MathDB

Find all monic polynomials

f

with integer coefficients satisfying the following condition: there exists a positive integer

N

such that

p

divides

2(f(p)!)+1

for every prime

p>N

for which

f(p)

is a positive integer.
Note: A monic polynomial has a leading coefficient equal to 1.
(Greece - Panagiotis Lolas and Silouanos Brazitikos)

Problem Statement