Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
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?
Start by rewriting it as $a^2-4=b^3$, and do what comes naturally.
Required, but never shown