Question 42
Call a number *interesting* if it can be represented as the sum of squares of three distinct non-negative integers. For example, the number $5$ is interesting, because $5 = 0^2 + 1^2 + 2^2$. Call a number *special* if it is not interesting, but can be represented as the product of two distinct interesting numbers.
a. Find one special number.
b. Prove that there are infinitely many special numbers.
a. Find one special number.
b. Prove that there are infinitely many special numbers.