2 053 943 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

2053943

Factored

Factor	Digits	Bits	Date
25469460860210714375449	23	74.4	2024-04-02 09:51:39
98068436421377254692870953	26	86.3	2017-01-28 03:36:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	220 / 640

Estimated T-Level: 26.7 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		William Parros	95A20D5BB48F5001	0
Verified (Factored)	1999-07-26	Egmund Kiefer	95A20D5BB48F5001	1821162
Verified (Factored)	2016-07-15	Mark Rose	95A20D5BB48F5001	736719

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-06	Oliver Kruse	7469F6DB390542D0	1	0	1	3
Verified (Factored)	2017-11-19	kkmrkkblmbrbk	7469F6DB390542D0	1	715039	1	3
Verified	2024-04-02	Naegi Makoto	ED21FB54C7A21855	2	1142510	5	3

P-1 factors

Date	Factor	B1	B2
2017-01-28	98068436421377254692870953	2500000	0

History

Date	User	Type	Result
2024-04-02	Gump	CERT	PRP Certification Proof certified good
2024-04-02	Naegi Makoto	C-PRP	M2053943/25469460860210714375449/98068436421377254692870953 : ED21FB54C7A21855 PRP proof power = 7 PRP: Verified Proof certified good
2024-04-02	TJAOI	F-ECM	Factor: 25469460860210714375449 / (ECM curve 3, B1=250000, B2=643227585, Sigma=3198037850477353)
2023-01-27	USAFSS	NF-PM1	B1=288000, B2=287772030
2017-11-19	kkmrkkblmbrbk	C-PRP	M2053943/98068436421377254692870953 : 7469F6DB390542D0 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-06	Oliver Kruse	C-PRP	M2053943/98068436421377254692870953 : 7469F6DB390542D0 PRP: Verified (Factored) PRP without proof (not generated)
2017-01-28	mikr	F-PM1	Factor: 98068436421377254692870953 / (P-1, B1=2500000)
2016-11-05	Joss	NF-PM1	B1=324000
2016-09-22	Joss	NF-PM1	B1=270000, B2=5832000, E=6
2016-08-18	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-07-15	Mark Rose	C-LL	95A20D5BB48F5001
2016-05-15	Joss	NF-PM1	B1=270000, B2=4860000, E=6
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-11-03	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-21	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-21	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-26	Joss	NF-PM1	B1=166249
2013-09-01	ramgeis	NF	no factor from 2^62 to 2^63
2012-03-11	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-27	James Heinrich	NF-PM1	B1=135000, B2=2902500, E=6
2011-01-06	Joss	NF-PM1	B1=50000
2010-12-26	Joss	NF-PM1	B1=30000
2009-05-24	Rob_Dee	NF-PM1	B1=20000, B2=280000
2009-01-03	Sturle Sunde	NF	no factor from 2^60 to 2^61

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