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A square 2 (Posted on 2022-11-26) Difficulty: 3 of 5
A number AABCBC is the square of an integer. Find all possible values of AABCBC.

No Solution Yet Submitted by Math Man    
Rating: 5.0000 (1 votes)

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Some Thoughts Puzzle Thoughts Comment 8 of 8 |
There can be five answers: 
These are:
228484 (478^2)
316969 (563^2)
332929 (577^2)
452929 (673^2)
776161 (881^2)

So, the maximum such number is 776161 and the minimum such number is 228484.

I tried solving this semi-analytically. It is too unwieldy, ungainly, and cumbersome to posit it here.

Edited on January 31, 2023, 2:00 am
  Posted by K Sengupta on 2023-01-31 01:59:48

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