diff --git a/algorithms/dynamic_programming/SieveOfEratosthenes.py b/algorithms/dynamic_programming/SieveOfEratosthenes.py
new file mode 100644
index 00000000..e195ab55
--- /dev/null
+++ b/algorithms/dynamic_programming/SieveOfEratosthenes.py
@@ -0,0 +1,22 @@
+def sieve_of_eratosthenes(n): 
+ 
+    prime = [True for i in range(n+1)] 
+    p = 2
+    while (p * p <= n): 
+           
+        if (prime[p] == True): 
+              
+            # Update all multiples of p 
+            for i in range(p * 2, n+1, p): 
+                prime[i] = False
+        p += 1
+
+    for p in range(2, n): 
+        if prime[p]: 
+            print (p), 
+ 
+if __name__=='__main__': 
+    n = 30
+    print ("Following are the prime numbers smaller"), 
+    print ("than or equal to", n )
+    sieve_of_eratosthenes(n) 
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