Waring's prime number conjecture

In mathematics, Waring's prime number conjecture is a conjecture in number theory, closely related to Vinogradov's theorem. The conjecture is named after the English mathematician Edward Waring and states that every odd integer exceeding 3 is either a prime number or the sum of three prime numbers. The conjecture is known to follow from the generalized Riemann hypothesis.^[1]

References

↑ J.-M. Deshouillers, G. Effinger, H. te Riele, and D. Zinoviev, A complete Vinogradov 3-primes theorem under the Riemann Hypothesis, Electr. Res. Ann. of AMS 3 (1997), 99--104.

Prime number conjectures

Hardy–Littlewood 1st 2nd Agoh–Giuga Andrica's Artin's Bateman–Horn Brocard's Bunyakovsky Chinese hypothesis Cramér's Dickson's Elliott–Halberstam Firoozbakht's Gilbreath's Grimm's Landau's problems Goldbach's weak Legendre's Twin prime Legendre's constant Lemoine's Mersenne Oppermann's Polignac's Pólya Redmond–Sun Schinzel's hypothesis H Waring's prime number