7 Aug 2013

IrMO 1989 P1 Q4: Upper Secondary Mathematics Competition Question

Note that 122 = 144 ends in two 4's and 382 = 1444 ends in three 4's. Determine the length of the longest string of equal non-zero digits in which the square of an integer can end.

[IrMO 1989 Paper 1 Question 4]

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