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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. | + | 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}} | ||
| − | *[[ | + | *[[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
- Riesel and Proth Prime Database
- Riesel problem
- Riesel prime
- 15,000 Riesel numbers in the sequence A101036 in OEIS
- Riesel numbers
External links
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