diff --git a/5-rsa/alice.rb b/5-rsa/alice.rb
index 82f0c90..422a367 100755
--- a/5-rsa/alice.rb
+++ b/5-rsa/alice.rb
@@ -15,25 +15,30 @@ sock = TCPSocket.new("localhost",3000)
 puts sock.gets
 
 # Generate public and priv key
-while true
-  p = generatePrime(100)
-  q = generatePrime(100)
-  if primalityTest(p) && primalityTest(q)
-    break
+def generateKeys
+  while true
+    p = generatePrime(4096)
+    q = generatePrime(4096)
+
+    n = p * q
+    phi = (p-1)*(q-1)
+
+    e = SecureRandom.random_number(0..phi)
+
+    d = reciprocal_Phi_p(e,phi)
+
+    if primalityTest(p) && primalityTest(q) && nwd(e,phi) == 1 && d > 1
+      break
+    end
   end
+
+  return [n,e,d]
 end
 
-n = p * q
-phi = (p-1)*(q-1)
-
-while true
-  e = SecureRandom.random_number(0..phi)
-  if nwd(e,phi) == 1
-    break
-  end
-end
-
-d = reciprocal_Phi_p(e,phi)
+keys = generateKeys
+n = keys[0]
+e = keys[1]
+d = keys[2]
 
 pubKey = [n,e]
 privKey = [n,d]