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Difference between revisions of "Proth prime 3 4"

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(add twins)
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|Pk=4
 
|Pk=4
 
|Pb=3
 
|Pb=3
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|PCount=32
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|PCount=33
 
|PNash=1703
 
|PNash=1703
 
|PMaxn=5000000
 
|PMaxn=5000000
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1;T:T
 
1;T:T
 
2
 
2
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3;T:T
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3;T:T;C:{{NCu|+|3|3}}
 
6
 
6
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14
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14;C:{{NCu|-|3|13}}
 
15;T:T
 
15;T:T
 
39
 
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7578378;138512
 
7578378;138512
 
9214845;138514
 
9214845;138514
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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}}
 
|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=
 
|PSieve=
 
}}
 
}}
 
==History==
 
==History==
−
{{HistF|2020-09-10|9214845|Ryan Propper}}
+
{{HistF|2024-09-10|11279466|Ryan Propper|1054301}}
−
{{HistF|2020-09-09|7578378|Ryan Propper}}
+
{{HistF|2024-09-10|9214845|Ryan Propper}}
−
{{HistF|2020-09-09|6402015|Ryan Propper}}
+
{{HistF|2024-09-09|7578378|Ryan Propper}}
 +
{{HistF|2024-09-09|6402015|Ryan Propper}}
 
{{HistR|2024-09-09|Ryan Propper|1053299}} for {{Rn|5000000|15000000}}
 
{{HistR|2024-09-09|Ryan Propper|1053299}} for {{Rn|5000000|15000000}}
 
{{HistC|2024-09-09|1000000-5000000|Ryan Propper|1053299}}, double-check {{Rn|1000000|1500000}}
 
{{HistC|2024-09-09|1000000-5000000|Ryan Propper|1053299}}, double-check {{Rn|1000000|1500000}}
−
{{HistF|2020-09-09|4020126|Ryan Propper}}
+
{{HistF|2024-09-09|4020126|Ryan Propper}}
 
{{HistR|2024-09-06|Ryan Propper|1053251}} for {{Rn|1000000|5000000}}
 
{{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}}

Latest revision as of 20:56, 27 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[1], 2, 3[2], 6, 14[3], 15[4], 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

Notes

  1. ↑ Twin n=1
  2. ↑ Twin n=3, Near Cullen 4•33+1
  3. ↑ Near Cullen 12•313+1
  4. ↑ Twin n=15

History

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