academia.js

#!/usr/bin/env node

 function BK() {
  var self = this;
  this.bkList = [];

  this.seenConditionBefore = function(n) {
    if (self.bkList[self.calculateConditionIndex(n)])
      return true;
    else
      return false;
  };

  this.calculateConditionIndex = function(n) {
    var setCondition = 0;
    if (self.divisibleByFive(n))
      setCondition = setCondition | 1;
    if (self.divisibleBySeven(n))
      setCondition = setCondition | 2;
    if (self.containsFive(n))
      setCondition = setCondition | 4;
    if (self.containsSeven(n))
      setCondition = setCondition | 8;
    console.log(setCondition);
    return setCondition;
  };

  this.divisibleByFive = function(n) {
    if (n % 5 == 0)
      return true;
    else
      return false;
  };

  this.divisibleBySeven = function(n) {
    if (n % 7 == 0)
      return true;
    else
      return false;
  };

  this.containsFive = function(n) {
    var s = n.toString();
    if (s.indexOf(5) != -1)
      return true;
    else
      return false;
  };

  this.containsSeven = function(n) {
    var s = n.toString();
    if (s.indexOf(7) != -1)
      return true;
    else
      return false;
  };
};

var game = new BK();

//counter
var i = 1;

//# of combinations of all conditions
var conditions = 16;
while(conditions > 0) {
  if (!game.seenConditionBefore(i)) {
    var conditionIndex = game.calculateConditionIndex(i);
    game.bkList[conditionIndex] = i;
    conditions--;
  }
  i++;
}
console.log(game.bkList);