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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 [[ | + | 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== | ||
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|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 | ||
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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. | ||
− | * 2019-09-02: [[ | + | * 2019-09-02: [[Cullen prime 25|{{Kbn|+|2805222|25|2805222}}]] |
− | * 2018-03-11: [[ | + | * 2018-03-11: [[Cullen prime 41|{{Kbn|+|1806676|41|1806676}}]] |
− | * 2018-01-18: [[ | + | * 2018-01-18: [[Cullen prime 116|{{Kbn|+|1323365|116|1323365}}]] |
− | * 2017-08-21: [[ | + | * 2017-08-21: [[Cullen prime 53|{{Kbn|+|1341174|53|1341174}}]] |
− | * 2016-10-08: [[ | + | * 2016-10-08: [[Cullen prime 79|{{Kbn|+|682156|79|682156}}]] |
− | * 2012-01-29: [[ | + | * 2012-01-29: [[Cullen prime 113|{{Kbn|+|427194|113|427194}}]] |
− | * 2010-05-25: [[ | + | * 2010-05-25: [[Cullen prime 68|{{Kbn|+|129897|68|129897}}]] |
==See also== | ==See also== | ||
*[[PrimeGrid]] | *[[PrimeGrid]] | ||
− | *[[ | + | *[[Cullen prime]] |
*[[Multi Reservation:17|Multi Reservation]] | *[[Multi Reservation:17|Multi Reservation]] | ||
Revision as of 17:23, 31 August 2021
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
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.
- 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