Waring's prime number conjecture

In number theory, Waring's prime number conjecture is a conjecture related to Vinogradov's theorem, named after the English mathematician Edward Waring. It states that every odd number exceeding 3 is either a prime number or the sum of three prime numbers. It follows from the generalized Riemann hypothesis^[1] and (trivially) from Goldbach's weak conjecture.

See also

Schnirelmann's constant

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.

External links

Weisstein, Eric W. "Waring's prime number conjecture". MathWorld.

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

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