26 711 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
621751313066553887083597066693206407839	39	128.9	2016-09-01 11:57:01
221747794954778979517469344099495807442255087000351471	54	177.2	2023-04-11 17:05:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2641 / 9201

Estimated T-Level: 41.4 ⓘ

TF below 2^133 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	4950	0
Verified (Factored)		George Woltman	889BCA6078D3C950	0
Verified (Factored)		Brian J. Beesley	889BCA6078D3C950	0
Verified (Factored)	2015-04-11	MadPoo	889BCA6078D3C950	4654

PRP Cofactor

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	CA62C0F1263AEC9F	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	CA62C0F1263AEC9F	1	23421	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F9F1F083D8F3E4C4	1	17252	5	3
Verified	2023-04-11	nordi	F9F1F083D8F3E4C4	2	13780	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-11	221747794954778979517469344099495807442255087000351471	5000000000	1516930270635780

History

Date	User	Type	Result
2024-11-17	masser	NF-PP1	Start=2/7, B1=100000000, B2=99900000000
2024-11-15	masser	NF-PP1	Start=6/5, B1=100000000, B2=99900000000
2024-11-13	masser	NF-PP1	Start=191/67, B1=100000000, B2=99900000000
2023-04-11	nordi	C-PRP	M26711/621751313066553887083597066693206407839/221747794954778979517469344099495807442255087000351471 : F9F1F083D8F3E4C4 PRP: Verified PRP without proof (small exponent)
2023-04-11	nordi	F-PM1	Factor: 221747794954778979517469344099495807442255087000351471 / (P-1, B1=5000000000, B2=1516930270635780)
2023-02-07	nordi	NF-PM1	B1=5000000000
2020-04-17	Oliver Kruse	C-PRP	M26711/621751313066553887083597066693206407839 : F9F1F083D8F3E4C4 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M26711/621751313066553887083597066693206407839 : CA62C0F1263AEC9F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M26711/621751313066553887083597066693206407839 : CA62C0F1263AEC9F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M26711/621751313066553887083597066693206407839 : CA62C0F1263AEC9F PRP without proof (not generated)
2016-12-15	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2016-09-14	Sid & Andy	NF	no factor from 2^62 to 2^63
2016-09-01	Anton Repko	F-ECM	Factor: 621751313066553887083597066693206407839 / (ECM curve 100, B1=11000000, B2=30114149530)
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-04-11	MadPoo	C-LL	889BCA6078D3C950
2013-11-18	David Campeau	NF-PM1	B1=761580000
2013-11-15	David Campeau	NF-PM1	B1=609265000
2013-11-05	David Campeau	NF-PM1	B1=456950000, B2=10250490000, E=12
2013-11-03	David Campeau	NF-PM1	B1=456950000
2013-10-25	David Campeau	NF-PM1	B1=304635000
2012-04-02	bcp19	NF	no factor from 2^61 to 2^62
2012-04-02	bcp19	NF	no factor from 2^60 to 2^61
2009-01-31	Sturle Sunde	NF	no factor from 2^59 to 2^60
2009-01-18	Sturle Sunde	NF	no factor from 2^58 to 2^59

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