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National and Regional Contests
PEN Problems
PEN H Problems
36
36
Part of
PEN H Problems
Problems
(1)
H 36
Source:
5/25/2007
Prove that the equation
a
2
+
b
2
=
c
2
+
3
a^2 +b^2 =c^2 +3
a
2
+
b
2
=
c
2
+
3
has infinitely many integer solutions
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
.
Diophantine Equations
pen