# 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

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

## Source of Name

This entry was named for Wacław Franciszek Sierpiński.