For what is a square?

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- Jan 15th 2007, 12:17 PMSorobanQuickie #12
For what is a square?

- Jan 15th 2007, 12:41 PMAfterShock
- Jan 15th 2007, 12:47 PManthmoo
I have a feeling 20 is one...

- Jan 15th 2007, 12:50 PMAfterShock
- Jan 16th 2007, 11:25 AMSoroban
Hello, AfterShock!

You found the*only two*solutions . . .

Note that squares must end in:

List the first few sums:

Since all end in ,

. . all subsequent sums will end in

. . and hence cannot be squares.

Therefore: are the only solutions.