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For any integer n - JBMO Shortlist
For any integer n - JBMO Shortlist
Source:
October 30, 2010
function
floor function
limit
algebra proposed
algebra
Problem Statement
Prove that for any integer
n
n
n
one can find integers
a
a
a
and
b
b
b
such that
n
=
[
a
2
]
+
[
b
3
]
n=\left[ a\sqrt{2}\right]+\left[ b\sqrt{3}\right]
n
=
[
a
2
]
+
[
b
3
]
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