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Difference between revisions of "Riesel number"

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A '''Riesel number''' is a value of ''k'' such that {{Kbn|k|n}} is always composite for all [[natural number]]s.
 
A '''Riesel number''' is a value of ''k'' such that {{Kbn|k|n}} is always composite for all [[natural number]]s.
  
Using the same method presented in the [[Sierpiński problem]] article, [[Hans Riesel]] found in 1956 that [[Riesel prime 509203|{{Kbn|509203|n}}]] is always composite.
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Using the same method presented in the [[Sierpiński problem]] article, [[Hans Riesel]] found in 1956 that [[Riesel prime 2 509203|{{Kbn|509203|n}}]] is always composite.
  
 
In order to demonstrate whether 509203 is the smallest Riesel number or not (the '''[[Riesel problem]]'''), a [[distributed computing project]] was created named [[Riesel Sieve]].
 
In order to demonstrate whether 509203 is the smallest Riesel number or not (the '''[[Riesel problem]]'''), a [[distributed computing project]] was created named [[Riesel Sieve]].
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*[[Riesel prime]]
 
*[[Riesel prime]]
 
*15,000 Riesel numbers in the {{OEIS|l|A101036}}
 
*15,000 Riesel numbers in the {{OEIS|l|A101036}}
*[[:Category:Riesel k=Riesel|Category: Riesel numbers]]
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*[[Riesel 2 Riesel|Riesel numbers]]
  
 
==External links==
 
==External links==

Revision as of 19:03, 16 August 2021

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A Riesel number is a value of k such that k•2n-1 is always composite for all natural numbers.

Using the same method presented in the Sierpiński problem article, Hans Riesel found in 1956 that 509203•2n-1 is always composite.

In order to demonstrate whether 509203 is the smallest Riesel number or not (the Riesel problem), a distributed computing project was created named Riesel Sieve.

See also

External links

Number classes
General numbers
Special numbers
Prime numbers