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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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re: No Subject | Comment 10 of 18 |
(In reply to No Subject by Steven Lord)

Yes indeed n=4 is the only square case found below 51 (limit of search being 50):


 n    flag     det                  square root           rounded square root squared

 3 0 8217943780 90652.8751888212313417888 8217966409 

 4 1 16583814616329.0 4072323.0 16583814616329
 
 5 0 33466154331639482 182937569.491997684625234848 33466154151629761 

 6 0 67534699441256611254.0 8217949831.9992566899135579589 67534699441268828224 

Edited on June 15, 2018, 12:18 pm
  Posted by Charlie on 2018-06-15 12:17:21

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