On the partitions into squares whose reciprocal sum is one

2019/95/1-2 (16) — DOI: 10.5486/PMD.2019.8574 — pp. 243-247

Authors: Byungchan Kim, Ji Young Kim, Chong Gyu Lee and Poo-Sung Park

Abstract:

We show that for all positive integers $n>1223$, there is a partition of $n$ into squares whose reciprocals sum to 1.

Keywords: partition, reciprocal sum, square

Mathematics Subject Classification: 11P81