If , ..., are irreducible Polynomials with Integer Coefficients such that no Integer divides , ..., for all Integers , then there should exist infinitely many such that , ..., are simultaneously Prime.
References
Schinzel, A. and Sierpinski, W. ``Sur certaines hypothèses concernant les nombres premiers. Remarque.''
Acta Arithm. 4, 185-208, 1958.