English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

An additive-multiplicative magic square is a square grid of numbers whoserows, columns, and long diagonals all have the same sum (called the magic sum)and the same product (called the magic product). There are numerous openproblems about magic squares by Christian Boyer on multimagie.com. One suchproblem is to construct or prove the impossibility of a $5 \times 5$ or $6\times 6$ additive-multiplicative magic square of distinct positive integers.Here, we present a possible approach to this problem and some partial results.We observe that such a square can be described by a form determined by theprime factorizations of its entries and that identifying these forms might behelpful in finding such a square or ruling out specific magic products.

Some Thoughts on the Search for $5 \times 5$ and $6 \times 6$ Additive-Multiplicative Magic Squares