2 449 163 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
23315814620082661469558002777	29	94.2	2023-09-01 16:11:07

ECM

Digits	B1	Curves
25	50000	194 / 280

Estimated T-Level: 23.5 ⓘ

TF below 2^73 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Joseph Pycior	71DFC55D0AB8733D	0
Verified (Factored)	1999-03-15	David Phillips	71DFC55D0AB8733D	504615
Verified (Factored)	2018-05-26	kkmrkkblmbrbk	71DFC55D0AB8733D	2323403

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-09-01	Naegi Makoto	0ADF55F2F0561238	1	1540988	5	3

P-1 factors

Date	Factor	B1	B2
2023-09-01	23315814620082661469558002777	8900000	45963188040

History

Date	User	Type	Result
2023-09-02	David Barley	CERT	PRP Certification Proof certified good
2023-09-01	Naegi Makoto	C-PRP	M2449163/23315814620082661469558002777 : 0ADF55F2F0561238 PRP proof power = 7 PRP: Verified Proof certified good
2023-09-01	Sid & Andy	F-PM1	Factor: 23315814620082661469558002777 / (P-1, B1=8900000, B2=45963188040)
2023-07-19	Joss	NF-PM1	B1=1000000, B2=7655074350
2023-07-19	Joss	NF-PM1	B1=1000000, B2=3645762120
2023-03-17	Joss	NF-PM1	B1=1000000, B2=1580899320
2022-12-09	Joss	NF-PM1	B1=1000000, B2=548467920
2021-06-10	TJAOI	NF	no factor from 2^68 to 2^69
2019-03-04	TJAOI	NF	no factor from 2^67 to 2^68
2018-05-26	kkmrkkblmbrbk	C-LL	71DFC55D0AB8733D
2017-07-12	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2015-10-25	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-27	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-27	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-01-30	mikr	NF-PM1	B1=1172000, B2=48000000, E=12
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-06-06	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-19	Oscar Östlin	NF-PM1	B1=95000, B2=1947500, E=6
2010-12-15	Joss	NF-PM1	B1=20000
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61

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