Prove that for every positive integer
the set
can be partitioned into
triples in such a way that the numbers from each triple are the lengths of the sides of some obtuse triangle.
Proposed by Canada
%V0
Prove that for every positive integer $n,$ the set $\{2,3,4,\ldots,3n+1\}$ can be partitioned into $n$ triples in such a way that the numbers from each triple are the lengths of the sides of some obtuse triangle.
Proposed by Canada
Školjka