On a Theorem of Prachar Involving Prime Powers
نویسندگان
چکیده
Let p, with or without subscripts, always denote a prime number. In this paper we are able to establish two localized results on a theorem of Prachar which states that almost all positive even integers n can be written as n = p2 + p3 + p4 + p5. As a consequence of one result, we prove additionally that each sufficiently large odd integer N can be represented as N = p1+p2+p3+p4+p5 with ∣pkk − 5 ∣∣ ≤ N1− 1 264+ε for k = 1, . . . , 5.
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