A Note on Short Intervals Containing Primes
Download
Download
DownloadExport
Hassani, Mehdi and Sariolgalam, Narges (2004) A Note on Short Intervals Containing Primes. Research report collection, 7 (3).
Abstract
In 1999, P. Dusart showed that for x ≥ 3275, there exists at least a prime number in the interval (x, x(1 + 1/(2ln²x))] and in 2003, O. Ramaré and Y. Saouter showed that for x ≥ 10726905041 there exists at least a prime number in the interval (x(1 − ∆⁻¹), x], in which ∆ = 28314000. In this note, we show that for x ≥ 1.17×10¹⁶³⁴, we can yield Ramaré-Saouter’s result from Dusart’s result.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/18050 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | primes |
| Download/View statistics | View download statistics for this item |
CORE (COnnecting REpositories)