Waring's prime number conjecture states that every odd integer 
is a prime or a sum
of three primes.
The statement is now a theorem. Helfgott (2014, p. 2) proved the weak Goldbach conjecture, which
gives such a three-prime representation for every
odd integer 
. The cases 
and 
hold because both numbers are prime.
This result is closely related to Vinogradov's
theorem.
