Online Beal Conjecture Counterexample Checker
Beal's Conjecture is that:
- If Ax + By = Cz,
- where A, B, C, x, y, z are all positive integers and x, y, z are all greater than 2,
- then A, B and C must have a common prime factor.
If you can prove the conjecture to be true (or false), you will win a million dollar prize. I can't help you with a proof.
You also win the prize if you can come up with a counterexample. A valid counterexample must have these properties:
- Ax + By must equal Cz
- A, B, C, x, y, z must all be positive integers
- x, y, z must all be greater than 2
- A, B, C must have no common factor (other than 1).
If you have a purported counterexample, you can check it here.
Enter values for A, x, B, y, C, z and hit the Check button.