The Difference of Two Polygonal Numbers

Summary

We determine all natural numbers that can be expressed as the difference of two m-gonal numbers. For each such number, we determine the number of possible expression as the difference of two m-gonal numbers.

MSC::

• Primary 11B83
• Secondary 05A17

Additional information

Notes on contributors

Daeyeol Jeon

DAEYEOL JEON received his PhD from the Department of Mathematical Science at KAIST (Korea Advanced Institute of Science and Technology). He worked as a researcher at KIAS (Korea Institute for Advanced Study) and studied Diophantine geometry. After leaving KIAS, he joined the faculty at Kongju National University to teach mathematics and continue his research in Number Theory.

Heonkyu Lee

HEONKYU LEE graduated from the Department of Biology Education at Kongju National University and obtained a master’s degree at the Department of Mathematics Education at the University under the supervision of professor Daeyeol Jeon.