| Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
Navigation
| Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Difference between revisions of "PrimeGrid Generalized Cullen Prime Search"
m |
(improve calculation of test size) |
||
| (6 intermediate revisions by 3 users not shown) | |||
| Line 1: | Line 1: | ||
==Purpose== | ==Purpose== | ||
| − | The goal of this project is to find [[ | + | The goal of this project is to find [[Cullen prime|Generalized Cullen primes]] of the form {{Kbn|+|n|b|n}} for bases {{Vb}} which have no known primes. |
==Status== | ==Status== | ||
*[http://www.primegrid.com/stats_gcw_llr.php Current status] | *[http://www.primegrid.com/stats_gcw_llr.php Current status] | ||
| + | *[[:Multi Reservation:17|Multi Reservation 17]]: The current test size is {{Num|{{#expr: floor( {{Multi Reservation:17-NMax}} * ln( {{Multi Reservation:17-KMax}} ) / ln(10) ) }}}} digits as of {{Multi Reservation:17-Date}}. | ||
| + | *'''Important note:''' Tests are handed out by size instead of {{Vn}}-value. The above multi-reservation is set to the current {{Vn}}-value of the largest base of the project. A calculation must be made for each base so that its corresponding {{Vn}}-value is shown correctly. | ||
| + | |||
{{#dpl: | {{#dpl: | ||
|debug=1 | |debug=1 | ||
| Line 11: | Line 14: | ||
|mode=userformat | |mode=userformat | ||
|format=<div style="column-count:5;-moz-column-count:5;-webkit-column-count:5"><ul type="disc">,<li>,</li>,</ul></div> | |format=<div style="column-count:5;-moz-column-count:5;-webkit-column-count:5"><ul type="disc">,<li>,</li>,</ul></div> | ||
| − | |secseparators=[[ | + | |secseparators=[[Cullen prime ,|Base ,,]] |
|order=ascending | |order=ascending | ||
|ordermethod=sortkey | |ordermethod=sortkey | ||
| Line 19: | Line 22: | ||
==Found primes== | ==Found primes== | ||
Each of these finds was the first known Generalized Cullen prime in that base, eliminating that base from the search. | Each of these finds was the first known Generalized Cullen prime in that base, eliminating that base from the search. | ||
| − | * 2019-09-02: [[ | + | * 2021-08-28: [[Cullen prime 73|{{Kbn|+|2525532|73|2525532}}]] |
| − | * 2018-03-11: [[ | + | * 2019-09-02: [[Cullen prime 25|{{Kbn|+|2805222|25|2805222}}]] |
| − | * 2018-01-18: [[ | + | * 2018-03-11: [[Cullen prime 41|{{Kbn|+|1806676|41|1806676}}]] |
| − | * 2017-08-21: [[ | + | * 2018-01-18: [[Cullen prime 116|{{Kbn|+|1323365|116|1323365}}]] |
| − | * 2016-10-08: [[ | + | * 2017-08-21: [[Cullen prime 53|{{Kbn|+|1341174|53|1341174}}]] |
| − | * 2012-01-29: [[ | + | * 2016-10-08: [[Cullen prime 79|{{Kbn|+|682156|79|682156}}]] |
| − | * 2010-05-25: [[ | + | * 2012-01-29: [[Cullen prime 113|{{Kbn|+|427194|113|427194}}]] |
| + | * 2010-05-25: [[Cullen prime 68|{{Kbn|+|129897|68|129897}}]] | ||
==See also== | ==See also== | ||
*[[PrimeGrid]] | *[[PrimeGrid]] | ||
| − | *[[ | + | *[[Cullen prime]] |
==External links== | ==External links== | ||
*[https://www.primegrid.com/forum_thread.php?id=7073 Generalized Cullen/Woodall Prime Search introduction - PrimeGrid Forums] | *[https://www.primegrid.com/forum_thread.php?id=7073 Generalized Cullen/Woodall Prime Search introduction - PrimeGrid Forums] | ||
| + | {{Navbox PrimeGrid}} | ||
[[Category:PrimeGrid Generalized Cullen Prime Search| ]] | [[Category:PrimeGrid Generalized Cullen Prime Search| ]] | ||
Latest revision as of 04:38, 14 October 2024
Purpose
The goal of this project is to find Generalized Cullen primes of the form n•bn+1 for bases b which have no known primes.
Status
- Current status
- Multi Reservation 17: The current test size is 6,595,852 digits as of 2024-09-26.
- Important note: Tests are handed out by size instead of n-value. The above multi-reservation is set to the current n-value of the largest base of the project. A calculation must be made for each base so that its corresponding n-value is shown correctly.
The bases currently being searched by the project:
Found primes
Each of these finds was the first known Generalized Cullen prime in that base, eliminating that base from the search.
- 2021-08-28: 2525532•732525532+1
- 2019-09-02: 2805222•252805222+1
- 2018-03-11: 1806676•411806676+1
- 2018-01-18: 1323365•1161323365+1
- 2017-08-21: 1341174•531341174+1
- 2016-10-08: 682156•79682156+1
- 2012-01-29: 427194•113427194+1
- 2010-05-25: 129897•68129897+1
See also
External links
PrimeGrid
| Miscellaneous |
| Subprojects |
|
| Completed |
| Others |
