Counting Primes in the Interval (n², (n + 1)²)
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Hassani, Mehdi (2005) Counting Primes in the Interval (n², (n + 1)²). Research report collection, 8 (2).
Abstract
In this note, we show that there are many infinity positive integer values of n, in which the following inequality holds [⅟₂ (((n + 1)²)/ln (n + 1) - (n²)/(ln n)) - (ln²n)/(ln ln n)] ≤ ∏ ((n + 1)²) - ∏(n²).
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/18081 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | primes, distribution of primes |
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