The Twin Prime Conjecture, a fundamental problem in number theory, explores the infinite existence of twin primes, which are prime numbers that differ by 2. This conjecture, if proven true, would have profound implications for game theory, specifically in the context of a hypothetical Magic: The Gathering game scenario. In this scenario, two players, Alice and Bob, compete by choosing prime numbers, with Alice needing to select a twin prime larger than Bob’s number. If the Twin Prime Conjecture is false, Bob could win by choosing a number larger than the largest known twin prime, as Alice would be unable to find a larger twin prime. However, if the conjecture is true, Alice would have a guaranteed winning strategy, as she could always choose a twin prime exceeding Bob’s number. This scenario highlights the potential of the Twin Prime Conjecture to influence game theory by providing a new framework for strategic decision-making based on the existence of infinitely many twin primes.