# A problem by Jason Sebastian

Level pending

Let a number be $$terryfic$$ if it can be expressed as $$a^3+b^3+c^3$$, where $$a$$, $$b$$ and $$c$$ are distinct positive integers. There are $$N$$ $$terryfic$$ numbers between 1 and 2014 inclusively.

What are the last three digits of $$N + 437$$?

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