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South Africa Contests
South Africa National Olympiad
2000 South africa National Olympiad
1
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Part of
2000 South africa National Olympiad
Problems
(1)
Prime?
Source: South Africa 2000
9/30/2005
A number
x
n
x_n
x
n
ā
of the form 10101...1 has
n
n
n
ones. Find all
n
n
n
such that
x
n
x_n
x
n
ā
is prime.
number theory solved
number theory