Lagrange's Four Square Theorem/Examples/59

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)
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