Question 168
Prove that there exist infinitely many natural numbers $x$, $y$, $z$, with $z$ a prime number, satisfying the equation
$$
x^{2}+y^{3}=2^{z}
$$
$$
x^{2}+y^{3}=2^{z}
$$
MathNet 2017-part-03 — 176 problems (EN–VI) Question 168
Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)