Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "Williams prime MM 5"

From Prime-Wiki
Jump to: navigation, search
(cat.)
(res)
 
(20 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Reserved|User:Karbon}}
+
{{Williams prime
 
+
|WiBase=5
==Definition==
+
|WiMaxn=1000000
[[Prime number|Primes]] of the form <math>4 \cdot 5^n-1</math>.
+
|WiDate=2019-05-11
 
+
|WiReserved=Dylan Delgado
==Data==
+
|WiNlist=
Primes for ''n'':
+
1
:1, 3, 9, 13, 15, 25, 39, 69, 165, 171, 209, 339, 2033, 6583, 15393, 282989
+
3
 
+
9
==Search range==
+
13
321000 (2018-12-07)
+
15
 
+
25
 +
39
 +
69
 +
165
 +
171
 +
209
 +
339
 +
2033
 +
6583
 +
15393
 +
282989
 +
498483
 +
504221
 +
754611;125947
 +
864751;126245
 +
}}
 
==History==
 
==History==
{|class="wikitable"
+
{{HistR|2019-05-11|Dylan Delgado|516518}}
!Date!!Remark
+
{{HistC|2019-04-04|1000000|Karsten Bonath|512625}}
|-
+
{{HistF|2019-02-25|864751|Karsten Bonath|509418}}
|2018-12-07||Found ''n''=282989, [[User:Karbon|Karsten Bonath]]
+
{{HistF|2019-01-28|754611|Karsten Bonath|507005}}
|-
+
{{HistF|2019-01-17|498483 & 504221|Karsten Bonath|506202}}
|2007-20-12||Checked to ''n''=200000, Geoff Reynolds
+
{{HistC|2018-12-06|1 - 321000|Karsten Bonath|501959}}
|-
+
{{HistC|2007-12-20|200000|Geoffrey Reynolds}}
|2007-07-13||Checked to ''n''=110000, Geoff Reynolds
+
{{HistC|2007-07-13|110000|Geoffrey Reynolds}}
|-
+
{{HistC|2006-09-22|100000|Geoffrey Reynolds|87710}}
|2006-08||Found n=15393, antiroach
+
{{HistC|2006-07-19|50000|(antiroach)|83800}}
|-
+
{{HistF|2006-07-17|15393|(antiroach)|83718}}
|1981||Found ''n''=1 ... 339, checked to ''n''=500, [http://matwbn.icm.edu.pl/ksiazki/aa/aa39/aa3912.pdf H. C. Williams]
+
{{HistC|1981|500|Hugh C. Williams}}
|}
 
  
 
==External links==
 
==External links==
* [https://en.wikipedia.org/wiki/Williams_number Article at en.wikipedia]
+
*[https://www.mersenneforum.org/showthread.php?t=6131 Thread] at [[MersenneForum]]
* [https://www.mersenneforum.org/showthread.php?t=6131 Mersenneforum thread]
+
*The {{OEIS|l|A046865}}
* [https://oeis.org/A046865 The On-Line Encyclopedia of Integer Sequences OEIS: 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