Question 15
(PRK 2) Does there exist a set $M$ with the following properties?
(i) The set $M$ consists of $1992$ natural numbers.
(ii) Every element in $M$ and the sum of any number of elements have the form $m^k$ ($m,k\in\mathbb N$, $k\ge2$).
(i) The set $M$ consists of $1992$ natural numbers.
(ii) Every element in $M$ and the sum of any number of elements have the form $m^k$ ($m,k\in\mathbb N$, $k\ge2$).