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Baltic Way
2011 Baltic Way
18
18
Part of
2011 Baltic Way
Problems
(1)
Good old difference of two squares
Source: Baltic Way 2011
11/6/2011
Determine all pairs
(
p
,
q
)
(p,q)
(
p
,
q
)
of primes for which both
p
2
+
q
3
p^2+q^3
p
2
+
q
3
and
q
2
+
p
3
q^2+p^3
q
2
+
p
3
are perfect squares.
number theory proposed
number theory