On the equation P(x) = n! and a question of Erdős

Daniel Berend, Charles F. Osgood

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Given a polynomial P of degree ≥ 2 with integer coefficients, it is shown that the set of n, for which the equation P(x) = n! has an integer solution x, is of density zero. This answers in particular a question of Erdo{combining double acute accent}s.

Original languageEnglish
Pages (from-to)189-193
Number of pages5
JournalJournal of Number Theory
Volume42
Issue number2
DOIs
StatePublished - 1 Jan 1992

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