Peragon

# This my solution to problem 1
number = int(raw_input('What prime would you like to find? ')
list_of_primes = [2]
number_of_primes = 1
testing_number = 3
def primality(n):
	for a in list_of_primes:
		if n % a == 0:
			return False
	return True
while number_of_primes <= number-1:
	if primality(testing_number) == True:
		list_of_primes.append(testing_number)
		number_of_primes += 1
		testing_number += 2
	else:
		testing_number += 2
# Here is problem 2
from math import *
while continuity == False:
	def generate_primelist(z):
		list_of_primes = [2]
		number_of_primes = 1
		testing_number = 3
		def primality(n):
			for a in list_of_primes:
				if n % a == 0:
					return False
			return True
		while list_of_primes[-1] != z:
			if primality(testing_number) == True:
				list_of_primes.append(testing_number)
				number_of_primes += 1
				testing_number += 2
			else:
				testing_number += 2
		return list_of_primes
	def take_log(list_of_primes):
		sum_of_logs = 0
		for a in list_of_primes:
			sum_of_logs += log(a)
		return sum_of_logs
	prime = int(raw_input('Please enter a prime to test: ')
	prime_list_z = generate_primelist(prime)
	prime_log = take_log(prime_list_z)
	print 'Your number is: ', prime
	print 'The natural logarithm of all the primes up to your number is : ', prime_log
	print 'The ratio of these two quantities is: ', prime_log/n, '\n'
	continuity = 'Do you wish to continue? y/n: '
	if continuity == y:
		continuity == True
	else:
		continuity == False

first_name = raw_input('What is your first name? ')
last_name = raw_input('What is your last name? ')
print first_name
print last_name