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Bulgaria JBMO Team Selection Test
2017 Bulgaria JBMO TST
1
Classical NT equation
Classical NT equation
Source: Bulgaria JBMO TST 2017 P1 Day 2
August 26, 2019
number theory proposed
number theory
Problem Statement
Find all positive integers
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
so that
a
2
+
b
2
+
c
2
+
d
2
=
13
ā
4
n
a^2+b^2+c^2+d^2=13 \cdot 4^n
a
2
+
b
2
+
c
2
+
d
2
=
13
ā
4
n
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