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CW1996

Chen, Jing Run and Wang, Tian Ze, "The Goldbach problem for odd numbers," Acta Math. Sinica (Chin. Ser.), 39:2 (1996) 169--174.  MR1411958

Abstract: It is shown here that every odd integer N> exp(exp(9.715)) (~ 10⁷¹⁹⁴) can be written as the sum of three primes. This improves a result of the authors [Acta Math. Sinica 32 (1989), no. 5, 702--718; Zbl 695.10041] in which the constant is 10⁴³⁰⁰¹. The result is proved by the investigation of the zero-free region of the Dirichlet L-function and the mean-value estimate of the distribution of primes.