In order to generate more traffic on this blog, I thought I’d occasionally introduce a puzzle for you to work on.

The first puzzle.

Nine digits, other than zero, can be arranged uniquely to form four numbers which are all squares:-

9 (32) | 81 (92) | 324 (182) | 576 (242) |

What is the smallest possible square number comprising all nine digits together, and the largest square number comprising all nine digits together?

Should the squares use the numbers 1 through 9 just once? In other words, should each of the answers sought be exactly 9 digits long?

Correct on both counts. Exactly nine digits long. Each digit may only be used once. Needless to say, the digit zero is not used in this puzzle.

Should I just post the answers here or should I email them to you? I don't want to be a spoiler by posting the answers in the comments for everyone to see.

hey I think u can post the answers now….! 🙂

OK. The answers are 139,854,276 and 923,187,456. The first is 11826^2, and the second number is 30384^2.