Arduino Uno Rev 3 Auto Resetting, Maybe broken?

Development Tools IDE 1.x
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Hi Everyone, I'm here to ask help: I've made a little project which is simply a button that sets the state of an LED; The LED starts on , then if i press the button, the LED turns off, if i press it again it gets back on. The problem is: after a random ammount of time ( usually 5 to 15 seconds) EITHER if the LED is on or off, the LEDs (including the ones on the Arduino) Flashes 3 times and restarts the code. E.g. My LED is off, 5 seconds after, the LED blinks 3 times, shuts off, and gets back on, like if i pressed the reset button. The code works, now the question isIs it broken? If not, can someone tell me what has gome wrong?

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For Schematics and code refer to the following link

Just modify the code so that this section

  if (buttonPushCounter % 4 == 0) {
    digitalWrite(ledPin, HIGH);
  } else {
   digitalWrite(ledPin, LOW);
  }

looks like this

  if (buttonPushCounter % 2 == 0) {
    digitalWrite(ledPin, HIGH);
  } else {
   digitalWrite(ledPin, LOW);
  }