## Can we form a magic square out of the first 9 prime numbers?

A smallest order-3 consecutive primes magic square could be constructed with the nine prime series starting with 99 67943 20667 01086 48449 06536 95853 56163 89823 64080 99161 83957 74048 58552 90714 75461 11479 96776 94651. This series also has a difference of 210 between successive primes.

**Is a magic square always 15?**

Magic Squares are square grids with a special arrangement of numbers in them. These numbers are special because every row, column and diagonal adds up to the same number. So for the example below, 15 is the magic number. The “order” of a magic square tells how many rows or columns it has.

**How do you calculate a magic square?**

1 Method 1 of 3: Solving an Odd-Numbered Magic Square

- sum =
- sum =
- sum =
- sum = 15.
- Hence, the magic constant for a 3×3 square is 15.
- All rows, columns, and diagonals must add up to this number.

### What are the magic prime numbers?

It is possible to construct a magic order-5 star using prime numbers. The minimal solution uses the following 10 prime numbers : 5, 7, 11, 13, 17, 19, 23, 31, 41, 43. Note that the primes 3, 29 and 37 are missing from this series. The only even prime number, 2, of course cannot be included because of parity.

**Are there infinitely many Magic Squares?**

Now the infinite square (∞) is indeed an infinite magic square as the series in every row, column and diagonal are equal (in above sense) to the magic constant M = 0. n0 = 1 + ζ(0) + ζ(0) = 0. Thus, it is also an infinite magic square.

**Is it possible to place the numbers 1 2 3 9 one on each square of a 3 by 3 grid so that the diagonals as well as all the rows and columns add up to prime numbers?**

Show that it is impossible to place the numbers 1, 2, 3,…, 9 one on each square of a 3 by 3 grid so that the diagonals, as well as all the rows and columns, add up to prime numbers….Age 7 to 16. Challenge Level.

2 | 3 | 8 |
---|---|---|

5 | 1 | 7 |

6 | 9 | 4 |

#### What is a square number grid?

A number square is a grid filled with a set of numbers that can help children with a variety of mathematical concepts, including times tables and decimal numbers. Colouring in the multiples of 2 in a number grid can help children notice a pattern, like the diagonal pattern in the grid opposite.

**Can you repeat numbers in a magic square?**

Notice that each number from 1 to 9 is used once. If you could repeat numbers, many magic squares would become trivially easy, like a grid made entirely of 1s that added up to 3! There’s nothing amazing about that. Explain the basic idea behind a magic square; that every column and row adds up to the same number.