Find Primes!Number Theory Level 3
Read the following statements carefully.
\(\). It is completely impossible to find a non-constant infinite arithmetic progression such that all of the terms are prime numbers.
\(\). It isn't possible to find a non-constant polynomial \(f(x)\) with integer coefficients such that \(f(x)\) is a prime number for all integer values of \(x\).
\(\). If \(f(x)=4x-1\), it is possible to find infinite values of \(x\) such that \(f(x)\) is a prime.
Which of these are correct?
This problem is from the set "MCQ Is Not As Easy As 1-2-3". You can see the rest of the problems here.