1.
The remainder when is divided by 13, is
2.
is divisible by
3.
For all is divisible by
4.
For all is divisible by
5.
is divisible by
6.
The term of the series is
7.
If is a statement such that, if is true, is true for , then is true
8.
Using mathematical induction, then numbers are defined by Then,  is equal to
9.
is divisible by
10.
If . So, we can conclude that for