MathDB
Problems
Contests
National and Regional Contests
Bosnia Herzegovina Contests
Bosnia Herzegovina Team Selection Test
2009 Bosnia Herzegovina Team Selection Test
2
Bosnia 2009 Problem 2 a^2(b-a)/(b+a) = square of prime
Bosnia 2009 Problem 2 a^2(b-a)/(b+a) = square of prime
Source:
August 12, 2010
number theory proposed
number theory
Problem Statement
Find all pairs
(
a
,
b
)
\left(a,b\right)
(
a
,
b
)
of posive integers such that
a
2
(
b
−
a
)
b
+
a
\frac{a^{2}\left(b-a\right)}{b+a}
b
+
a
a
2
(
b
−
a
)
is square of prime.
Back to Problems
View on AoPS