Zentralblatt MATH

Publications of (and about) Paul Erdös
Zbl.No:  245.10032
Autor:  Erdös, Paul
Title:  Some problems on consecutive prime numbers. (In English)
Source:  Mathematika, Lond. 19, 91-95 (1972).
Review:  Continuing his work on consecutive primes, it is proved here that the number of (k-1)-tuples {dn+1, ... ,dn+k-1 }, max {dn+1: 1 \leq i \leq k-1 } < 10 k log x, 1 \leq n \leq x, is greater than c(log x)k-1, where dj = pj+1-pj. Some related results and conjectures are included.
Reviewer:  R.G.Buschmann
Classif.:  * 11N13 Primes in progressions
                   11N35 Sieves
                   11N05 Distribution of primes

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