MathDB
A+2B+4 is a perfect square

Source: JBMO 2003, Problem 1

October 10, 2005

Problem Statement

Let nn be a positive integer. A number AA consists of 2n2n digits, each of which is 4; and a number BB consists of nn digits, each of which is 8. Prove that A+2B+4A+2B+4 is a perfect square.
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