🦉 Owlet

← Back to archive

Owlet puzzle #26

Released Friday, July 31, 2026 UTC

91
the answer for puzzle #26

The five clues

  1. A two-digit semiprime whose smallest prime factor is at least seven.
  2. Looks prime, but isn't.
  3. Its digit sum is ten — a two-digit number often mistaken for prime.
  4. Its factorization is 7 · 13.
  5. Also the smallest pseudoprime to base 3.

Backstory

91 = 7 · 13 is the classic trap of eye-primality: its factors are both prime and easy to miss. It's also the sum of two positive cubes (3³ + 4³ = 27 + 64 = 91), and equals T₁₃ = 1+2+…+13, making it a triangular semiprime.

▶ Play puzzle #26 in practice mode

Or try today's fresh puzzle · Browse the full archive

More puzzles