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problems/003_problem.py

@@ -8,26 +8,50 @@
 #  factor of the number 600851475143 ?
 #
 import decorators
+import time
 
-def treat_evens(n):
-	mod_is_zero = True
-	done = True
-	dividend = 2
-	while mod_is_zero or done:
-		done = dividend == n
-		num = n/dividend
-		mod_is_zero = 0 == n%dividend
-		dividend *= 2
-	print("{}".format(num))
-	return num
+#def treat_evens(n):
+#	mod_is_zero = True
+#	done = True
+#	dividend = 2
+#	while mod_is_zero or done:
+#		done = dividend == n
+#		num = n/dividend
+#		mod_is_zero = 0 == n%dividend
+#		dividend *= 2
+#	print("{}".format(num))
+#	return num
+
+# Create function that finds the next
+# prime number when supplied with an
+# intitial integer.
+
+def return_next_prime(start_n,max_n):
+
+	start_n += 1
+	for candidate in range(start_n,max_n):
+		notPrime = False
+		
+		if candidate in [0,1,2,3]:
+			yield candidate
+
+		for dividend in range(2,candidate):
+			
+			if candidate%dividend == 0:
+				notPrime = True
+		
+		if not notPrime:
+			yield candidate
 
 @decorators.function_timer
 def main():
 
-	#orig = 600851475143
-	orig = 8
-	num = treat_evens(orig)
-
-	print("Highest prime of 600851475143 is {}".format(num))
+	orig = 600851475143
+	start = 3
+	returned_prime = start
+	while returned_prime < orig:
+		returned_prime = return_next_prime(start,orig).__next__()
+		print("A PRIME HAS BEEN FOUND!!!! ... {}".format(returned_prime))
+		start = returned_prime
 
 main()