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
- ^ Deshouillers, J.-M.; Effinger, G.; te Riele, H.; Zinoviev, D. (1997). "A complete Vinogradov 3-primes theorem under the Riemann Hypothesis". Electr. Res. Ann. of AMS. 3: 99–104.
External links
- Weisstein, Eric W. "Waring's prime number conjecture". MathWorld.
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Prime number conjectures
- Hardy–Littlewood
- 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
- Legendre's constant
- Lemoine's
- Mersenne
- Oppermann's
- Polignac's
- Pólya
- Schinzel's hypothesis H
- Waring's prime number
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