On Primes In Short Intervals
General Mathematics
2009-01-07 v1
Abstract
This note discusses the existence of prime numbers in short intervals. An unconditional elementary argument seems to prove the existence of primes in the short intervals [x, x + y], where y >= x^(1/2)(log x)^e, e > 0, and a sufficiently large number x > 0. Further, an extension of Bertrand's postulate to arithmetic progressions will be considered
Cite
@article{arxiv.0812.4965,
title = {On Primes In Short Intervals},
author = {N. A. Carella},
journal= {arXiv preprint arXiv:0812.4965},
year = {2009}
}
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31 Pages