The task in this question is to identify which sentence among the given five does not belong to the same coherent paragraph. This involves understanding the overall theme or topic of the paragraph and assessing which sentence diverges from this theme.
Conclusion: The sentence that does not fit with the rest in forming a coherent paragraph is Option 4 as it focuses on the technical setup rather than Torres's style or thematic content.
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is: