# Math Q&A challenge (Part 11)

#### Denis

Math Team
You have an integer number where any digit appears at most twice.
The sum of all neighboring four digits in this number is a square.

Example: 205290 is such a number because no digit appears more
than twice, and 2+0+5+2, 0+5+2+9, and 5+2+9+0 are squares.

What is the maximum possible value for this number?

#### agentredlum

Math Team
This is interesting , I'll make the frst submission.

#### Denis

Math Team
Good try Agent...there is a higher number.

Math Team

#### Denis

Math Team
Looked at both links. What do I not see?

#### agentredlum

Math Team
CRG gave me a 'ribbing' using Mario so I countered with Wario... you have to know about video game plumbers ... and bizzarro characters of a stienfool universe ...

Don't worry, you didn't miss anything important.

I tried a few more but can't get a bigger number.

Forum Staff
81978100367936

#### mathbalarka

Math Team
skipjack said:
81978100367936
That's what I get. I believe it's optimal, though I would wait for Denis's approval.

By the way, skipjack, if you don't have any question to ask then just pass it to someone for the game to continue, ok?

#### eddybob123

And it looks like we forgot to post the rules AGAIN. :evil:

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