241 711 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
104082799705738969469553097	27	86.4	2016-01-23 06:41:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	357 / 1566

Estimated T-Level: 31.1 ⓘ

TF below 2^98 is very unlikely to find new factors due to ECM effort.

Status	User	Residue	Shift
Verified (Factored)	David Slowinski	6D42	0
Verified (Factored)	Unknown	6D42	0
Verified (Factored)	Ken Kiefer	730ECB162A32ED42	0
Verified (Factored)	Brian J. Beesley	730ECB162A32ED42	0
Verified (Factored)	Eivind Triel	730ECB162A32ED42	216956

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	73757CE957B17870	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	73757CE957B17870	1	185870	1	3
Verified	2020-04-17	Oliver Kruse	AB52EDADCC4EEB77	1	7476	5	3
Verified	2024-02-03	Wentao Huang	AB52EDADCC4EEB77	1	148771	5	3

History

Date	User	Type	Result
2024-02-03	slaur	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M241711/104082799705738969469553097 : AB52EDADCC4EEB77 PRP proof power = 5 PRP: Verified Proof certified good
2022-04-08	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-08-06	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M241711/104082799705738969469553097 : AB52EDADCC4EEB77 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M241711/104082799705738969469553097 : 73757CE957B17870 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M241711/104082799705738969469553097 : 73757CE957B17870 PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M241711/104082799705738969469553097 : 73757CE957B17870 PRP without proof (not generated)
2016-02-23	Mark Rose	NF	no factor from 2^57 to 2^58
2016-01-23	bam	F-ECM	Factor: 104082799705738969469553097 / (ECM curve 3, B1=250000, B2=25000000)
2016-01-13	Gordon Spence	NF	no factor from 2^63 to 2^64
2016-01-13	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-29	snme2pm1	NF	no factor from 2^61 to 2^62
2014-12-18	Denial140	NF-PM1	B1=10000000, B2=250000000, E=12
2013-10-12	David Campeau	NF-PM1	B1=2650000, B2=76850000, E=12
2013-07-15	lycorn	NF	no factor from 2^60 to 2^61
2012-02-26	Joss	NF-PM1	B1=2617929
2011-07-24	Joss	NF-PM1	B1=2094343
2011-02-03	Joss	NF-PM1	B1=2000000
2009-01-25	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-01	Sturle Sunde	NF	no factor from 2^58 to 2^59

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