since you provided almost no information, i can only guess what you need. so maybe this can help you:
public Form1()
{
    InitializeComponent();
    //attach same click handler on *all *buttons.
    //that can be made like this, in form constructor, or via form designer
    button1.Click += Button_Click;
    button2.Click += Button_Click;
    button3.Click += Button_Click;
    button4.Click += Button_Click;
    //etc...
    //notice that right part is always the samme :)
}
//handler method
private void Button_Click(object sender, EventArgs e)
{
    //get button that called this method by casting it from object
    var btn = sender as Button;
    //use regex to get number from button and construct panel name
    var number = new Regex(@"\d+").Match(btn.Name);
    var targetPanel = "img" + number.Value.ToString();
    //find all controls of type panel, and then single one that has "targetPanel" name
    var pnl = this.Controls.OfType<Panel>().Single(pnl => pnl.Name == targetPanel):
    //make it invisible
    pnl.Visible = false;
}