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National and Regional Contests
PEN Problems
PEN H Problems
73
73
Part of
PEN H Problems
Problems
(1)
H 73
Source:
5/25/2007
Find all pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
of positive integers that satisfy the equation
a
b
2
=
b
a
.
a^{b^{2}}= b^{a}.
a
b
2
=
b
a
.
greatest common divisor
Diophantine Equations