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On integers of the form

Authors:	Yong-Gao Chen

Institution:	Department of Mathematics, Nanjing Normal University, Nanjing 210097, People's Republic of China

Abstract:	In this paper we prove that the set of positive odd integers which have no representation of the form $2^{n} \pm p^{\alpha } q^{\beta }$ , where , are distinct odd primes and $n, \alpha ,\beta$ are nonnegative integers, has positive lower asymptotic density in the set of all positive odd integers.

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