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2024 Serbia JBMO TST
1
1
Part of
2024 Serbia JBMO TST
Problems
(1)
Equation with powers
Source: Serbia JBMO TST 2024 P1
5/25/2024
Find all non-negative integers
x
,
y
x, y
x
,
y
and primes
p
p
p
such that
3
x
+
p
2
=
7
ā
2
y
.
3^x+p^2=7 \cdot 2^y.
3
x
+
p
2
=
7
ā
2
y
.
number theory