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(2^a-2^b)/(2^c-2^d)
(2^a-2^b)/(2^c-2^d)
Source: ARO 2005 - problem 10.1
April 30, 2005
number theory
representation
Problem Statement
Find the least positive integer, which may not be represented as
2
a
−
2
b
2
c
−
2
d
{2^a-2^b\over 2^c-2^d}
2
c
−
2
d
2
a
−
2
b
, where
a
,
b
,
c
,
d
a,\,b,\,c,\,d
a
,
b
,
c
,
d
are positive integers.
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