We are given a positive integer
which is not a power of two. Show that ther exists a positive integer
with the following two properties:
(a)
is the product of two consecutive positive integers;
(b) the decimal representation of
consists of two identical blocks with
digits.
%V0
We are given a positive integer $n$ which is not a power of two. Show that ther exists a positive integer $m$ with the following two properties:
(a) $m$ is the product of two consecutive positive integers;
(b) the decimal representation of $m$ consists of two identical blocks with $n$ digits.
Školjka