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+import PIL
+import 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])