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

 Jun 22, 2022
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[4000  x   4001] / 2  mod  2010==190 - the remainder

 Jun 23, 2022

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