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).


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
Subjects Current > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords primes, distribution of primes
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