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1. On a Theorem of Prachar Involving Prime Powers.

Author

Li, Taiyu and Tang, Hengcai

Subjects
*INTEGRAL theorems, *PRIME numbers, *CONSECUTIVE powers (Algebra), *EXPONENTIAL sums, *DIFFERENTIAL equations
Abstract

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 . As a consequence of one result, we prove additionally that each sufficiently large odd integer N can be represented as with for . [ABSTRACT FROM AUTHOR]

Published
2012
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