Sunday Times Teaser 2489 – No Title
by Victor Bryant
Published June 6 2010 (link)
Your task today is to put more than two digits evenly spaced around a circle so that:
Any three adjacent digits clockwise form a prime number.
Any three adjacent digits anti-clockwise form a prime number.
If a digit occurs in the circle, then it occurs a prime number of times;
The total of all the digits around the circle is a prime.
What is the total of all the digits?