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63 Division Decision (Posted on 2016-11-10) Difficulty: 3 of 5
N is a positive integer which is expressible as the sum of cubes of two positive integers.
Given that N is not divisible by 9, find the possible remainders when N is divided by 63.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
63+/- {1,2,7,8,16,19,20,26,28,29} are the exhaustive list of solutions.

For an explanation, refer to the analytical solution submitted by broll in this location
and computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/Tipsre(2): computer solution - observationAdy TZIDON2016-11-10 22:52:21
Solutionre: computer solutionbroll2016-11-10 21:46:05
Solutioncomputer solutionCharlie2016-11-10 12:42:32
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