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Friday the Thirteen

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This is a mathematical problem, one that I devised some years ago, that I remembered recently. It might be of interest to those fond of mathematical challenges.

The question is as follows:

Find the sum of all numbers, such that, after 13 steps, which can be any of the following:

  • Add 13 to the current number
  • Subtract 13 to the current number
  • Multiply the current number by 13
  • Divide the current number by 13
  • Raise the current number to the power of 13
  • Raise the current number to the power of -13

That the final number be of the same value of the original number


  • The most elegant solution submitted within one week's time will be rewarded with 1 GC
  • All other correct answer will be rewarded with 3 SC
  • Reward may increase if there's anyone willing to sponsor this quest
Edited by fallen god
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