2 293 427 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
365696568416062745874603376276657	33	108.2	2023-08-24 19:42:14

ECM

Digits	B1	Curves
25	50000	249 / 280

Estimated T-Level: 24.4 ⓘ

TF below 2^76 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1997-12-21	Bruce Loving	512C33C0E9B67768	0
Verified (Factored)	1999-05-23	Jan Braconnier	512C33C0E9B67768	1284792
Verified (Factored)	2018-04-29	kkmrkkblmbrbk	512C33C0E9B67768	952004

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-08-24	Naegi Makoto	AC818B827D7A878B	1	47454	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-24	365696568416062745874603376276657	9600000	49498834770

History

Date	User	Type	Result
2023-08-24	Simon Josefsson	CERT	PRP Certification Proof certified good
2023-08-24	Naegi Makoto	C-PRP	M2293427/365696568416062745874603376276657 : AC818B827D7A878B PRP proof power = 7 PRP: Verified Proof certified good
2023-08-24	Sid & Andy	F-PM1	Factor: 365696568416062745874603376276657 / (P-1, B1=9600000, B2=49498834770)
2023-07-12	Joss	NF-PM1	B1=1000000, B2=4066584060
2023-03-13	Joss	NF-PM1	B1=1000000, B2=1647746100
2023-01-01	Joss	NF-PM1	B1=1000000, B2=571651080
2021-06-17	TJAOI	NF	no factor from 2^68 to 2^69
2019-07-15	BigBrother	NF-PM1	B1=3000000, B2=90000000, E=12
2019-05-13	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-29	kkmrkkblmbrbk	C-LL	512C33C0E9B67768
2017-05-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-01-05	Joss	NF-PM1	B1=359620, B2=3596200, E=6
2015-11-03	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-12	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-12	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-03	Joss	NF-PM1	B1=140972
2014-06-11	Joss	NF-PM1	B1=112986
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-05-12	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-17	Oscar Östlin	NF-PM1	B1=85000, B2=1742500, E=6
2010-12-02	Oscar Östlin	NF-PM1	B1=75011
2010-11-15	Joss	NF-PM1	B1=20000
2010-11-07	Joss	NF-PM1	B1=15000
2009-01-14	Sturle Sunde	NF	no factor from 2^60 to 2^61

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