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169 (Posted on 2004-11-04) Difficulty: 4 of 5
Find all integers 1<=k<=169 for which 169 is not the sum of k nonzero squares.

The squares are not necessarily unique. For example k=5: 169=1+4+4+16+144.

This should be done without a brute force program.

See The Solution Submitted by Brian Smith    
Rating: 2.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
the solution | Comment 11 of 13 |

There is no solution, for the for whatever k equals, the square of 1 could be added that many times to reach that number.

 

For example: 7...1+1+1+1+1+1+1


  Posted by sean on 2004-11-08 20:02:25
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