The gaps in the multiplication table
Emmanuel Kowalski, Vivian Kuperberg

TL;DR
This paper fully characterizes the missing numbers (gaps) between successive products in the multiplication table of the first N integers.
Contribution
It provides a complete enumeration of the gaps in the multiplication table for the first N integers, a novel comprehensive analysis.
Findings
Identifies all gaps in the multiplication table for the first N integers.
Provides a complete list of missing numbers between successive products.
Enhances understanding of the structure of multiplication tables.
Abstract
We determine the complete list of the gaps between successive elements of the multiplication table of the first N integers.
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