Square Sum String

Using all of the numbers from 1 to 15, how can you arrange the number so that the sum of neighboring numbers is always a square number?

For example, the string you could have the numbers 8, 1, 3 in a sequence since 8+1=9 (Nine is a square number) and 1+3=4 (Four is a square number).

Up Next Steps

1) What strategy did you deploy to tackle this problem?

2) Can you create a string of 1-16?

3) A string of 1-18 is impossible. How can you prove to someone that this is true?

4) Can you create a string of 1-23?

Check out the video below to see how others investigated this problem.

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