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Difference between revisions of "Proth prime 3 4"

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(add history)
(add near Cullen primes)
 
(7 intermediate revisions by the same user not shown)
Line 2: Line 2:
 
|Pk=4
 
|Pk=4
 
|Pb=3
 
|Pb=3
|PCount=31
+
|PCount=33
 
|PNash=1703
 
|PNash=1703
 
|PMaxn=5000000
 
|PMaxn=5000000
|PDate=2024-09-09
+
|PDate=2024-09-10
 
|PReserved=Ryan Propper
 
|PReserved=Ryan Propper
 
|PMultiRes=
 
|PMultiRes=
 
|PNlist=
 
|PNlist=
1
+
1;T:T
 
2
 
2
3
+
3;T:T;C:{{NCu|+|3|3}}
 
6
 
6
14
+
14;C:{{NCu|-|3|13}}
15
+
15;T:T
 
39
 
39
 
201
 
201
Line 40: Line 40:
 
6402015;138511
 
6402015;138511
 
7578378;138512
 
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}}
 
|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|2020-09-09|7578378|Ryan Propper}}
+
{{HistF|2024-09-10|11279466|Ryan Propper|1054301}}
{{HistF|2020-09-09|6402015|Ryan Propper}}
+
{{HistF|2024-09-10|9214845|Ryan Propper}}
{{HistC|2024-09-09|1000000-5000000|Ryan Propper}}, double-check {{Rn|1000000|1500000}}
+
{{HistF|2024-09-09|7578378|Ryan Propper}}
{{HistF|2020-09-09|4020126|Ryan Propper}}
+
{{HistF|2024-09-09|6402015|Ryan Propper}}
 +
{{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}}
 +
{{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}}
Line 55: Line 60:
 
{{HistC|2020-01-16|1200000-1500000|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|1000000-1200000|Matthias Baur}}
+
{{HistC|2019-12-07|1000000-1200000|Matthias Baur|719460}}
{{HistF|2019-11-28|1154598|Matthias Baur}}
+
{{HistF|2019-11-28|1154598|Matthias Baur|719460}}
 
{{HistC|2019-07-28|990000-1000000|Matthias Baur}}
 
{{HistC|2019-07-28|990000-1000000|Matthias Baur}}
{{HistC|2019-07-24|800000-990000|Matthias Baur}}
+
{{HistC|2019-07-23|800000-990000|Matthias Baur}}
{{HistF|2019-07-12|887535|Matthias Baur}}
+
{{HistF|2019-07-12|887535|Matthias Baur|707379}}
{{HistF|2019-07-10|980925|Matthias Baur}}
+
{{HistF|2019-07-10|980925|Matthias Baur|707379}}
 
{{HistC|2019-06-04|600000-800000|Matthias Baur|518567}}
 
{{HistC|2019-06-04|600000-800000|Matthias Baur|518567}}
{{HistC|2018-12-06|600000|Matthias Baur}}
+
{{HistC|2018-12-06|400000-600000|Matthias Baur}}
 +
{{HistF|2018-12-06|537918|Matthias Baur}}
 +
{{HistC|2018-11-07|1-400000|Matthias Baur}}, double-check {{Rn|1|200000}}
 +
{{HistF|2018-11-07|328689|Matthias Baur}}
 +
{{HistC|2013-11-23|1-200000|Robert Price}}, double-check of unknown range
 +
{{HistF|2013-11-23|72698|Robert Price}}
 
{{HistF|2005-11-29|233583|Boris Iskra}}
 
{{HistF|2005-11-29|233583|Boris Iskra}}
 
{{HistF|1996-12-01|19785|Chris Caldwell}}
 
{{HistF|1996-12-01|19785|Chris Caldwell}}
 
{{HistF|1996-12-01|9602|Chris Caldwell}}
 
{{HistF|1996-12-01|9602|Chris Caldwell}}
 +
{{HistC|1996-03-15|1-2500?|Chris Caldwell}}
 
{{HistF|1992|3522|Chris Caldwell}}
 
{{HistF|1992|3522|Chris Caldwell}}
 
{{HistF|1992|3306|Chris Caldwell}}
 
{{HistF|1992|3306|Chris Caldwell}}

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

History