There is a newer version of the record available.

Published June 16, 2026 | Version v1

Higher Order Block-Structured Prime Magic Squares: Order 1220 Multiples of 4

  • 1. Formerly, Professor of Mathematics, Federal University of Santa Catarina, Florianópolis, SC, Brazil.

Description

This work bring for first time in the literature of magic squares a prime magic square of order 1220x1220. All the prime numbers are distinct. This prime magic squre is block-structured with equal sums prime magic squares of order 4. This is work studied in levels or steps. Before bring prime magic square of order 1220, we brought first the prime magic squares of orders 120, 160, 324, 484, 656, 986 and then finally the order 1220. The idea of studying first the lower orders is that we are able to bring lower orders with less magic squares sums. In each case the magic sum of order 4 is different, but in each level they are of equal sums. It goes on increasing as the order of magic squares increases.

Files

Block-Structured-1220.pdf

Files (36.6 MB)

Name Size
md5:6dd960fbfa112c5cf85b54ae9bcb9bfe
7.5 MB Download
md5:7284fb689faabba48ec5d541ee805002
14.7 MB Download
md5:d9d9ba0bc045690bbea25fa41f8d831f
7.5 MB Download
md5:6f10e2416f8f6d2fdb62d3a65f2a64b7
6.8 MB Preview Download