Lottery Numbers 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.