Published July 24, 2026 | Version v1

Higher-Order Block-Structured Prime Magic Squares: Multiples of Orders 11

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

Description

This work bring different ways of representing prime magic squares multiples of order 11. It is based on some central prime constants. These are C0:= 499979, C1:=1000003 and C2:=2000003. The multiple blocks are considered based on these prime constants. Two different types are considered. One type is concentric blocks of order 11, and the second type is prime magic square of order 11 nested with a prime magic square of order 9 composed of different sums prime magic squares of order 3. For each type there are two ways of representations. First, when all blocks are of equal size. Second, when the blocks are of equal sums for the orders 33, 44 and 55 composed of different sums prime magic squares of order 11. Some initial works based  on block-structured and/or  block-bordered prime magic squares for the orders 6 to 51 are given by the author. See the reference list. The higher-order concentric single-layer bordered prime magic squares of orders 1222 and 1223 is given by the author.  A different work for prime magic squares of orders 960, 1220 and  1024 blocks of orders 3 and 4 is also given by the author. See reference list.  For higher-order multiples of 3, 4, 5, 6, 7, 9 and 10 is also done by the author.

Excel sheets of complete work are enclosed.

 

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