2015 Sum Sequences

Number Theory Level 2

We can represent the number \(2014\) in various ways as the sum of positive consecutive integers:



The sum of consecutive integers with the highest number of terms that result in \(2014\) is:


We need to add up \(53\) consecutive numbers to get \(2014\).

What is the highest number of positive consecutive integers that we can add to get \(2015\).


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