Primes and irreducible polynomials

Boyang Zhao

In 2002, M.Ram Murty showed that if p is a prime with k-adic expansion :$p={\sum }_{i=0}^n{a}_i{k}^i$ , then the polynomial $f(x)={\sum }_{i=0}^n{a}_i{x}^i$ is irreducible in $\mathbb…