Definition:Sierpiński Number of the First Kind

Definition

The Sierpiński numbers of the first kind are the integers $S_n$ in the form:

$S_n := n^n + 1$

for all integers $n$.

Sequence of Sierpiński Numbers of the First Kind

The sequence of Sierpiński numbers of the first kind begins:

$2, 5, 28, 257, 3126, 46 \, 657, 823 \, 544, 16 \, 777 \, 217, \ldots$

Also see

• Prime Sierpiński Numbers of the First Kind

• Results about Sierpiński Numbers of the First Kind can be found here.

Source of Name

This entry was named for Wacław Franciszek Sierpiński.

Sources

• Weisstein, Eric W. "Sierpiński Number of the First Kind." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SierpinskiNumberoftheFirstKind.html