Odd positive integers that satisfy $a^2 - b^3 = 4$

337 Views Asked by At

Are there any odd positive numbers that satisfy the equation:

$a^2 - b^3 = 4$ ?

I am certain that there are none but can't prove it. How would you prove that?

1

There are 1 best solutions below

15
On

Start by rewriting it as $a^2-4=b^3$, and do what comes naturally.