3 161 057 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
624727958403073813623456169	27	89.0	2023-04-19 03:37:13

ECM

Digits	B1	Curves
25	50000	106 / 280

Estimated T-Level: 21.9 ⓘ

TF below 2^68 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Mike Mulligan	560ADE7F78BD890C	0
Verified (Factored)	1999-06-26	Gerhard H Wrodnigg	560ADE7F78BD890C	3103392

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-04-19	Naegi Makoto	CC9D91D22594249E	1	891229	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-19	624727958403073813623456169	10300000	19793660250

History

Date	User	Type	Result
2023-04-19	kkmrkkblmbrbk	CERT	PRP Certification Proof certified good
2023-04-19	Naegi Makoto	C-PRP	M3161057/624727958403073813623456169 : CC9D91D22594249E PRP proof power = 7 PRP: Verified Proof certified good
2023-04-19	Sid & Andy	F-PM1	Factor: 624727958403073813623456169 / (P-1, B1=10300000, B2=19793660250)
2023-01-27	TJAOI	NF	no factor from 2^69 to 2^70
2022-10-30	Joss	NF-PM1	B1=1000000, B2=265074810
2022-09-13	Joss	NF-PM1	B1=1000000, B2=118249950
2021-07-22	TJAOI	NF	no factor from 2^68 to 2^69
2019-07-04	mikr	NF-PM1	B1=3000000, B2=100000000, E=12
2019-01-21	TJAOI	NF	no factor from 2^67 to 2^68
2017-04-22	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-11-26	HBendtz	NF-PM1	B1=500000, B2=12000000, e=12
2015-11-02	Joss	NF-PM1	B1=552439
2015-08-09	Joss	NF-PM1	B1=434153
2015-06-17	Tha	NF	no factor from 2^65 to 2^66
2015-02-11	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-11	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-25	Joss	NF-PM1	B1=100610
2014-05-26	Joss	NF-PM1	B1=80305
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-10-30	markr	NF	no factor from 2^61 to 2^62
2011-09-08	Squeeky_Squirrel	NF-PM1	B1=60000, B2=960000, E=6
2009-07-03	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-11	S485122	NF	no factor from 2^60 to 2^61

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