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AMO 2027 Grades 8-9 SET 12 - Self-study Question 5

AMO · AMO 2027 Grades 8-9 SET 12 - Self-study

Question 5

If $p$ is a prime number, then which of the following is NOT ALWAYS true?
  1. The number $2\times p$ is an even number.
  2. The number $p\times p$ is not a prime number.
  3. The number $2\times p+3$ is an odd number.
  4. The number $3\times p+p$ is not a prime number.
  5. The number $p+1$ is an even number.