2 250 623 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
109985447545206032008022668223473999	36	116.4	2025-07-20 09:51:21

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	172 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		IES R.Dieste-I.Larrosa	2B78342E3A45EC6C	0
Verified (Factored)	1999-05-02	Jacques Tempere	2B78342E3A45EC6C	1946088
Verified (Factored)	2018-04-23	kkmrkkblmbrbk	2B78342E3A45EC6C	679754

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2025-08-02	Adel El-Atawy	EC94AD531AF9364B	1	1025934	5	3

History

Date	User	Type	Result
2025-08-02	Section 31	CERT	PRP Certification Proof certified good
2025-08-02	Adel El-Atawy	C-PRP	M2250623/109985447545206032008022668223473999 : EC94AD531AF9364B PRP proof power = 7 PRP: Verified Proof certified good
2025-07-20	TJAOI	F-ECM	Factor: 109985447545206032008022668223473999 / (ECM curve 28, B1=250000, B2=643227585, Edwards Sigma=8559971516815745)
2024-03-29	TJAOI	NF	no factor from 2^69 to 2^70
2023-08-16	Sid & Andy	NF-PM1	B1=9800000, B2=50382735480
2023-05-29	Joss	NF-PM1	B1=1000000, B2=6536449920
2021-06-24	TJAOI	NF	no factor from 2^68 to 2^69
2021-06-20	Dylan Delgado	NF-PM1	B1=4420000, B2=579020000
2020-11-04	GdS	NF-PM1	B1=3677255, B2=128703915, E=12
2019-05-20	TJAOI	NF	no factor from 2^67 to 2^68
2018-04-23	kkmrkkblmbrbk	C-LL	2B78342E3A45EC6C
2018-01-02	Joss	NF-PM1	B1=2250623, B2=6842880, E=6
2017-01-05	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^1 to 2^60
2016-02-19	Joss	NF-PM1	B1=342144, B2=3421440, E=6
2015-10-27	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-10	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-10	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-02	Joss	NF-PM1	B1=128518
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-05-04	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-06	markr	NF-PM1	B1=100000, B2=2075000, E=6
2010-11-11	Joss	NF-PM1	B1=30000
2010-11-06	Joss	NF-PM1	B1=15000
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61

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