Sum of 2 Squares in 3 Distinct Ways/Examples/325

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

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Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $325$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $325$