Definition:Sierpiński Number of the First Kind

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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:

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

This sequence is A014566 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


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.


Sources