Math Q&A challenge (Part 11)

Denis

Math Team
Oct 2011
14,592
1,026
Ottawa Ontario, Canada
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
Jul 2011
3,372
234
North America, 42nd parallel
This is interesting , I'll make the frst submission.

How about 9880013571357 ?

:)
 

Denis

Math Team
Oct 2011
14,592
1,026
Ottawa Ontario, Canada
Good try Agent...there is a higher number.
 

Denis

Math Team
Oct 2011
14,592
1,026
Ottawa Ontario, Canada
Looked at both links. What do I not see? :(
 

agentredlum

Math Team
Jul 2011
3,372
234
North America, 42nd parallel
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.

:)
 

mathbalarka

Math Team
Mar 2012
3,871
86
India, West Bengal
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?
 
Sep 2012
764
53
British Columbia, Canada
And it looks like we forgot to post the rules AGAIN. :evil:

:p
 
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