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2008 Ukraine Team Selection Test
6
6
Part of
2008 Ukraine Team Selection Test
Problems
(1)
there exist infinitely many pairs of natural number
Source: Ukrainian TST 2008 Problem 6
2/12/2009
Prove that there exist infinitely many pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of natural numbers not equal to
1
1
1
such that b^b \plus{}a is divisible by a^a \plus{}b.
modular arithmetic
number theory unsolved
number theory