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Difference between revisions of "PrimeGrid Generalized Cullen Prime Search"
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==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. | ||
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{{#dpl: | {{#dpl: | ||
|debug=1 | |debug=1 | ||
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==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. | ||
| + | * 2021-08-28: [[Cullen prime 73|{{Kbn|+|2525532|73|2525532}}]] | ||
* 2019-09-02: [[Cullen prime 25|{{Kbn|+|2805222|25|2805222}}]] | * 2019-09-02: [[Cullen prime 25|{{Kbn|+|2805222|25|2805222}}]] | ||
* 2018-03-11: [[Cullen prime 41|{{Kbn|+|1806676|41|1806676}}]] | * 2018-03-11: [[Cullen prime 41|{{Kbn|+|1806676|41|1806676}}]] | ||
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*[[PrimeGrid]] | *[[PrimeGrid]] | ||
*[[Cullen prime]] | *[[Cullen prime]] | ||
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==External links== | ==External links== | ||
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 |
