Topology of Numbers · Problem 8.2.3

Quadratic Fields — Allen Hatcher

Mathematics — Number Theory · unique-factorization-euclidean-algorithm

Problem

R_\Delta

for

\Delta = -3

show that the only primes

\alpha

for which

\overline{\alpha}

is a unit times

\alpha

are

\sqrt{-3}

and units times

\sqrt{-3}