Java Rock Paper Game Loops Too Many Times

I had to make a rock paper scissors game, where you play against the computer. 1,2,3 are used for rock, paper, scissors.It loops 5 times, and shows the amount of computer wins and player wins. I got everything to work, except for the looping. When you put a number higher than 3, it's suppose to say "Invalid" and loop until you play 5 valid games. However if you you put an odd amount of wrong answers, it makes you play 6 games, and if you put an even amount of wrong answers, it makes you play 5 games. I need it to make you play 5 games regardless of odd and even amounts wrong. Please help.

public static void main(String[] args) {

    Scanner reader = new Scanner (System.in);
    int player = 0, computer = 0;
    int computerScore = 0, playerScore = 0;
    int loops = 0;

    int rock = 1;
    int paper = 2;
    int scissors = 3;

    for(int i=1; i < 6;i++) {


    computer = (int) (Math.random() * 3) + 1;
    System.out.println("Enter 1 for Rock, 2 for Paper, 3 for Scissors");
    player = reader.nextInt();




    if (player > scissors)

    {
     System.out.println("Not a valid response");
     System.out.println("Enter 1 for Rock, 2 for Paper, 3 for Scissors");
     player = reader.nextInt();
     i--;

    }



    if (player == computer) {
        System.out.println("Tie");
    }
    else if (player == rock ) {

        if(computer == paper){
            System.out.println ("Player picked Rock, Computer picked Paper, Computer wins");
            computerScore ++;
        }    else if(computer == scissors){
            System.out.println ("Player picked Rock, Computer picked Scissors, Player wins");
            playerScore ++;
        }    
    }

        else if (player == paper) {

        if(computer == rock){
                System.out.println ("Player picked Paper, Computer picked Rock , Player wins");
                playerScore ++;
            }    else if(computer == scissors){
                System.out.println ("Player picked Paper, Computer picked Scissors, Computer wins");
                 computerScore ++;
            }   
        }
            else if (player == scissors) {
            if(computer == rock){
                System.out.println ("Player picked Scissors, Computer picked Rock , Computer wins");
                computerScore ++;
            }    else if(computer == paper){
                System.out.println ("Player picked Scissors, Computer picked Paper, Player wins");
                playerScore ++;
            }   

            }

            }
    System.out.println("");
    System.out.println("Computer Wins " + computerScore);
    System.out.println("Player Wins " + playerScore);

        }
    }