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arXiv · 0812.4965

On Primes In Short Intervals

N. A. Carella
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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

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N. A. Carella. 2008-12-29. On Primes In Short Intervals. https://arxiv.org/abs/0812.4965

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