For ten points, identify these equations to which only the integer solutions are relevant to study, named for a classical mathematician from Alexandria.
The Chakravala method is used for  nding solutions to these things. The Erdos-Strauss conjecture states that a certain set of these things all have so- lutions. Hilbert's tenth problem asked whether all of these things could be solved, and   Matiyasevich proved that no general algorithm for solving these things existed. Pell's equation is one of these things, which can be solved us- ing the Hasse principle. Fermat's Last Theorem states that no solutions exist to a speci c class of these equations. For ten points, identify these equations to which only the integer solutions are relevant to study, named for a classical mathematician from Alexandria.
The Chakravala method is used for  nding solutions to these things.
Diophantine equations