MathDB
nice problem

Source: Serbia and Montenegro 2003

July 21, 2006
number theory proposednumber theory

Problem Statement

Let SS be the subset of NN(NN is the set of all natural numbers) satisfying: i)Among each 20032003 consecutive natural numbers there exist at least one contained in SS; ii)If n∈Sn \in S and n>1n>1 then [n2]∈S[\frac{n}{2}] \in S Prove that:S=NS=N I hope it hasn't posted before. :lol: :lol:
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