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Your best route would be to learn some Python before dealing with Sage. Think Python is a nice introductory book: https://greenteapress.com/wp/think-python-2e/

As for you specific questions, this seems to answer your first question:

divisors(36)[4]^2

and the second one can be answered with two loops and is_prime() function - like:

for y in range(6):
    for z in range(x,x+101):
         if is_prime(3^z + 2*y):
              # do what you want

Your best route would be to learn some Python before dealing with Sage. Think Python is a nice introductory book: https://greenteapress.com/wp/think-python-2e/

As for you specific questions, this seems to answer your first question:

divisors(36)[4]^2

and the second one can be answered with two loops and is_prime() function - like:

def mytest(x):
    for y in range(6):
     for z in range(x,x+101):
          if is_prime(3^z + 2*y):
               # do what you want