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Difference between revisions of "PrimeGrid Generalized Cullen Prime Search"

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==Purpose==
 
==Purpose==
The goal of this project is to find [[Generalized Cullen prime]]s for bases which have no known primes.
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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==
The bases currently being searched by the project: [[Gen. Cullen prime 13|13]], [[Gen. Cullen prime 29|29]], [[Gen. Cullen prime 47|47]], [[Gen. Cullen prime 49|49]], [[Gen. Cullen prime 55|55]], [[Gen. Cullen prime 69|69]], [[Gen. Cullen prime 73|73]], [[Gen. Cullen prime 101|101]], [[Gen. Cullen prime 109|109]], [[Gen. Cullen prime 121|121]]
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*[http://www.primegrid.com/stats_gcw_llr.php Current status]
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*[[:Multi Reservation:17|Multi Reservation 17]]: The current {{Vn}}<sub>max</sub> = {{Num|{{Multi Reservation:17-NMax}}}} as of {{Multi Reservation:17-Date}}.
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{{#dpl:
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|debug=1
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|namespace=
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|category=PrimeGrid Generalized Cullen Prime Search
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|include={Cullen prime}:CuBase,{Cullen prime}:CuBase
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|mode=userformat
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|format=<div style="column-count:5;-moz-column-count:5;-webkit-column-count:5"><ul type="disc">,<li>,</li>,</ul></div>
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|secseparators=[[Cullen prime ,|Base ,,]]
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|order=ascending
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|ordermethod=sortkey
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|resultsheader=<b>The bases currently being searched by the project</b>:
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}}
  
 
==Found primes==
 
==Found primes==
* 2019-09-02: [[Gen. Cullen prime 25|{{Kbn|+|2805222|25|2805222}}]]
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Each of these finds was the first known Generalized Cullen prime in that base, eliminating that base from the search.
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* 2021-08-28: [[Cullen prime 73|{{Kbn|+|2525532|73|2525532}}]]
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* 2019-09-02: [[Cullen prime 25|{{Kbn|+|2805222|25|2805222}}]]
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* 2018-03-11: [[Cullen prime 41|{{Kbn|+|1806676|41|1806676}}]]
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* 2018-01-18: [[Cullen prime 116|{{Kbn|+|1323365|116|1323365}}]]
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* 2017-08-21: [[Cullen prime 53|{{Kbn|+|1341174|53|1341174}}]]
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* 2016-10-08: [[Cullen prime 79|{{Kbn|+|682156|79|682156}}]]
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* 2012-01-29: [[Cullen prime 113|{{Kbn|+|427194|113|427194}}]]
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* 2010-05-25: [[Cullen prime 68|{{Kbn|+|129897|68|129897}}]]
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==See also==
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*[[PrimeGrid]]
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*[[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]
  
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{{Navbox PrimeGrid}}
 
[[Category:PrimeGrid Generalized Cullen Prime Search| ]]
 
[[Category:PrimeGrid Generalized Cullen Prime Search| ]]

Latest revision as of 17:29, 7 May 2023

Purpose

The goal of this project is to find Generalized Cullen primes of the form nbn+1 for bases b which have no known primes.

Status

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.

See also

External links

PrimeGrid