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 "Proth prime 3 16"

From Prime-Wiki
Jump to: navigation, search
(hist)
(add twin)
 
(7 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Gen Proth prime
+
{{Proth prime
|GPk=16
+
|Pk=16
|GPCount=33
+
|Pb=3
|GPNash=2853
+
|PCount=34
|GPMaxn=100000
+
|PNash=2853
|GPDate=2020-03-09
+
|PMaxn=200000
|GPReserved=
+
|PDate=2024-09-16
|GPMultiRes=
+
|PReserved=
|GPNlist=
+
|PMultiRes=
3
+
|PNlist=
 +
3;T:T
 
4
 
4
 
5
 
5
Line 41: Line 42:
 
105293;69359
 
105293;69359
 
107448;69428
 
107448;69428
|GPRemarks=all [[Generalized Fermat prime]]s
+
193684
|GPSieve=
+
|PRemarks=For all even {{Vn}}-values {{Kbn|+|16|3|n}} is a [[Generalized Fermat number]].
 +
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
{{HistC|2020-03-09|100000|Paul Vanderveen}}
+
{{HistC|2024-09-16|100000-200000|Gary Barnes|1053838}}, released
 +
{{HistC|2021-03-09|1-100000|Paul Vanderveen}}
 
{{HistF|2004-03-08|107448|Peter Benson}}
 
{{HistF|2004-03-08|107448|Peter Benson}}
 
{{HistF|2004-03-05|105293|Peter Benson}}
 
{{HistF|2004-03-05|105293|Peter Benson}}

Latest revision as of 05:03, 23 September 2024

Current data

k , b : 16 , 3
Count : 34
Nash : 2853
Max n : 200,000
Date : 2024-09-16
3[1], 4, 5, 12, 24, 36, 77, 195, 296, 297, 533, 545, 644, 884, 932, 1409, 2061, 2453, 2985, 3381, 4980, 5393, 11733, 13631, 14516, 21004, 27663, 32645, 39453, 67055, 90543, 105293, 107448, 193684
Remarks :
For all even n-values 16•3n+1 is a Generalized Fermat number.

Notes

  1. Twin n=3

History