523 907 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
1302164904795238181134374249213256791422177	43	139.9	2023-09-06 01:11:12

ECM

Estimated T-Level: 30.6 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	79F	0
Verified (Factored)		Robert R. Fenichel	6DE98918150BC79F	0
Verified (Factored)		Matt Horbal	6DE98918150BC79F	0
Verified (Factored)	2015-04-11	MadPoo	6DE98918150BC79F	403511

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-09-06	linament	5492BC6EC9740AAB	1	451501	5	3

P-1 factors

Date	Factor	B1	B2
2023-09-06	1302164904795238181134374249213256791422177	70000000	3378026802150

History

Date	User	Type	Result
2023-09-16	masser	NF-PP1	Start=6/5, B1=10000000, B2=790000000
2023-09-12	masser	NF-PP1	Start=77/71, B1=10000000, B2=790000000
2023-09-06	John Airey	CERT	PRP Certification Proof certified good
2023-09-06	linament	C-PRP	M523907/1302164904795238181134374249213256791422177 : 5492BC6EC9740AAB PRP proof power = 6 PRP: Verified Proof certified good
2023-09-06	linament	F-PM1	Factor: 1302164904795238181134374249213256791422177 / (P-1, B1=70000000, B2=3378026802150)
2023-09-04	linament	NF-PM1	B1=70000000
2023-06-05	Joss	NF-PM1	B1=1048814, B2=55027422450
2023-01-16	Joss	NF-PM1	B1=1048814, B2=9303594300
2022-05-09	Gordon Spence	NF	no factor from 2^67 to 2^68
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-06-06	happy5214	NF-PP1	Start=2/7, B1=12500000, B2=962500000
2020-09-21	Gordon Spence	NF	no factor from 2^66 to 2^67
2018-05-23	chuenkit	NF	no factor from 2^65 to 2^66
2017-11-10	BloodERazor	NF	no factor from 2^64 to 2^65
2016-02-23	Mark Rose	NF	no factor from 2^60 to 2^61
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-09-08	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-09-08	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-09	NR	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	6DE98918150BC79F
2013-01-28	markr	NF-PM1	B1=25000000, B2=1000000000, E=12
2012-07-14	Joss	NF-PM1	B1=1047814
2011-05-27	Joss	NF-PM1	B1=1000000

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