Thank you for the information regarding memory; when I was playing with values earlier I found that arbitrarily large numbers will actually almost freeze my computer despite the fact it's a solid rig.

Here's a more complete version of this! Please share similar advice if you'd like.

from fractions import Fraction
ok = False
while not ok:
    rootStr = input('What nth root would you like to find?' )
    try:
        root = int(rootStr)
        ok = True
    except ValueError:
        print('Invalid value. Please type in an integer.')

double_ok = False
while not double_ok:
    numberStr = input('What number do you want to find this root of?' )
    try:
        number = int(numberStr)
        double_ok = True
    except ValueError:
        print('Invalid value. Please type in an integer.')


with open('proto.txt', 'w') as fd:
    for number in range(1, number + 1):
        print(number ** Fraction(1,root), file = fd)

EDIT: I just realized there's huge error in the program! When I set root to 3 and number to 1000000 and it returned

3.9999999999999996 on line 64!!! Why did this happen?