Square Numbers

Pick a value to view its full reference table.

1 squared equals 1. Squares appear in area calculations, the Pythagorean theorem, and statistics (variance uses squared distances).

A square number is what you get when equal counts multiply: n² counts the unit squares that fill an n by n grid. The squares grow by the odd numbers — each new square adds the next odd step — which is the trick behind quick mental squares. They power the Pythagorean theorem, variance in statistics, and the quadratic formula; every value page also records the modular fingerprints (remainders mod 9 and final digits) that make squares recognizable at a glance.

All 30 square numbers pages include a full data table, a worked explanation, and related calculators. Start withnumber 1or jump straight to the value you need below.

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