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2012 India IMO Training Camp
2
Find least positive integer not representable in a form.
Find least positive integer not representable in a form.
Source:
July 23, 2012
number theory proposed
number theory
Problem Statement
Find the least positive integer that cannot be represented as
2
a
−
2
b
2
c
−
2
d
\frac{2^a-2^b}{2^c-2^d}
2
c
−
2
d
2
a
−
2
b
for some positive integers
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
.
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