Hi all,
I''m searching a prove of a little problem.
You take a four digit number where not all digits are equal such 5957 and
reorder the digits
such that the biggest digit is at the first place, the second at the second
place etc.
Then subtract the smallest possible reoredering from the the other number
and restart the process.
As result you will get 6174.
Example: 5957
9755-5579=4176; 7641-1467=6174; 7641-1467=6174
If you take a five digit number, the result will be a period of 74943,
62964, 71973, 83952.
With six digits it will be a period too.
Have anyone got a prove tor that?
regards
Cyril
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