A teacher posted this to a class: There is a prime number between 4 and 50, about which i will answer three yes or no questions. After I have given the answers to your questions, you should not be able to determine the number. The class asked, Is it more than a multiple of 3? Is it 1, 2, or 3 more than a perfect square? Is the sum of its digits odd? The answers were yes, no and yes. What is the number?

Question

A teacher posted this to a class: There is a prime number between 4 and 50, about which i will answer three yes or no questions.  After I have given the answers to your questions, you should not be able to determine the number.  The class asked, Is it more than a multiple of 3? Is it 1, 2, or 3 more than a perfect square? Is the sum of its digits odd? The answers were yes, no and yes.  What is the number?

anonymous · Answer

There is no prime number that matches those criteria. That is unless you use non whole numbers.

anonymous · Answer

Thank you!