title: Primality Test Set 5Using Lucas Lehmer Series
signature: primality_test_set_5using_lucas_lehmer_series <- function(p) {
test_code: 
  
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  validate_solution <- function(actual, expected) {
      toString(actual)==toString(expected)
  }
  
  driver <- function(p, expected){
      if (validate_solution(PLACEHOLDER_FN_NAME(p), expected)){
          "PASSED"
      } else{
          "FAILED"
      }
  }
  
  main <- function() {
      cat(sprintf("TEST-0...%s\n",driver(
          11L, 
          FALSE
      )))
  
      cat(sprintf("TEST-1...%s\n",driver(
          27L, 
          FALSE
      )))
  
      cat(sprintf("TEST-2...%s\n",driver(
          31L, 
          TRUE
      )))
  
      cat(sprintf("TEST-3...%s\n",driver(
          47L, 
          FALSE
      )))
  
      cat(sprintf("TEST-4...%s\n",driver(
          3L, 
          TRUE
      )))
  
      cat(sprintf("TEST-5...%s\n",driver(
          14L, 
          FALSE
      )))
  
      cat(sprintf("TEST-6...%s\n",driver(
          41L, 
          FALSE
      )))
  
      cat(sprintf("TEST-7...%s\n",driver(
          72L, 
          FALSE
      )))
  
      cat(sprintf("TEST-8...%s\n",driver(
          39L, 
          FALSE
      )))
  
      cat(sprintf("TEST-9...%s\n",driver(
          22L, 
          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 );
  }