The Gaps in the Multiplication Table

We determine the complete list of the gaps between successive elements of the multiplication table of the first N integers.

Authors

Publication Details

Journal
American Mathematical Monthly
Published
2026-08-24
DOI
https://doi.org/10.1080/00029890.2026.2702293
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Gaps in the Multiplication Table

Emmanuel Kowalski
American Mathematical Monthly
Analytic Number Theory Research
article

The Gaps in the Multiplication Table

Emmanuel Kowalski
article en

Abstract

We determine the complete list of the gaps between successive elements of the multiplication table of the first N integers.

American Mathematical Monthly
Openalex Percentile: Top 98%
Analytic Number Theory Research
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.