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Spain Mathematical Olympiad
2012 Spain Mathematical Olympiad
1
Diophantine for n and k
Diophantine for n and k
Source: Spanish MO 2012 Q4
June 7, 2012
modular arithmetic
inequalities
number theory proposed
number theory
Problem Statement
Find all positive integers
n
n
n
and
k
k
k
such that
(
n
+
1
)
n
=
2
n
k
+
3
n
+
1
(n+1)^n=2n^k+3n+1
(
n
+
1
)
n
=
2
n
k
+
3
n
+
1
.
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