We haven't proven whether there are infinitely many twin prime numbers.
open
Mathematics & Logic
Twin primes are pairs of prime numbers that differ by only two, and mathematicians strongly suspect there are infinitely many, but nobody has proven it. This remains one of number theory's oldest open questions.
Team Humans Club. (2026). Problem WS00291: We haven't proven whether there are infinitely many twin prime numbers.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=291