Resources for explaining the Prime Number Theorem to 18-year-old students should focus on its significance rather than its proof, aiming to inspire interest in mathematics. The discussion highlights the importance of presenting numerical evidence, such as the relationship between N, ln(N), and π(N), to demonstrate the theorem's relevance. John Derbyshire's book "Prime Obsession" is recommended for its engaging introduction to the topic. Additionally, the conversation touches on the historical context of the theorem and its rigorous validation, questioning the need for further numerical validation today. Engaging materials that illustrate the theorem's impact can effectively motivate students to explore mathematics further.