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AMO 2027 Grades 8-9 SET 5 - Self-study Question 13

AMO · AMO 2027 Grades 8-9 SET 5 - Self-study

Question 13

Determine the of non–negative integer $M$ that satisfies exactly three of the four statements below.

(1) $M$ is prime.

(2) $M+3$ is prime.

(3) $1<\sqrt M<8$.

(4) $M+5$ has an odd number of factors.