Maths Olympiad Prep

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, 2019

Number theory Difficulty 2.6 Junior Find the answer Netherlands

We compute the square of each of the numbers from 11 to 20192019. We take the last digit from each of the resulting squares, and then we add those 20192019 digits together.
What number do we get?

A number or a short expression. Spacing and $ signs are ignored.

Solution

9090

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