New posts in Algebraic Number Theory

How did Gauss conjecture there were nine Heegner numbers?

Confused about the splitting of 2 in $\mathbb{Q}(i).$

Computing the index $\left(\mathbb Z\left[\frac{1+\sqrt{5}}{2}\right]:\mathbb Z \left[\sqrt{5}\right]\right)$?

Show that an ideal of the ring of integers of a real number field is not principal

degree of a sum of two algebraic numbers

Prove that $\sqrt{3\pm\sqrt{7}} \not\in \mathbb{Q}(\sqrt{3\mp\sqrt{7}})$.

Primes in $\mathbb{Z}[\sqrt{2}]$?

If $p$ is prime, then $x^2 +5y^2 = p \iff p\equiv 1,9 $ mod $(20)$.

Contest problem without using heavy machinery in number theory

noncyclic class group example of a cubic number field