Cuban Prime Calculator

What is a Cuban Prime?

A Cuban prime is a prime number that is a solution to the Diophantine equation x^3 + y^3 = z^3 + 1, where x, y, and z are positive integers. It's a special type of prime number related to the sum of cubes.

Formula:

The Diophantine equation for Cuban primes is x^3 + y^3 = z^3 + 1.

Solution Process:

When checking a number for Cuban primality, the application verifies if the given number satisfies the Diophantine equation. The application then checks if both the calculated value and the given number are prime. If the conditions are met, the number is identified as a Cuban Prime.

Check Single Cuban Prime

Check Cuban Primes in Range