Arrange the numbers 1-9 in a 3×3 square using each only once

Arrange the numbers 1-9 in a 3×3 square using each once only, according to the following rules:

exactly one prime number is directly above a prime number that’s two numbers less;
each pair of opposite corners sums to the same square total and exactly two columns share another square total;
exactly one prime number is directly to the left of a non-prime number that’s two numbers greater;
directly above exactly one square number is a number that’s four numbers greater; and
directly to the right of exactly one cubic number is a number that’s one number greater.

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[contact-form 8 “brain-teaser”]