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AMO 2027 Grades 8-9 SET 7 - Self-study Question 14

AMO · AMO 2027 Grades 8-9 SET 7 - Self-study

Question 14

Larry’s 3-digit number satisfies the following conditions:
- The number is not a multiple of 3.
- Exactly one of the digits is a prime number.
- Another digit is a square number.
- The other digit is neither prime nor square.

What is the largest possible value of Larry’s number?