title: Primality Test Set 5Using Lucas Lehmer Series
signature: bool primalityTestSet5UsingLucasLehmerSeries(int p) {
test_code: #include <algorithm>
  #include <assert.h>
  #include <cstdlib>
  #include <iostream>
  #include <map>
  #include <set>
  #include <string>
  #include <tuple> 
  #include <unordered_map>
  #include <vector>
  #include <math.h>
  #include <cmath>
  #include <bits/stdc++.h>
  #include <numeric>
  #include <functional>
  
  using namespace std;
  
  // SOLUTION CODE
  // ============================================
  PLACEHOLDER_CODE_BODY
  
  // TESTING CODE 
  // ============================================
  bool validateSolution(bool actual, bool expected){
      return actual == expected;
  }
  
  string driver(int p, bool expected){
      try
      {
          if (validateSolution(PLACEHOLDER_FN_NAME(p), expected)){
              return "PASSED";
          }
          return "FAILED";
      }
      catch (const std::overflow_error& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (const std::runtime_error& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (const std::exception& exception_obj)
      {
          return typeid(exception_obj).name();
      }
      catch (...)
      {
          return "UNK_ERROR";
      }
  }
  
  int main() {
      string result = "";
  
      result = driver(11, false); 
      cout << "TEST-" << 0 << "..."
           <<  result
           << "\n";
  
      result = driver(27, false); 
      cout << "TEST-" << 1 << "..."
           <<  result
           << "\n";
  
      result = driver(31, true); 
      cout << "TEST-" << 2 << "..."
           <<  result
           << "\n";
  
      result = driver(47, false); 
      cout << "TEST-" << 3 << "..."
           <<  result
           << "\n";
  
      result = driver(3, true); 
      cout << "TEST-" << 4 << "..."
           <<  result
           << "\n";
  
      result = driver(14, false); 
      cout << "TEST-" << 5 << "..."
           <<  result
           << "\n";
  
      result = driver(41, false); 
      cout << "TEST-" << 6 << "..."
           <<  result
           << "\n";
  
      result = driver(72, false); 
      cout << "TEST-" << 7 << "..."
           <<  result
           << "\n";
  
      result = driver(39, false); 
      cout << "TEST-" << 8 << "..."
           <<  result
           << "\n";
  
      result = driver(22, false); 
      cout << "TEST-" << 9 << "..."
           <<  result
           << "\n";
  
      return 0;
  }
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 );
  }