Whats the smallest number ("the magic number") that can satisfy these conditions?

- its positive

- it is not divisible by any number below 20 (excluding 1)

- the average of the digits is an even number between 3 and 9

(In reply to couriosity by Pieater)

37 does not work because the average of 3 and 7 is 5, which is not "an even number between 3 and 9"

as for 17 (which has already been pointed out), it is divisible by 17, a number below 20

a side note: i would replace any instance of the word "number" in the original puzzle with "integer"

Posted by hal on 2007-04-20 01:08:44