Lagrange's Four Square Theorem/Examples/59
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Example of Use of Lagrange's Four Square Theorem
$59$ can be expressed as the sum of $4$ squares thus:
| \(\ds 59\) | \(=\) | \(\ds 7^2 + 3^2 + 1^2 + 0^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 5^2 + 5^2 + 3^2 + 0^2\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 5^2 + 4^2 + 3^2 + 3^2\) |
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Lagrange's theorem: 1. (J.L. Lagrange, 1772)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Lagrange's theorem: 1. (J.L. Lagrange, 1772)