MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2014 ASDAN Math Tournament
2
2014 Algebra #2
2014 Algebra #2
Source:
July 8, 2022
2014
Algebra Test
Problem Statement
Let
a
a
a
and
b
b
b
be positive integers such that
a
>
b
a>b
a
>
b
and the difference between
a
2
+
b
a^2+b
a
2
+
b
and
a
+
b
2
a+b^2
a
+
b
2
is prime. Compute all possible pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
.
Back to Problems
View on AoPS