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**Zentralblatt MATH**

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

**Zbl.No: ** 596.10001

**Autor: ** Erdös, Paul

**Title: ** Some solved and unsolved problems of mine in number theory. (In English)

**Source: ** Topics in analytic number theory, Proc. Conf., Austin/Tex. 1982, 59-75 (1985).

**Review: ** [For the entire collection see Zbl 589.00007.]

This article contains many old and new problems on primes, divisors, etc., with comments and partial results. A number have prizes attached. The one with the smallest non-zero-prize (and so the easiest?) asks that if d_{n} is the difference p_{n+1}-p_{n} between consecutive primes, then d_{n+1}-d_{n} and d_{n+1}-d_{n+2} should have opposite signs infinitely often.

**Reviewer: ** D.R.Heath-Brown

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

11N05 Distribution of primes

00A07 Problem books

**Keywords: ** difference of consecutive primes; unsolved problems; primes; divisors

**Citations: ** Zbl 589.00007

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