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Looking for a square result (Posted on 2018-06-14) Difficulty: 3 of 5
For each positive integer n, let Mn be the square matrix (nxn) where each diagonal entry is 2018, and every other entry is 1.

Determine the smallest positive integer n (if any) for which the value
of det(Mn) is a perfect square.

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re: form of the determinants | Comment 2 of 18 |
(In reply to form of the determinants by Steven Lord)

seems for d=2018 n=4 and n=5, det(Mn) are in fact squares:

4072324^2 and 182937568^2
(computer solution) 
I think I need practice finding the roots of polynomials.....

  Posted by Steven Lord on 2018-06-15 02:32:50
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