Number Lists
Square Number List Generator
List perfect squares in a range, or the first N square numbers, ready to export.
Square Number List Generator
Perfect squares 1 to 200
Squares in a value range
Lists perfect squares whose value falls in this range
Or the first N squares
How to use the square number list
- List every perfect square inside a value range, or tick first N to list 1 squared up to N squared.
- Press List square numbers.
- Copy the squares or download them as a CSV.
Squares and the gaps between them
The distance between consecutive squares is never random: it is always the next odd number. That is the flip side of the odd number sum rule, and it is visible in any list this page builds.
| Square | Value | Gap to the next square |
|---|---|---|
| 1 squared | 1 | 3 |
| 2 squared | 4 | 5 |
| 3 squared | 9 | 7 |
| 4 squared | 16 | 9 |
| 5 squared | 25 | 11 |
The gaps 3, 5, 7, 9 are exactly the odd numbers, which is why adding the odds from 1 always lands on a square. The odd number list shows the other half of the pattern.
How to spot a square at a glance
Perfect squares can only end in certain digits. Squaring the digits 0 through 9 leaves final digits of 0, 1, 4, 5, 6 or 9, so no perfect square ever ends in 2, 3, 7 or 8. That single check filters out four out of every ten candidates instantly, a classic trick for mental maths and for validating data. A second quick test: the digit sum of a square always reduces to 1, 4, 7 or 9.
Where square numbers turn up
Squares are areas: a chessboard is 8 squared cells, a hundred square teaching grid is 10 squared, and pixel dimensions like 512 by 512 are squares of powers of two. They also anchor the distance formula, since Pythagoras adds two squares to make a third in right triangles such as 3, 4, 5, where 9 plus 16 equals 25. A list of squares is the reference column for all of it.
Popular generators
Frequently asked questions
What is a square number
A square number is a whole number multiplied by itself, such as 1, 4, 9, 16 and 25. They are also called perfect squares.
Can I list squares in a value range
Yes. Set a lowest and highest value and the tool lists every perfect square whose value falls inside that range.
Can I list the first N squares
Yes. Tick the first N option and set N, and the tool lists 1 squared up to N squared in order.
How many squares can it show
Up to 5000, which is far more than most worksheets or references need.
Is it free
Yes, free and with no sign up. Everything runs in your browser and nothing you enter leaves your device.
Related generators
- Number List Generator
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- Odd Number List Generator
- Square Number List Generator
- Random Prime Number Generator
- Fibonacci Number Generator
- Random Number Table Generator
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For other sequences see the number list generator and the Fibonacci generator, or list primes.