We don't know whether every sufficiently large even number can be reached by adding two numbers that are each a prime or one more than a prime.
open
Mathematics & Logic
This weaker cousin of Goldbach's Conjecture illustrates how even modest-sounding claims about primes can remain unproven for centuries. It highlights how little we still understand about the raw arithmetic of prime numbers.
Team Humans Club. (2026). Problem WS01233: We don't know whether every sufficiently large even number can be reached by adding two numbers that are each a prime or one more than a prime.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1233