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MathNet 2008-part-03 — 165 problems (EN–VI) Question 45

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

Question 45

a) Find the smallest positive integer which multiplied by $2520$ gives the square of a positive integer.

b) Prove that the sum of two consecutive odd integers is divisible by $4$.