AKS Primarility Test

Python/AKS_Primarility_test.py

@@ -0,0 +1,49 @@
+c = [0] * 100; 
+
+# function to calculate the  
+# coefficients of (x - 1)^n -  
+# (x^n - 1) with the help 
+# of Pascal's triangle . 
+def coef(n): 
+    c[0] = 1; 
+    for i in range(n): 
+        c[1 + i] = 1; 
+        for j in range(i, 0, -1): 
+            c[j] = c[j - 1] - c[j]; 
+        c[0] = -c[0]; 
+
+# function to check whether 
+# the number is prime or not 
+def isPrime(n): 
+
+    # Calculating all the coefficients 
+    # by the function coef and storing 
+    # all the coefficients in c array . 
+    coef(n); 
+
+    # subtracting c[n] and adding  
+    # c[0] by 1 as ( x - 1 )^n -  
+    # ( x^n - 1), here we are  
+    # subtracting c[n] by 1 and  
+    # adding 1 in expression. 
+    c[0] = c[0] + 1; 
+    c[n] = c[n] - 1; 
+
+    # checking all the coefficients  
+    # whether they are divisible by  
+    # n or not. if n is not prime,  
+    # then loop breaks and (i > 0). 
+    i = n; 
+    while (i > -1 and c[i] % n == 0): 
+        i = i - 1; 
+
+    # Return true if all coefficients  
+    # are divisible by n. 
+    return True if i < 0 else False; 
+
+# Driver Code 
+n = 37; 
+if (isPrime(n)): 
+    print("Prime"); 
+else: 
+    print("Not Prime");