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
Global / Unspecified, Global
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.
Citation ID: WS01233
Title: 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.
URL: https://www.worldsolve.org/index.php?api=problem&id=1233