Document Zbl 0596.10001

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Some solved and unsolved problems of mine in number theory. (English) Zbl 0596.10001

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

[For the entire collection see Zbl 0589.00007.]
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

Cited in 2 Documents

MSC:

11-02	Research exposition (monographs, survey articles) pertaining to number theory
11N05	Distribution of primes
00A07	Problem books

Keywords:

difference of consecutive primes; unsolved problems; primes; divisors

Citations:

Zbl 0589.00007

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