# 2015 Sum Sequences

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

$97+98+99+100+...+115=2014$

$502+503+504+505=2014$

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

$12+13+14+15+16+17+...+61+62+63+64$

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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