MathDB
Problems
Contests
International Contests
APMO
1998 APMO
2
2
Part of
1998 APMO
Problems
(1)
Can't be power of 2
Source: APMO 1998
3/17/2006
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
.
number theory
greatest common divisor
modular arithmetic
quadratics
number theory solved