statement.html

problem 9 · 6 lines

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<p>A Pythagorean triplet is a set of three natural numbers, $a \lt b \lt c$, for which,
$$a^2 + b^2 = c^2.$$</p>
<p>For example, $3^2 + 4^2 = 9 + 16 = 25 = 5^2$.</p>
<p>There exists exactly one Pythagorean triplet for which $a + b + c = 1000$.<br/>Find the product $abc$.</p>
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