 where \(p_i\) is the \(i\)th prime number as defined above. In other words, the code of \(n_0,n_1,\ldots,n_{k-1}\) is the natural number resulting from taking the product of the numbers \(p_i^{n_i + 1}\) for \(0 \leq i \leq k-1\). This will be denote by \(\langle n_0,n_1,\ldots,n_{k-1} \rangle\)—e.g., 