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Owlet puzzle #102

Released Thursday, October 15, 2026 UTC

8
the answer for puzzle #102

The five clues

  1. A single-digit multiple of four.
  2. The smallest cube greater than 1.
  3. The only Fibonacci number greater than one that is a perfect cube.
  4. The number of pawns each player begins a chess game with.
  5. Equal to 2³ = the sixth Fibonacci number.

Backstory

8 = 2³ = F₆ — a perfect cube and the sixth Fibonacci number. By Bugeaud–Mignotte–Siksek (2006), building on Cohn's 1964 squares result, the only nontrivial perfect powers among Fibonacci numbers are F₆ = 8 and F₁₂ = 144. So 8 is the unique Fibonacci cube greater than one.

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