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Baltic Way
2002 Baltic Way
20
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Part of
2002 Baltic Way
Problems
(1)
Infinite arithmetic progression of powers
Source: Baltic Way 2002
11/13/2010
Does there exist an infinite non-constant arithmetic progression, each term of which is of the form
a
b
a^b
a
b
, where
a
a
a
and
b
b
b
are positive integers with
b
≥
2
b\ge 2
b
≥
2
?
arithmetic sequence
number theory
number theory proposed