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MathNet 2008-part-03 — 165 problems (EN–VI) Question 56

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

Question 56

Is the sum $1^{2008} + 2^{2008} + 3^{2008} + 4^{2008} + 5^{2008} + 6^{2008}$ divisible with $5$? Explain your answer.