The roots of the polynomial \[x^3 - 52x^2 + 581x - k\]are distinct prime numbers. Find $k.$
Question:
The roots of the polynomial \[x^3 - 52x^2 + 581x - k\]are distinct prime numbers. Find $k.$
Answer:
Let's think step by step.

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The roots of the polynomial \[x^3 - 52x^2 + 581x - k\]are distinct prime numbers. Find $k.$
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