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Inequalities involving the sequence of differences of the prime numbers. (English) Zbl 1078.11004

This article deals with results relating to the following sequences: the difference of consecutive primes, the ratio of the difference of consecutive primes over the logarithm of the index of the term, and the average of consecutive primes. The convergence of the last sequence is also studied.

MSC:

11A41 Primes
11N05 Distribution of primes
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