Vlamos, P. M. Inequalities involving the sequence of differences of the prime numbers. (English) Zbl 1078.11004 Publ. Cent. Rech. Math. Pures, Sér. I 32, 32-40 (2001). 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. Reviewer: Svetoslav Bilchev (Russe) MSC: 11A41 Primes 11N05 Distribution of primes Keywords:prime numbers; integer sequences PDFBibTeX XMLCite \textit{P. M. Vlamos}, Publ. Cent. Rech. Math. Pures, Sér. I 32, 32--40 (2001; Zbl 1078.11004)