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11
Find all prime $x,y$ and $z,$ such that $x^5 +y^3 -(x+y)^2=3z^3$
Find all prime $x,y$ and $z,$ such that $x^5 +y^3 -(x+y)^2=3z^3$
Source:
March 23, 2022
number theory
Problem Statement
Find all prime
x
,
y
x,y
x
,
y
and
z
,
z,
z
,
such that
x
5
+
y
3
ā
(
x
+
y
)
2
=
3
z
3
x^5 +y^3 -(x+y)^2=3z^3
x
5
+
y
3
ā
(
x
+
y
)
2
=
3
z
3
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