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What's My Number?

Puzzle 9

Difficulty:
Fun:
(based on 26 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • If my number is greater than 10, then it is even; otherwise, it is divisible by 3.
  • If my number is even, then it is not a square number; otherwise, it is not prime.
  • The two integers closest to mine are not both prime.
  • Of the numbers that fit all of the above requirements, mine is neither the largest nor the smallest.

What is my number?

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