Owlet puzzle #16
Released Tuesday, July 21, 2026 UTC
30030
the answer for puzzle #16
The five clues
- A five-digit even number.
- The product of a run of the very smallest primes.
- A squarefree number that is the product of consecutive primes starting from 2.
- Called the primorial of 13, written 13#.
- The smallest number divisible by every prime up to 13.
Backstory
30030 = 13# = 2·3·5·7·11·13 is the sixth primorial — the product of the first six primes. Primorials serve as building blocks in Euclid's proof of infinite primes and in constructing prime gaps: 30030 + k is composite for 2 ≤ k ≤ 13.
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