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Difference between revisions of "Proth prime 3 4"

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m (Karbon moved page Gen Proth prime 3 4 to Proth prime 3 4 without leaving a redirect: renamed)
(n=9214845 & n=11279466)
 
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{{Gen Proth prime
+
{{Proth prime
|GPk=4
+
|Pk=4
|GPCount=28
+
|Pb=3
|GPNash=1703
+
|PCount=33
|GPMaxn=1500000
+
|PNash=1703
|GPDate=2020-01-16
+
|PMaxn=5000000
|GPReserved=
+
|PDate=2024-09-10
|GPMultiRes=
+
|PReserved=Ryan Propper
|GPNlist=
+
|PMultiRes=
 +
|PNlist=
 
1
 
1
2;C:Generalized Fermat
+
2
 
3
 
3
6;C:Generalized Fermat
+
6
14;C:Generalized Fermat
+
14
 
15
 
15
 
39
 
39
Line 19: Line 20:
 
885
 
885
 
1005
 
1005
1254;C:Generalized Fermat
+
1254
 
1635
 
1635
3306;38701;C:Generalized Fermat
+
3306;38701
3522;38334;C:Generalized Fermat
+
3522;38334
9602;26459;C:Generalized Fermat
+
9602;26459
 
19785;18043
 
19785;18043
72698;C:Generalized Fermat
+
72698
 
233583;76322
 
233583;76322
 
328689
 
328689
537918;C:Generalized Fermat
+
537918
 
887535
 
887535
 
980925;126641
 
980925;126641
1154598;130160;C:Generalized Fermat
+
1154598;130160
1499606;130259;C:Generalized Fermat
+
1499606;130259
1936890;130883;C:Generalized Fermat
+
1936890;130883
 
2016951;130887
 
2016951;130887
2143374;130886;C:Generalized Fermat
+
2143374;130886
|GPRemarks=The {{OEIS|l|A005537}}
+
4020126;138505
|GPSieve=
+
6402015;138511
 +
7578378;138512
 +
9214845;138514
 +
11279466;138515
 +
|PRemarks=The {{OEIS|l|A005537}}<br>For all even {{Vn}}-values {{Kbn|+|4|3|n}} is a [[Generalized Fermat number]].<br>See also {{NWi|PP|3|n}}
 +
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
 +
{{HistF|2020-09-10|11279466|Ryan Propper}}
 +
{{HistF|2020-09-10|9214845|Ryan Propper}}
 +
{{HistF|2020-09-09|7578378|Ryan Propper}}
 +
{{HistF|2020-09-09|6402015|Ryan Propper}}
 +
{{HistC|2024-09-09|1000000-5000000|Ryan Propper|1053299}}, double-check {{Rn|1000000|1500000}}
 +
{{HistF|2020-09-09|4020126|Ryan Propper}}
 +
{{HistR|2024-09-06|Ryan Propper|1053251}} for {{Rn|1000000|5000000}}
 
{{HistF|2020-05-08|2016951|Ryan Propper}}
 
{{HistF|2020-05-08|2016951|Ryan Propper}}
 
{{HistC|2020-05-07|?|Matthias Baur|544848}}, released
 
{{HistC|2020-05-07|?|Matthias Baur|544848}}, released
 
{{HistF|2020-05-07|2143374|Ryan Propper}}
 
{{HistF|2020-05-07|2143374|Ryan Propper}}
 
{{HistF|2020-05-07|1936890|Ryan Propper}}
 
{{HistF|2020-05-07|1936890|Ryan Propper}}
{{HistC|2020-01-16|1500000|Matthias Baur}}
+
{{HistC|2020-01-16|1200000-1500000|Matthias Baur}}
 
{{HistF|2020-01-16|1499606|Matthias Baur}}
 
{{HistF|2020-01-16|1499606|Matthias Baur}}
{{HistC|2019-12-07|1200000|Matthias Baur}}
+
{{HistC|2019-12-07|1000000-1200000|Matthias Baur}}
 
{{HistF|2019-11-28|1154598|Matthias Baur}}
 
{{HistF|2019-11-28|1154598|Matthias Baur}}
{{HistC|2019-07-28|1000000|Matthias Baur}}
+
{{HistC|2019-07-28|990000-1000000|Matthias Baur}}
 +
{{HistC|2019-07-24|800000-990000|Matthias Baur}}
 
{{HistF|2019-07-12|887535|Matthias Baur}}
 
{{HistF|2019-07-12|887535|Matthias Baur}}
 
{{HistF|2019-07-10|980925|Matthias Baur}}
 
{{HistF|2019-07-10|980925|Matthias Baur}}
{{HistC|2019-06-04|800000|Matthias Baur|518567}}
+
{{HistC|2019-06-04|600000-800000|Matthias Baur|518567}}
 
{{HistC|2018-12-06|600000|Matthias Baur}}
 
{{HistC|2018-12-06|600000|Matthias Baur}}
 
{{HistF|2005-11-29|233583|Boris Iskra}}
 
{{HistF|2005-11-29|233583|Boris Iskra}}

Latest revision as of 07:00, 11 September 2024

Reserved! This sequence is currently reserved by: Ryan Propper

Current data

k , b : 4 , 3
Count : 33
Nash : 1703
Max n : 5,000,000
Date : 2024-09-10
Reserved : Ryan PropperRyan Propper/Reserved
1, 2, 3, 6, 14, 15, 39, 201, 249, 885, 1005, 1254, 1635, 3306, 3522, 9602, 19785, 72698, 233583, 328689, 537918, 887535, 980925, 1154598, 1499606, 1936890, 2016951, 2143374, 4020126, 6402015, 7578378, 9214845, 11279466
Remarks :
The sequence A005537 in OEIS
For all even n-values 4•3n+1 is a Generalized Fermat number.
See also Williams 4•3n+1

History