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Baltic Way
2021 Baltic Way
18
18
Part of
2021 Baltic Way
Problems
(1)
Trivial diophantine
Source: Baltic Way 2021, Problem 18
11/15/2021
Find all integer triples
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
satisfying the equation
5
a
2
+
9
b
2
=
13
c
2
.
5 a^2 + 9 b^2 = 13 c^2.
5
a
2
+
9
b
2
=
13
c
2
.
number theory
number theory proposed
Diophantine equation
Infinite Descent