We are learning about the the Pythagorean Theorem in class. It says that $a^2+b^2 = c^2$. My homework problem says the following:
Find integers $a,b$ and $c$ such that $a^3+b^3 = c^3$.
How do I solve this equation?
I've been starting with $(3,4,5), (4,4,5)$ etc. Basically I am starting Pythogrean triples.