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Difference between revisions of "Williams prime MM 5"

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m (Karbon moved page Williams primes base 5 to Williams prime base 5 without leaving a redirect: name)
(res)
 
(16 intermediate revisions by 2 users not shown)
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{{Reserved|User:Karbon}}
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{{Williams prime
 
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|WiBase=5
==Definition==
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|WiMaxn=1000000
[[Prime number|Primes]] of the form <math>4 \cdot {5^n{-}1}</math>, ''n'' ≥ 1.
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|WiDate=2019-05-11
 
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|WiReserved=Dylan Delgado
==Primes for ''n''==
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|WiNlist=
1, 3, 9, 13, 15, 25, 39, 69, 165, 171, 209, 339, 2033, 6583, 15393, 282989, 498483, 504221, {{PP|125947|754611}}
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1
 
+
3
==Search range==
+
9
765000 (2019-01-30)
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13
 
+
15
 +
25
 +
39
 +
69
 +
165
 +
171
 +
209
 +
339
 +
2033
 +
6583
 +
15393
 +
282989
 +
498483
 +
504221
 +
754611;125947
 +
864751;126245
 +
}}
 
==History==
 
==History==
{|class="wikitable"
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{{HistR|2019-05-11|Dylan Delgado|516518}}
!Date!!Remark
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{{HistC|2019-04-04|1000000|Karsten Bonath|512625}}
|-
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{{HistF|2019-02-25|864751|Karsten Bonath|509418}}
|2019-01-27||found ''n'' = 754611, [[User:Karbon|Karsten Bonath]]
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{{HistF|2019-01-28|754611|Karsten Bonath|507005}}
|-
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{{HistF|2019-01-17|498483 & 504221|Karsten Bonath|506202}}
|2018-12-24||found ''n'' = 504221, [[User:Karbon|Karsten Bonath]]
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{{HistC|2018-12-06|1 - 321000|Karsten Bonath|501959}}
|-
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{{HistC|2007-12-20|200000|Geoffrey Reynolds}}
|2018-12-23||found ''n'' = 498483, [[User:Karbon|Karsten Bonath]]
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{{HistC|2007-07-13|110000|Geoffrey Reynolds}}
|-
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{{HistC|2006-09-22|100000|Geoffrey Reynolds|87710}}
|2018-12-06||Checked to ''n'' = 1 - 321000, found ''n'' = 282989, [[User:Karbon|Karsten Bonath]]
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{{HistC|2006-07-19|50000|(antiroach)|83800}}
|-
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{{HistF|2006-07-17|15393|(antiroach)|83718}}
|2007-20-12||Checked to ''n'' = 200000, Geoff Reynolds
+
{{HistC|1981|500|Hugh C. Williams}}
|-
 
|2007-07-13||Checked to ''n'' = 110000, Geoff Reynolds
 
|-
 
|2006-08||Found ''n'' = 15393, antiroach
 
|-
 
|1981||Checked to ''n'' = 500, found ''n'' = 1 ... 339, [http://matwbn.icm.edu.pl/ksiazki/aa/aa39/aa3912.pdf H. C. Williams]
 
|}
 
 
 
==See also==
 
*[[Williams primes]]
 
  
 
==External links==
 
==External links==
*[[Wikipedia:Williams_number|Wikipedia]]
 
 
*[https://www.mersenneforum.org/showthread.php?t=6131 Thread] at [[MersenneForum]]
 
*[https://www.mersenneforum.org/showthread.php?t=6131 Thread] at [[MersenneForum]]
*[https://oeis.org/A046865 The On-Line Encyclopedia of Integer Sequences OEIS: A046865]
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*The {{OEIS|l|A046865}}
[[Category:Williams primes|#.....5]]
 
[[Category:(b-1)*b^n-1|#.....5]]
 

Latest revision as of 12:13, 22 May 2019

Reserved! This sequence is currently reserved by: Dylan Delgado

Current data

Base : 5
Count : 20
Max n : 1,000,000
Date : 2019-05-11
Reserved : Dylan DelgadoDylan Delgado/Reserved
1, 3, 9, 13, 15, 25, 39, 69, 165, 171, 209, 339, 2033, 6583, 15393, 282989, 498483, 504221, 754611, 864751

History

External links