With reference to High Courts in India, consider the following statements:
1. The Constitution makes no provision for the appointment of a distinguished jurist as a judge of a high court.
2. Only a citizen of India can be appointed as a judge of High Court.
3. A person who holds a judicial office for a minimum of five years can be appointed as a judge of a high court.
4. The Constitution has not prescribed a minimum age for appointment of a High Court judge.
How many of the above given statements are correct?