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National and Regional Contests
Greece Contests
Greece JBMO TST
2020 Greece JBMO TST
3
3
Part of
2020 Greece JBMO TST
Problems
(1)
3a^2b+16ab^2 is perfect square for primes a,b >0
Source: 2020 Greek JBMO TST p3
11/14/2020
Find all pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of prime positive integers
a
,
b
a,b
a
,
b
such that number
A
=
3
a
2
b
+
16
a
b
2
A=3a^2b+16ab^2
A
=
3
a
2
b
+
16
a
b
2
equals to a square of an integer.
number theory
Perfect Square