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Advanced Problems

Abstract

1.
  • Prove that the sum of the squares of 3, 4, 5, or 6 consecutive integers is not a perfect square.

  • Give an example of 11 consecutive positive integers the sum of whose squares is a perfect square.

Keywords

Positive Integer Prime Divisor Winning Strategy Balance Scale Fermat Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2007

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