Arrange the digits 1-9 in a 3x3 square using each once only according to the following rules. Exactly one prime is directly above a prime two less. Each pair of opposite corners sums to the same square total and exactly two columns share another square total. Exactly one prime is directly to the left of a non-prime two greater. Directly above exactly one square digit is a digit four greater. Directly to the right of exactly one cubic digit is a digit one greater