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Difference between revisions of "Proth prime 3 16"

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m (Karbon moved page Gen Proth prime 3 16 to Proth prime 3 16 without leaving a redirect: renamed)
(check to n=200K)
(4 intermediate revisions by 2 users not shown)
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{{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=
 +
|PNlist=
 
3
 
3
4;C:Generalized Fermat
+
4
 
5
 
5
12;C:Generalized Fermat
+
12
24;C:Generalized Fermat
+
24
36;C:Generalized Fermat
+
36
 
77
 
77
 
195
 
195
296;C:Generalized Fermat
+
296
 
297
 
297
 
533
 
533
 
545
 
545
644;C:Generalized Fermat
+
644
884;C:Generalized Fermat
+
884
932;C:Generalized Fermat
+
932
 
1409
 
1409
 
2061
 
2061
Line 28: Line 29:
 
2985
 
2985
 
3381
 
3381
4980;C:Generalized Fermat
+
4980
 
5393
 
5393
 
11733
 
11733
 
13631
 
13631
14516;C:Generalized Fermat
+
14516
21004;C:Generalized Fermat
+
21004
 
27663
 
27663
 
32645
 
32645
Line 40: Line 41:
 
90543
 
90543
 
105293;69359
 
105293;69359
107448;69428;C:Generalized Fermat
+
107448;69428
|GPRemarks=
+
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}}

Revision as of 00:12, 17 September 2024

Current data

k , b : 16 , 3
Count : 34
Nash : 2853
Max n : 200,000
Date : 2024-09-16
3, 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.

History