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1+4=5 (Posted on 2016-03-28) Difficulty: 2 of 5
The sum of the squares of the first n positive integers is always a composite number, except the case of n=2.

Prove it.

  Submitted by Ady TZIDON    
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Solution: (Hide)
Since S=n*(n+1)*(2n+1)/6 - it is easy to see that for n>2 S is composite.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionNo SubjectBrian Smith2016-03-28 13:00:37
Some Thoughtsa trivial disclaimerAdy TZIDON2016-03-28 08:54:32
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