Title of article
On Romanoffʹs constant
Author/Authors
Yong-Gao Chen، نويسنده , , X.-G.Xue-Gong Sun، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
10
From page
275
To page
284
Abstract
In 1934, Romanoff proved that there are a positive proportion natural numbers which can be expressed as the sum of a prime and a power of 2. In this paper, a quantitative version of this theorem is given. We show that the proportion is larger than 0.0868 and for a positive proportion of odd integers the number of such representations is between 1 and 16.
Keywords
Covering systems , Romanoff’s theorem , Sums of prime powers , Distribution of primes , Twinprimes
Journal title
Journal of Number Theory
Serial Year
2004
Journal title
Journal of Number Theory
Record number
715594
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