Proof of the Tijdeman-Zagier Conjecture via Slope Irrationality and Term Coprimality

David Hauser, Ian Hauser

The Tijdeman-Zagier conjecture states no integer solution exists for $A^X+B^Y=C^Z$ with positive integer bases and integer exponents greater than 2 unless gcd$(A,B,C)>1$. Any set o…