2008 ToT Spring Junior A P1 product of consecutive, add 2 digits, perfect square
Source:
March 7, 2020
number theoryconsecutivePerfect Square
Problem Statement
An integer is the product of two consecutive integers.
(a) Prove that we can add two digits to the right of this number and obtain a perfect square.
(b) Prove that this can be done in only one way if