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In: Advanced Math

We know that 1 + 2 + 3 = 1 · 2 · 3, that is,...

We know that 1 + 2 + 3 = 1 · 2 · 3, that is, there exist three positive integers whose sum equals their product.

Prove or disprove: There exist twenty positive integers (not necessarily distinct) whose sum equals their product.

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