title: Primality Test Set 5Using Lucas Lehmer Series
signature: function primalityTestSet5UsingLucasLehmerSeries($p) {
test_code: <?php
  
  
  // SOLUTION CODE 
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  function validateSolution($actual, $expected){
      return serialize($actual) == serialize($expected);
  }
  
  function driver($p, $expected){
      try{
        if (validateSolution(PLACEHOLDER_FN_NAME($p), $expected)){
          return "PASSED";
        }
        return "FAILED";
      }
      catch (Exception $exception_obj) {
        return get_class($exception_obj);
      }
  }
  
  function main(){
      printf("TEST-0...%s\n",driver(
        11, 
        false));
      
      printf("TEST-1...%s\n",driver(
        27, 
        false));
      
      printf("TEST-2...%s\n",driver(
        31, 
        true));
      
      printf("TEST-3...%s\n",driver(
        47, 
        false));
      
      printf("TEST-4...%s\n",driver(
        3, 
        true));
      
      printf("TEST-5...%s\n",driver(
        14, 
        false));
      
      printf("TEST-6...%s\n",driver(
        41, 
        false));
      
      printf("TEST-7...%s\n",driver(
        72, 
        false));
      
      printf("TEST-8...%s\n",driver(
        39, 
        false));
      
      printf("TEST-9...%s\n",driver(
        22, 
        false));
      
  }
  
  main();
  ?>
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 );
  }