On Primes In Short Intervals

Details On Primes In Short Intervals On Primes In Short Intervals

2008-12-29

arxiv.org/abs/0812.4965v1

Mathematics

General Mathematics

31 Pages

Scientific paper

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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