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MathNet 2008-part-03 — 165 problems (EN–VI) Question 113

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 113

What is the remainder when the sum
$$
1^{5}+2^{5}+3^{5}+\cdots+2007^{5}
$$
is divided by $5$?