title: Primality Test Set 5Using Lucas Lehmer Series
signature: class Solution {
  
      public bool PrimalityTestSet5UsingLucasLehmerSeries(int p) {
test_code: using System;
  using System.Numerics;
  using System.Diagnostics;
  using System.Collections.Generic;
  using System.Linq;
  using System.Text;
  using System.Security.Cryptography;
  using System.Web.UI;
  using System.Web.Script.Serialization;
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  namespace EvaluatePrediction {
      class TestRunner {
          public bool ValidateSolution(bool actual, bool expected){
              return new JavaScriptSerializer().Serialize(actual) == new JavaScriptSerializer().Serialize(expected);
          }
  
          public string driver(int p, bool expected){
              try{
                PLACEHOLDER_CLS_NAME solution_cls = new PLACEHOLDER_CLS_NAME();
                bool pred_result = solution_cls.PLACEHOLDER_FN_NAME(p); 
                if (ValidateSolution(
                      pred_result,
                      expected)){
                  return "PASSED";
                }
                return "FAILED";
              } 
              catch (Exception exception_obj)
              {
                return exception_obj.GetType().FullName;
              }
          }
          static void Main(string[] args) {
              TestRunner runner = new TestRunner();
              String result;
              result = runner.driver(
                  11, 
                  false
              );
              Console.WriteLine(string.Format(
                  "TEST-0...{0}",
                  result)
              );result = runner.driver(
                  27, 
                  false
              );
              Console.WriteLine(string.Format(
                  "TEST-1...{0}",
                  result)
              );result = runner.driver(
                  31, 
                  true
              );
              Console.WriteLine(string.Format(
                  "TEST-2...{0}",
                  result)
              );result = runner.driver(
                  47, 
                  false
              );
              Console.WriteLine(string.Format(
                  "TEST-3...{0}",
                  result)
              );result = runner.driver(
                  3, 
                  true
              );
              Console.WriteLine(string.Format(
                  "TEST-4...{0}",
                  result)
              );result = runner.driver(
                  14, 
                  false
              );
              Console.WriteLine(string.Format(
                  "TEST-5...{0}",
                  result)
              );result = runner.driver(
                  41, 
                  false
              );
              Console.WriteLine(string.Format(
                  "TEST-6...{0}",
                  result)
              );result = runner.driver(
                  72, 
                  false
              );
              Console.WriteLine(string.Format(
                  "TEST-7...{0}",
                  result)
              );result = runner.driver(
                  39, 
                  false
              );
              Console.WriteLine(string.Format(
                  "TEST-8...{0}",
                  result)
              );result = runner.driver(
                  22, 
                  false
              );
              Console.WriteLine(string.Format(
                  "TEST-9...{0}",
                  result)
              );
          }
      }
  }
  
source_py: def primality_test_set_5using_lucas_lehmer_series(p):
      checkNumber = ((2 ** p) - 1)
      nextval = (4 % checkNumber)
      for i in range(1, (p - 1)):
          nextval = (((nextval * nextval) - 2) % checkNumber)
      if (nextval == 0):
          return True
      else:
          return False
source_cpp: bool primality_test_set_5using_lucas_lehmer_series(int p) {
    long long checkNumber = pow ( 2, p ) - 1;
    long long nextval = 4 % checkNumber;
    for ( int i = 1;
    i < p - 1;
    i ++ ) nextval = ( nextval * nextval - 2 ) % checkNumber;
    return ( nextval == 0 );
  }