Ok it's pretty easy :1) All the #'s with odd #'s at the end like 1,3,5,7,9 are prime(ALSO!! 2 is the only even # that is couted as a prime # IDK why ask your teacher.)
2) all the prime #'s are 01,...
I can't give a good way to remember prime numbers based on their name, but for square numbers, you can just remember it as a figure: You can think of numbers as a collection of dots, so 1 = * 2 = * *...