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 dn is the difference pn+1-pn between consecutive primes, then dn+1-dn and dn+1-dn+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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