1st ibmo - colombia 1985./q5
Source: Spanish Communities
April 6, 2006
Columbiafunctionpigeonhole principlenumber theoryrelatively primenumber theory unsolved
Problem Statement
To each positive integer it is assigned a non-negative integer such that the following conditions are satisfied:(1) f(rs) \equal{} f(r)\plus{}f(s)
(2) f(n) \equal{} 0, if the first digit (from right to left) of is 3.
(3) f(10) \equal{} 0.Find . Justify your answer.