Which prime numbers in $\mathbb Z$ are precisely the prime elements of $\mathbb Z[i]$?
19740
What's are all the prime elements in Gaussian integers $\mathbb{Z}[i]$
140550
Irreducible element iff prime norm in Gaussian integers?
66020
What is $\mathbb Z[[t]]$? What are the double brackets?
21946
What do prime ideals in $k[x,y]$ look like?
78343
$4x^2+1$ factors only into $4y+1$ primes
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
93721
Are numbers in which all substrings are primes finite regardless of base?
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
105444
Possible values of prime gaps
75733
Divisibility of prime numbers
151797
Which element belong to the principal ideal $(3+i)$?
33245
Show that every ideal of the ring $\mathbb Z$ is principal
137858
Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?
58418
Does there exist a set of exactly five positive integers such that the sum of any three distinct elements is prime?
79208
Is the number $-1$ prime?
252
Why doesn't $0$ being a prime ideal in $\mathbb Z$ imply that $0$ is a prime number?
81250
Infinitude of prime numbers