Problems & Puzzles: Puzzles

Puzzle 733. Integers equal to the sum of the squares of their prime divisors. My friend Frank Rubin asks in one of his interesting pages: "Which whole numbers are equal to the sum of the squares of their prime divisors? For example, 16=2×2×2×2=2²+2²+2²+2² and 27=3×3×3=3²+3²+3²." Q. Can you find a third solution or prove that no more solutions exist?

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