The twin prime conjecture is a famous hypothesis in number theory that suggests there are infinitely many pairs of prime numbers that have a difference of two. For example, the pairs (3, 5), (11, 13), and (17, 19) are all twin primes. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. Despite extensive research, mathematicians have not yet proven the conjecture true or false. The conjecture remains an open question in mathematics, attracting interest from both amateur and professional mathematicians. If proven, it would deepen our understanding of the distribution of prime numbers.