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On Representation of Even Number as the Sum of a Prime and an Almost Prime
https://doi.org/10.1142/9789814542487_0014Cited by:0 (Source: Crossref)
Abstract:
§1. Let N be a large even number and V(m) the number of prime divisors of m. In 1948, Hungarian mathematician A. Rényi [1] has proved that N = a+b, where V(a) =1 and V(b)≤K in which K is an absolute constant. Under the assmuption of the Riemann hypothesis, Wang Yuan [2] has established that K≤3. We shall prove, in this paper, K≤5, namely…
