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KoMaL A Problems 2021/2022
A. 808
Number Theory equation
Number Theory equation
Source: Komal October 2021 A808
November 22, 2021
number theory
Problem Statement
Find all triples of positive integers
a
,
b
,
c
a, b, c
a
,
b
,
c
such that they are pairwise relatively prime and
a
2
+
3
b
2
c
2
=
7
c
a^2+3b^2c^2=7^c
a
2
+
3
b
2
c
2
=
7
c
.
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