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+import PIL, math
+
+#Problem 10 sum of primes
+###INEFFICIENT###
+#def isPrime(number):
+# if (number <=1):
+# return False
+# for i in range(2,number):
+# if(number%i==0):
+# return False
+# return True
+
+#def prime_factors(number):
+ #primes = []
+ #for i in range(number, 2, -1):
+ #if(number%i==0):
+ #if (isPrime(i)):
+ #return i
+ #return primes
+
+
+
+def prime_factors(number):
+ primes = []
+ if (number <=1):
+ return [1]
+ a = [1] * number
+ a[0]=0
+ a[1]=0#not prime
+ for i in range(2,int(math.ceil(math.sqrt(number)))):
+ if(a[i]==1):
+ j = i**2 #cross out all the multiples
+ while(j < number):
+ a[j] = False
+ j+=i
+
+ for k in range(2, number):
+ #is prime
+ if(a[k]==1):
+ primes.append(k)
+ return primes
+
+out = prime_factors(2000000)
+print(str(sum(out)))