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Lottery Numbers Math Puzzle

Find the integers to solve this math puzzle.

Every week you play the lottery and you always play the same number. To play you pick six integers between 1 and 49, inclusive.

The numbers you pick have these properties:

The difference between any two of the six numbers is different from the difference between any other pair.

Due to a childhood trauma, you have a fear of prime numbers, consequently

  • None of the six numbers is prime.
  • None of the digits in the six numbers is prime.
  • None of the differences between any two of the six numbers is prime.

The number 1, of course, is not prime.

What six numbers do you play?

-- New Scientist

Click to find the answer to this math puzzle.

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