MathDB
Problems
Contests
International Contests
Tournament Of Towns
1993 Tournament Of Towns
(389) 1
TOT 389 1993 Autumn O S1 x^2+y^3=z^2 NT
TOT 389 1993 Autumn O S1 x^2+y^3=z^2 NT
Source:
June 12, 2024
number theory
diophantine
Diophantine equation
Problem Statement
Consider the set of solutions of the equation
x
2
+
y
3
=
z
2
.
x^2+y^3=z^2.
x
2
+
y
3
=
z
2
.
in positive integers. Is it finite or infinite? (Folklore)
Back to Problems
View on AoPS