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Easy Diophantine equation
Easy Diophantine equation
Source:
June 5, 2017
Diophantine equation
number theory
modular arithmetic
Problem Statement
Find all pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of positive integers such that
(
a
b
)
2
ā
4
(
a
+
b
)
(ab)^2 - 4(a+b)
(
ab
)
2
ā
4
(
a
+
b
)
is the square of an integer.
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