Movatterモバイル変換

Waring's prime number conjecture

From Wikipedia, the free encyclopedia

Innumber theory,Waring's prime number conjecture is aconjecture related toVinogradov's theorem, named after the English mathematicianEdward Waring. It states that everyodd number exceeding 3 is either aprime number or the sum of three prime numbers. It follows from thegeneralized Riemann hypothesis,^[1] and (trivially) fromGoldbach's weak conjecture.

^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.

v t e Prime number conjectures
Hardy–Littlewood 1st 2nd Agoh–Giuga Andrica's Artin's Bateman–Horn Brocard's Bunyakovsky Chinese hypothesis Cramér's (Shanks') Dickson's Elliott–Halberstam Firoozbakht's (Forgues', Nicholson's, Farhadian'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 Schinzel's hypothesis H Waring's prime number

Prime number conjectures