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Let S = 1 + 2 + 3 + 4 + ... + 209 + 2010 + 2011 + ... + 4000. What is the residue of S, modulo 2010?

 Oct 28, 2022
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[4000  *  4001] / 2 = 8,002,000

 

8,002,000 mod 2010 = 190 - the remainder 

 Oct 28, 2022

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