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Summer Maths Puzzles - Tuesday 27 August - Pagination Poser

Pagination Poser

The editor of a mathematics journal asks her publisher what the page limit is. The publisher replies that every page must be numbered but that she can use at most 2019 digits in total to number the pages.

What is the page limit for the volume?

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons