Question 10
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?
**Editorial note for this self-study exercise:** Use prime digits 2, 3, 5, 7 and square digits 0, 1, 4, 9 (including zero as 0 squared). The third digit must be from 6, 8. Enter the three-digit number.
• 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?
**Editorial note for this self-study exercise:** Use prime digits 2, 3, 5, 7 and square digits 0, 1, 4, 9 (including zero as 0 squared). The third digit must be from 6, 8. Enter the three-digit number.