Difference between revisions of "Williams prime MM 5"

Revision as of 09:38, 4 April 2019

Williams primes (b-1)•bⁿ-1 with b = 5 (primes of the form 4•5ⁿ-1, n ≥ 1).

1, 3, 9, 13, 15, 25, 39, 69, 165, 171, 209, 339, 2033, 6583, 15393, 282989, 498483, 504221, 754611, 864751

n = 1000000 (2019-04-04)

Date	Remark
2019-04-04	Checked to n = 1000000, Karsten Bonath
2019-02-23	found n = 864751, Karsten Bonath
2019-01-27	found n = 754611, Karsten Bonath
2018-12-24	found n = 504221, Karsten Bonath
2018-12-23	found n = 498483, Karsten Bonath
2018-12-06	Checked to n = 1 - 321000, found n = 282989, Karsten Bonath
2007-20-12	Checked to n = 200000, Geoff Reynolds
2007-07-13	Checked to n = 110000, Geoff Reynolds
2006-08	Found n = 15393, antiroach
1981	Checked to n = 500, found n = 1 ... 339, H. C. Williams

@@ Line 1: / Line 1: @@
-{{Reserved|User:Karbon}}
 ==Definition==
-[[Williams prime]] ''(b-1)&times; b<sup>n</sup>-1'' with ''b'' = 5 ([[prime]]s of the form 4 &times; 5<sup>n</sup>-1, ''n'' ≥ 1).
+[[Williams prime]]s {{Kbn|(b-1)|b|n}} with ''b'' = 5 ([[prime]]s of the form {{Kbn|4|5|n}}, ''n'' ≥ 1).
 ==Prime for ''n''==
@@ Line 8: / Line 6: @@
 ==Search range==
-''n'' = 905000 (2019-03-07)
+''n'' = 1000000 (2019-04-04)
 ==History==
 {|class="wikitable"
 !Date!!Remark
+|-
+|2019-04-04||Checked to ''n'' = 1000000, [[User:Karbon|Karsten Bonath]]
 |-
 |2019-02-23||found ''n'' = 864751, [[User:Karbon|Karsten Bonath]]