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On Romanoff's constant
- Source :
-
Journal of Number Theory . Jun2004, Vol. 106 Issue 2, p275-284. 10p. - Publication Year :
- 2004
-
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. [Copyright &y& Elsevier]
- Subjects :
- *NATURAL numbers
*RATIONAL numbers
*REAL numbers
*INTEGERS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 106
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 13060847
- Full Text :
- https://doi.org/10.1016/j.jnt.2003.11.009