2 208 319 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
457012532285917161525418753	27	88.6	2025-03-17 03:29:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	154 / 640

Estimated T-Level: 26.2 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Robert Eals	15468EABF3CEBA59	0
Verified (Factored)		Matthew Albright	15468EABF3CEBA59	0
Verified (Factored)	1999-11-24	David Campeau	15468EABF3CEBA59	1497290

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2025-03-17	mikr	0F5A4B442D97F993	1	628957	5	3

History

Date	User	Type	Result
2025-03-17	Kiselev Vadim	CERT	PRP Certification Proof certified good
2025-03-17	mikr	C-PRP	M2208319/457012532285917161525418753 : 0F5A4B442D97F993 PRP proof power = 7 PRP: Verified Proof certified good
2025-03-17	mikr	F-ECM	Factor: 457012532285917161525418753 / (ECM curve 6, B1=100000, B2=147138915, Edwards Sigma=4836847196202750)
2023-08-11	Sid & Andy	NF-PM1	B1=10000000, B2=42594601140
2023-06-04	Joss	NF-PM1	B1=1000000, B2=4524839550
2023-02-20	Joss	NF-PM1	B1=1000000, B2=900310950
2022-12-21	Architects Cubed	NF	no factor from 2^69 to 2^70
2021-06-24	TJAOI	NF	no factor from 2^68 to 2^69
2019-12-23	mikr	NF-PM1	B1=5000000, B2=200000000, E=12
2019-05-06	TJAOI	NF	no factor from 2^67 to 2^68
2016-12-12	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
2015-12-09	Alexander Dubrovin	NF-PM1	B1=2000000, B2=65000000, E=12
2015-12-08	Alexander Dubrovin	NF-PM1	B1=2000000, B2=15000000, E=12
2015-11-11	Alexander Dubrovin	NF-PM1	B1=1000000, B2=2500000, E=6
2015-10-21	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-06	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-06	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-17	Joss	NF-PM1	B1=148130
2014-06-24	Joss	NF-PM1	B1=119065
2013-12-04	LaurV	NF	no factor from 2^62 to 2^63
2011-01-09	markr	NF-PM1	B1=90000, B2=1642500, E=6
2011-01-01	Joss	NF-PM1	B1=30000
2010-11-14	Joss	NF-PM1	B1=20000
2010-11-05	Joss	NF-PM1	B1=15000
2009-01-07	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-02	Sturle Sunde	NF	no factor from 2^60 to 2^61

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