Sierpinski Number

Sierpinski Number

In number theory, a Sierpinski or Sierpiński number is an odd natural number k such that k2n + 1 is composite, for all natural numbers n; in 1960, Wacław Sierpiński proved that there are infinitely many odd integers k which have this property.

In other words, when k is a Sierpinski number, all members of the following set are composite:

Numbers in such a set with odd k and k < 2n are Proth numbers.

Read more about Sierpinski Number:  Known Sierpinski Numbers, The Sierpinski Problem

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