Owlet puzzle #108
Released Wednesday, October 21, 2026 UTC
105
the answer for puzzle #108
The five clues
- A three-digit multiple of thirty-five.
- A three-digit sphenic number (three distinct prime factors).
- A triangular number: T₁₄.
- Composite and squarefree.
- T₁₄ via 14·15/2 — product of the first three odd primes: 3·5·7.
Backstory
105 = 3 · 5 · 7 = T₁₄ is the smallest positive integer that is a product of three consecutive odd primes. As the fourteenth triangular number it equals C(15,2), and it's a sphenic number (three distinct primes) whose totient φ(105) = 48.
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