MathDB
2018 PUMaC Live Round 1.2

Source:

January 13, 2019
functionPuMACLive Round

Problem Statement

Define a function given the following 22 rules: \qquad 1) for prime pp, f(p)=p+1f(p)=p+1. \qquad 2) for positive integers aa and bb, f(ab)=f(a)⋅f(b)f(ab)=f(a)\cdot f(b). For how many positive integers n≤100n\leq 100 is f(n)f(n) divisible by 33?
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