- #1
VKint
- 139
- 12
Hey there, physics forums!
A question occurred to me the other day: Is it true that if [tex] f \in \mathbb{Z}[x] [/tex] is monic and irreducible over [tex] \mathbb{Q} [/tex], then for at least one [tex] a \in \mathbb{Z} [/tex], [tex] f(a) [/tex] is prime? I can't prove it, but I suspect it's true. Does anyone know if this problem has been solved?
A question occurred to me the other day: Is it true that if [tex] f \in \mathbb{Z}[x] [/tex] is monic and irreducible over [tex] \mathbb{Q} [/tex], then for at least one [tex] a \in \mathbb{Z} [/tex], [tex] f(a) [/tex] is prime? I can't prove it, but I suspect it's true. Does anyone know if this problem has been solved?