Published July 17, 2026 | Version v2

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 1220. All the prime numbers are distinct. This prime magic square is block-structured with equal sums prime magic squares of order 4. This work is studied in levels. Before bring prime magic square of order 1220, we brought first the prime magic squares of orders 112, 120, 160, 324, 484, 656, 986 and then 1220. These are based on the prime constants C0:=499979, C1:=1000003,  C2:=2000003, C3:=10000019, C4:=25000009, C5:=50000017, C6:=100000007 and C7:=199999991 respectively . The idea of studying first the lower orders is that we are able to bring magic squares with less sums. In each case the magic sum of order 4 is different, and go on increases as the constant values increases. In this way it gives higher order prime magic squares. It revised version of author's previous. In this work, magic squares based on the prime constant C0:=499979 are added for the first time.

Excel files of complete work are attached.

Files

Block-Structured-1220.pdf

Files (36.7 MB)

Name Size
md5:da516e43966150f77d16708d95dd3456
7.6 MB Download
md5:7284fb689faabba48ec5d541ee805002
14.7 MB Download
md5:d9d9ba0bc045690bbea25fa41f8d831f
7.5 MB Download
md5:f89cbcb2be9b091746abc57b0e3561b2
6.9 MB Preview Download