Puzzle 1: 235 numbers

How many tried to solve this?

• Is there a closed form solution? ( $p235(n) = n^3 + 3 n^2 + 4??$)
• Is this similar to finding n-th prime number?

Brute force solution strategy

• Given a number $k$ can we check if it has 235-property?
  • Keep dividing by 2, then by 3 and then by 5 and see if final quotient is 1?
• Start from 1 and check each number for 235-property