Published July 20, 2026 | Version v1

Higher-Order Block-Structured Prime Magic Squares of Order 960: Multiples of 12 with Blocks of Order 3

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

Description

This work brings prime magic squares of order 960. All the prime numbers are distinct. This prime magic square is block-structured with equal sums prime magic squares of order 12. Each block of order is composed of different sums prime magic squares of order 3. This work is studied in six levels. These levels are based on the prime constants. The prime constant consideres are C0:=499,979, C1:=1,000,003, C2:=2,000,003, C3:=3,000,017, C4:=10,000,019 and  C5:=50,000,017. These prime constants results in prime magic squares of orders 132, 156, 180, 192, 468 and 960 respectively. These constants are the main points to bring Goldbach prime pairs. These distinct pairs helps in construction prime magic squares. The aim is to bring prime magic squares multiples of different sums prime magic squares of order 3. Equal sums blocks of order 12 are considered to simplify the work. For more studied in prime magic squares refer to author's work in reference list. Two higher-order works on multiples of order 4 and concentric prime magic squares reaching to orders  1220, 1222 and 1223 are also given by the author.

The excel sheets of complete work are also attached

Files

Block-Structured-960.pdf

Files (14.6 MB)

Name Size Download all
md5:98ef86076348bd94d5d3f6c0a5f5839d
13.4 MB Download
md5:24077a0e138c746c43f99b3ef446ba53
1.2 MB Preview Download