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Difference between revisions of "Proth prime 3 4"
(new template) |
(add near Cullen primes) |
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| Line 2: | Line 2: | ||
|Pk=4 | |Pk=4 | ||
|Pb=3 | |Pb=3 | ||
| − | |PCount= | + | |PCount=33 |
|PNash=1703 | |PNash=1703 | ||
| − | |PMaxn= | + | |PMaxn=5000000 |
| − | |PDate= | + | |PDate=2024-09-10 |
| − | |PReserved= | + | |PReserved=Ryan Propper |
|PMultiRes= | |PMultiRes= | ||
|PNlist= | |PNlist= | ||
| − | 1 | + | 1;T:T |
| − | 2;C: | + | 2 |
| − | 3 | + | 3;T:T;C:{{NCu|+|3|3}} |
| − | 6 | + | 6 |
| − | 14;C: | + | 14;C:{{NCu|-|3|13}} |
| − | 15 | + | 15;T:T |
39 | 39 | ||
201 | 201 | ||
| Line 20: | Line 20: | ||
885 | 885 | ||
1005 | 1005 | ||
| − | 1254 | + | 1254 |
1635 | 1635 | ||
| − | 3306;38701 | + | 3306;38701 |
| − | 3522;38334 | + | 3522;38334 |
| − | 9602;26459 | + | 9602;26459 |
19785;18043 | 19785;18043 | ||
| − | 72698 | + | 72698 |
233583;76322 | 233583;76322 | ||
328689 | 328689 | ||
| − | 537918 | + | 537918 |
887535 | 887535 | ||
980925;126641 | 980925;126641 | ||
| − | 1154598;130160 | + | 1154598;130160 |
| − | 1499606;130259 | + | 1499606;130259 |
| − | 1936890;130883 | + | 1936890;130883 |
2016951;130887 | 2016951;130887 | ||
| − | 2143374;130886; | + | 2143374;130886 |
| − | |PRemarks=The {{OEIS|l|A005537}} | + | 4020126;138505 |
| + | 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= | |PSieve= | ||
}} | }} | ||
==History== | ==History== | ||
| + | {{HistF|2024-09-10|11279466|Ryan Propper|1054301}} | ||
| + | {{HistF|2024-09-10|9214845|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}} | ||
| + | {{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}} | ||
{{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|719460}} |
| − | {{HistF|2019-11-28|1154598|Matthias Baur}} | + | {{HistF|2019-11-28|1154598|Matthias Baur|719460}} |
| − | {{HistC|2019-07-28|1000000|Matthias Baur}} | + | {{HistC|2019-07-28|990000-1000000|Matthias Baur}} |
| − | {{HistF|2019-07-12|887535|Matthias Baur}} | + | {{HistC|2019-07-23|800000-990000|Matthias Baur}} |
| − | {{HistF|2019-07-10|980925|Matthias Baur}} | + | {{HistF|2019-07-12|887535|Matthias Baur|707379}} |
| − | {{HistC|2019-06-04|800000|Matthias Baur|518567}} | + | {{HistF|2019-07-10|980925|Matthias Baur|707379}} |
| − | {{HistC|2018-12-06|600000|Matthias Baur}} | + | {{HistC|2019-06-04|600000-800000|Matthias Baur|518567}} |
| + | {{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
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|
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
- 2024-09-10: Found n = 11279466, Ryan Propper
- 2024-09-10: Found n = 9214845, Ryan Propper
- 2024-09-09: Found n = 7578378, Ryan Propper
- 2024-09-09: Found n = 6402015, Ryan Propper
- 2024-09-09: Reserved by Ryan Propper for n = 5000000 - 15000000
- 2024-09-09: Checked n = 1000000 - 5000000, Ryan Propper, double-check n = 1000000 - 1500000
- 2024-09-09: Found n = 4020126, Ryan Propper
- 2024-09-06: Reserved by Ryan Propper for n = 1000000 - 5000000
- 2020-05-08: Found n = 2016951, Ryan Propper
- 2020-05-07: ?, Matthias Baur, released
- 2020-05-07: Found n = 2143374, Ryan Propper
- 2020-05-07: Found n = 1936890, Ryan Propper
- 2020-01-16: Checked n = 1200000 - 1500000, Matthias Baur
- 2020-01-16: Found n = 1499606, Matthias Baur
- 2019-12-07: Checked n = 1000000 - 1200000, Matthias Baur
- 2019-11-28: Found n = 1154598, Matthias Baur
- 2019-07-28: Checked n = 990000 - 1000000, Matthias Baur
- 2019-07-23: Checked n = 800000 - 990000, Matthias Baur
- 2019-07-12: Found n = 887535, Matthias Baur
- 2019-07-10: Found n = 980925, Matthias Baur
- 2019-06-04: Checked n = 600000 - 800000, Matthias Baur
- 2018-12-06: Checked n = 400000 - 600000, Matthias Baur
- 2018-12-06: Found n = 537918, Matthias Baur
- 2018-11-07: Checked n = 1 - 400000, Matthias Baur, double-check n = 1 - 200000
- 2018-11-07: Found n = 328689, Matthias Baur
- 2013-11-23: Checked n = 1 - 200000, Robert Price, double-check of unknown range
- 2013-11-23: Found n = 72698, Robert Price
- 2005-11-29: Found n = 233583, Boris Iskra
- 1996-12-01: Found n = 19785, Chris Caldwell
- 1996-12-01: Found n = 9602, Chris Caldwell
- 1996-03-15: Checked n = 1 - 2500?, Chris Caldwell
- 1992: Found n = 3522, Chris Caldwell
- 1992: Found n = 3306, Chris Caldwell
