Sum of 2 Squares in 3 Distinct Ways/Examples/325
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Example of Sum of 2 Squares in 3 Distinct Ways
$325$ is the smallest positive integer which can be expressed as the sum of two square numbers in three distinct ways:
\(\ds 325\) | \(=\) | \(\ds 18^2 + 1^2\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 17^2 + 6^2\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 15^2 + 10^2\) |
Proof
This theorem requires a proof. In particular: To be demonstrated that this is the smallest such. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $325$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $325$