n × n · a + (k−1)d · a·r^(k−1)

Magic square generator

Build a magic square of order 3 to 8 from any starting number, with an optional common difference (arithmetic) or common ratio (geometric).

Order (N × N)

Starting number (a)

Sequence Consecutive integers a, a+1, a+2, … (difference fixed at 1) Arithmetic a, a+d, a+2d, … — choose a common difference Geometric a, a·r, a·r², … — choose a common ratio

M Magic constant (sum) —

✓ every row, column & diagonal agrees

↘ — ↙ —

diagonal cell row / column / diagonal total