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1998 APMO
2
Can't be power of 2
Can't be power of 2
Source: APMO 1998
March 17, 2006
number theory
greatest common divisor
modular arithmetic
quadratics
number theory solved
Problem Statement
Show that for any positive integers
a
a
a
and
b
b
b
,
(
36
a
+
b
)
(
a
+
36
b
)
(36a+b)(a+36b)
(
36
a
+
b
)
(
a
+
36
b
)
cannot be a power of
2
2
2
.
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