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Squares needing 2 digits only (Posted on 2018-10-21) Difficulty: 4 of 5
List all perfect square numbers over 1000, employing only 2 different decimal digits. Example: 88^2=7744 will be on your list.

Ignore trivial solutions like 1 or 4 or 9 followed by an even number of zeroes.

How far can you go?

Known largest solution is a 10-digit number 6,661,661,161.

See The Solution Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
note Comment 3 of 3 |
From https://oeis.org/A018884:  No other terms below 10^41.  The sequence is probably finite.

Not that the second sentence follows from the first.




  Posted by xdog on 2018-10-23 14:56:19
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