Magic Square Checker Calculator

Work out magic square checker instantly with clear inputs, formula shown and shareable results.

About Magic Square Checker Calculator

A magic square has every row, column and both main diagonals summing to the same constant. For a normal square using 1 to n² that constant must be n(n² + 1)/2.

Formula

Magic constant

M = n(n² + 1) / 2 for a normal magic square

Worked example

With the default values below, Magic Square Checker Calculator returns Result of This is a magic square with constant 15. Change any input above and every figure here is recalculated in your browser.

Inputs used

Grid values row by row: 2,7,6 9,5,1 4,3,8
Grid sizeaccepts 2–10: 3

Results

Result: This is a magic square with constant 15
Line total found: 15.0000
Expected total for 1 to n²: 15
Diagonal sums: 15 and 15

Step by step

1Values used
2Magic constant
3Result= This is a magic square with constant 15
4Line total found= 15.0000
5Expected total for 1 to n²= 15
6Diagonal sums= 15 and 15

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Is 2,7,6 / 9,5,1 / 4,3,8 magic?

Yes. Every line sums to 15, which matches 3 × 10 / 2 — this is the Lo Shu square.

Does a 2 × 2 magic square exist?

Not a normal one. The constraints force all four entries equal, so distinct values 1 to 4 cannot work.