摘要
Let pn be the nth prime number, and dn=pn-pn-1. This letter researches the function f6（n） which satisfies dn<f6（n） （1）f or almost all the positive integrals. 'Almost all' in this context indicates that the numbers of n≤N for which （1） is false is o（N）. Applying the theorem with respect to the distribution of zeros of Riemann’s ξ-fuuction in Huxley, （see Invent. Math., 15（1972）, 164—170）, it is easy to
