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**Zentralblatt MATH**

**Publications of (and about) Paul Erdös**

**Zbl.No: ** 434.10003

**Autor: ** Erdös, Paul

**Title: ** Problems and results on combinatorial number theory. II. (In English)

**Source: ** J. Indian Math. Soc., New Ser. 40, 285-298 (1976).

**Review: ** [Part I, cf. Survey comb. Theory, Sympos. Colorado State Univ., Colorado 1971, 117-138 (1973; Zbl 263.10001).]

The author discusses a number of interesting problems which he and many others have looked at in recent years. The article contains statements of these problems, a brief history of what is known, and some further references. Most of the problems are combinatorial in nature, and concern sequences having certain arithmetic properties. An easly stated example: For every n, is there an arithmetic progression no term of which is of the form 2^{k1}+...+2^{kn}+p, p a prime?

**Reviewer: ** W.A.Webb (M.R.56,2902)

**Classif.: ** * 11-02 Research monographs (number theory)

11B25 Arithmetic progressions

11Axx Elementary number theory

00A07 Problem books

**Keywords: ** problems; combinatorial number theory; arithmetic progression

**Citations: ** Zbl.263.10001

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