Consider a base-N nonzero perfect square of the form X₁X₁X₂X₂, where X₁ and X₂ are base-N digits whether same or different.

Derive a general formula that expresses X₁X₁X₂X₂ in terms of N, where N is an integer > 3.

*** X₁X₁X₂X₂ is a concatenation of the digits and not the product.

Missed this condition in original problem text.

"X1 and X2 are nonzero digits"

Edited on July 13, 2016, 1:37 pm

Edited on July 13, 2016, 1:42 pm

Posted by K Sengupta on 2016-07-13 13:36:41