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Power Difference (Posted on 2011-11-06) Difficulty: 3 of 5
Determine, with proof, the minimum positive value of 33m - 7n, where each of m and n is a positive integer.

No Solution Yet Submitted by K Sengupta    
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Possible solution | Comment 3 of 5 |

33^m mod 48=33

7^n mod 48 = {1,7}

So the minimum positive value of the difference is either 32, or it is 26. Since 26 is less than 32, the answer is 26.

Edited on November 6, 2011, 1:55 pm
  Posted by broll on 2011-11-06 13:51:34

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