curves
25	50000	60 / 280

Estimated T-Level: 21.1 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Charlie Dorian	F8DE8CC9EB2A6B2C	0
Verified (Factored)	2000-04-19	Todd Humphrey	F8DE8CC9EB2A6B2C	3558963

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-12-04	jeriffee	41458FA2E2990ACD	1	3276239	5	3

History

Date	User	Type	Result
2022-12-04	curtisc	CERT	PRP Certification Proof certified good
2022-12-04	jeriffee	C-PRP	M3622739/6457709609648931494743 : 41458FA2E2990ACD PRP proof power = 7 PRP: Verified Proof certified good
2022-11-29	daveward2005	F-ECM	Factor: 6457709609648931494743 / (ECM curve 2, B1=50000, B2=5000000, Sigma=1238808004345168)
2022-01-29	Gordon Spence	NF	no factor from 2^69 to 2^70
2020-10-21	axn	NF	no factor from 2^68 to 2^69
2020-08-10	axn	NF-PM1	B1=30000000, B2=1000000000, E=12
2020-06-24	axn	NF-PM1	B1=30000000, B2=600000000, E=12
2018-10-29	TJAOI	NF	no factor from 2^67 to 2^68
2017-05-13	Joss	NF-PM1	B1=350000, B2=3500000, E=6
2016-12-23	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-11-02	Squeeky_Squirrel	NF-PM1	B1=175000, B2=4768750, E=6
2015-10-18	ramgeis	NF	no factor from 2^65 to 2^66
2015-01-20	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-01-20	VictordeHollander	NF	no factor from 2^63 to 2^64
2012-06-05	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2012-01-16	Squeeky_Squirrel	NF-PM1	B1=90000, B2=1620000, E=6
2011-05-30	markr	NF	no factor to 2^62
2009-07-06	Carsten Kossendey	NF-PM1	B1=20000, B2=245000
2009-03-11	S485122	NF	no factor from 2^60 to 2^61

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