2 578 111 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
488574259859693704020868553	27	88.7	2024-12-05 12:42:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	113 / 640

Estimated T-Level: 25.9 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Seth Chazanoff	55F081B44C5476E6	0
Verified (Factored)	1999-04-13	Kent Lee	55F081B44C5476E6	2555912
Verified (Factored)	2018-06-18	kkmrkkblmbrbk	55F081B44C5476E6	757282

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2024-12-05	fordobr	1111D82AF2EBC1C9	1	1724005	5	3

History

Date	User	Type	Result
2024-12-05	Oliver Kruse	CERT	PRP Certification Proof certified good
2024-12-05	fordobr	C-PRP	M2578111/488574259859693704020868553 : 1111D82AF2EBC1C9 PRP proof power = 7 PRP: Verified Proof certified good
2024-12-05	fordobr	F-ECM	Factor: 488574259859693704020868553 / (ECM curve 49, B1=173799, B2=459443985, Edwards Sigma=7418884106596841)
2024-03-08	TJAOI	NF	no factor from 2^69 to 2^70
2023-01-17	Architects Cubed	NF-PM1	B1=5000000, B2=8646469650
2021-05-27	TJAOI	NF	no factor from 2^68 to 2^69
2019-07-09	lycorn	NF	no factor from 2^67 to 2^68
2018-06-18	kkmrkkblmbrbk	C-LL	55F081B44C5476E6
2017-08-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-07-10	mikr	NF-PM1	B1=3200000, B2=112000000, E=12
2016-02-23	Mark Rose	NF	no factor from 2^59 to 2^60
2015-11-08	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
2013-01-14	dbaugh	NF	no factor from 2^62 to 2^63
2012-06-19	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-10-09	markr	NF-PM1	B1=175000, B2=4112500, E=6
2011-01-11	Joss	NF-PM1	B1=50000
2010-12-21	Joss	NF-PM1	B1=20000
2009-01-31	Sturle Sunde	NF	no factor from 2^60 to 2^61

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