Question 56
A special number is a positive integer $n$ for which there exist positive integer $a$, $b$, $c$ and $d$ with
$$
n = \frac{a^3 + 2b^3}{c^3 + 2d^3}
$$
Prove that
(a) There are infinitely many special numbers;
(b) 2014 is not a special number.
$$
n = \frac{a^3 + 2b^3}{c^3 + 2d^3}
$$
Prove that
(a) There are infinitely many special numbers;
(b) 2014 is not a special number.