Sum of Squares Calculator (1² to n²) Table: Sum of squares by Up to n
Reference table of sum of squares for Sum of Squares Calculator (1² to n²) across a range of up to n values — exact, engine-computed figures you can read off at a glance.
Sum of Squares Calculator (1² to n²)
Verified formula Updated Jun 2026 Private — runs on your device
Verified formula
Private
Sum of squares
55
For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.
How to use the Sum of Squares Calculator (1² to n²)
The Sum of Squares Calculator (1² to n²) works out your sum of squares in an instant. Enter up to n and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.
- Enter the up to n.
- Read off your sum of squares — the calculator updates automatically, with no button to press.
Formula
The Sum of Squares Calculator (1² to n²) uses the formula:
Sum of squares = Up to n × (Up to n + 1) × (2 × Up to n + 1) ÷ 6
Worked example
For example, with up to n of 5, the sum of squares is 55.
| Up to n | 5 |
|---|
| Sum of squares | 55 |
|---|
Results are estimates for educational use, not professional advice.
Frequently asked questions
It is n(n+1)(2n+1) ÷ 6. For n = 5, the squares 1, 4, 9, 16, 25 sum to 55.
It gives the total instantly without adding each square one by one.
10 × 11 × 21 ÷ 6 = 385.
Statistics, series and physics often need the sum of squared values.
Enter the up to n. Read off your sum of squares — the calculator updates automatically, with no button to press.
Related guides
How to Calculate Sum of Squares Calculator (1² to n²): Formula, Steps & Examples
Learn how to calculate Sum of Squares Calculator (1² to n²) — the formula explained step by step, with worked examples and a free calculator to check your answer.