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-import PIL, math
-
-#Problem 7 - 10,001st prime
-
-#returns a list of every prime up to a certain number
-def listprimes(number):
- primes = []
- if (number <=1):
- return [1]
- a = [1] * number
- a[0]=0
- a[1]=0#1 and 0 are not prime
- ##Sieve of eratosthenes
- for i in range(2,int(math.ceil(math.sqrt(number)))):
- if(a[i]==1):
- j = i**2 #cross out all the multiples of i, starting with its square
- while(j < number):
- a[j] = 0
- j+=i
-
- for k in range(2, number):
- #is prime
- if(a[k]==1):
- primes.append(k)
- return primes
-
-out_list = listprimes(1000000)
-#print(out_list)
-#return 10,001th prime factor
-print(out_list[10000])