1) Take a three-digit number (example: 317). Repeat it, to get a six-digit number (example: 317317). Divide it by 7 (you will get no remainder!). Divide the result by 11 (no remainder!). Now, divide the result by 13 (again, no remainder. Also, you get the original number back, example: 317).
2) Take the "magic number" 142857. Multiply it by several integers, e.g.:
142857 x 2 =
142857 x 3 =
The results are quite interesting; for factors 2-6, you get all the digits of the original number, but in a different sequence.
Hilmar.
Difference in opinions hath cost many millions of lives: for instance, whether flesh be bread, or bread be flesh; whether whistling be a vice or a virtue; whether it be better to kiss a post, or throw it into the fire... (from Gulliver's Travels)
