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What's My Number?

Puzzle 8

Difficulty:
Fun:
(based on 37 votes)

I am thinking of a whole number between 1 and 20, inclusive.
  • The ratio of my number to 8 is less than the ratio of 17 to my number.
  • Three times my number is less than half the square of my number.
  • The absolute difference between my number and the next highest square number is less than the absolute difference between my number and the next highest prime number.
  • My number is less than the only other number that fits all of the above requirements.

What is my number?

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