Let F be the set consisting of all total unary number-theoretic functions that satisfy f(i)=i fo

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Step 1: Understand the problem statement.u000AWe need to prove that there exist functions in the set

Let $\mathrm{F}$ be the set consisting of all total unary number-theoretic functions that satisfy $f(i)=i$ for every even natural number $i$. Prove that there are functions in $\mathrm{F}$ that are not Turing computable.