Problem:

After a while I set up a conjectures board for the ideas that were being suggested and a list of

There were a few things I noticed.

It was also interesting to look at the range of recording strategies that occurred.

I wonder what was it about this problem that made it interesting enough for people to work on it for so long?

*Can you arrange the numbers 1 to 17 in a row, so that each adjacent pair adds up to a square number?**This is Sticky Numbers from NRICH.*

I shared it in a conference session that I was running, gave people number cards and asked them to try it in groups. When they were sure they had a solution I asked them to find other numbers,

*n,*such that the set of numbers 1 -*n*could be arranged so that each adjacent pair added up to a square number.
I knew it was possible for other

*n*as I had seen this beautiful gif on Mathani's tumblr.After a while I set up a conjectures board for the ideas that were being suggested and a list of

*n*for which the chain is possible.

There were a few things I noticed.

- there was a sense of achievement having completed the first task where
*n*= 17 - people spontaneously came up with their own conjectures
- people were invested in working on their own conjectures

It was also interesting to look at the range of recording strategies that occurred.

I wonder what was it about this problem that made it interesting enough for people to work on it for so long?

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