MathDB
Problems
Contests
International Contests
Baltic Way
2011 Baltic Way
18
Good old difference of two squares
Good old difference of two squares
Source: Baltic Way 2011
November 6, 2011
number theory proposed
number theory
Problem Statement
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.
Back to Problems
View on AoPS