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Riesel number
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A Riesel number is a value of k such that k × 2n - 1 is always composite.
Using the same method presented in the Sierpinski problem article, H.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.