An intersective polynomial is an integer polynomial 
having a root modulo every positive
integer: for each 
, some integer 
satisfies 
. For example, 
is intersective. A prime-intersective
polynomial additionally requires such a root to be relatively prime to the modulus.
Intersective Polynomial
See also
Integer Polynomial, Prime-Intersective Polynomial, Square-Difference-Free SetExplore 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. "Intersective Polynomial." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/IntersectivePolynomial.html