A prime-intersective polynomial is an integer polynomial 
such that, for every positive integer 
, there is an integer 
relatively prime to 
with 
.
It is therefore an intersective polynomial.
For example, 
is prime-intersective, while 
is intersective but not prime-intersective.
Prime-Intersective Polynomial
See also
Integer Polynomial, Intersective Polynomial, Prime NumberExplore with Wolfram|Alpha
References
Rice, A. "Sárközy's Theorem for
-Intersective Polynomials." Acta Arith. 157,
69-89, 2013. https://doi.org/10.4064/aa157-1-4.
Cite this as:
Weisstein, Eric W. "Prime-Intersective Polynomial." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Prime-IntersectivePolynomial.html