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David R.'s user avatar
David R.'s user avatar
David R.'s user avatar
David R.
  • Member for 9 years, 10 months
  • Last seen more than 4 years ago
11 votes

What is the symbol for imaginary numbers?

8 votes

Aside from $5$, are all prime Fibonacci numbers also prime in $\mathbb{Z}[\phi]$?

7 votes

how to prove that the ring of algebraic integers of $\mathbb Q(\sqrt {69})$ is a PID or UFD

7 votes

What other kinds of cubic integer rings are there?

7 votes

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

6 votes

Is $\mathbb{Z}[\sqrt{15}]$ a UFD?

6 votes
Accepted

Is $3+2=5$ a equation?

5 votes
Accepted

Why can the sieve of eratosthenes not be used to confirm the twin primes conjecture?

5 votes

Prove, axiomatically that $1$ does not equal $0$.

5 votes

Prove that $-3$ is a quadratic residue mod an odd prime $>3$ if and only if $p$ is of the form of $6n+1$

5 votes

Classifying prime ideals of $\mathbb{Z}[i]$

5 votes

Primes of the form $x^2+ny^2$?

5 votes

Is a biquadratic ring uniquely determined by two intermediate quadratic rings?

5 votes

Why doesn't the definition "$p$ is called 'prime' if $p\mid ab\implies p\mid a\,\text{ or }\,p\mid b$" hold up when we square numbers?

5 votes

Factoring the ideal $(8)$ into a product of prime ideals in $\mathbb{Q}(\sqrt{-7})$

4 votes

How to round to algebraic integers in real quadratic integer domains

4 votes

Is $1+\sqrt{5}$ a prime under the $\mathbb{Z}[{\sqrt{5}}]$ domain?

4 votes
Accepted

product of prime number sequence and its divisibility

4 votes
Accepted

Most elegant way to prove a prime is a prime?

4 votes

Is the gcd of two numbers also the gcd of their squares?

4 votes
Accepted

Show that $\mathcal{O}_K$ is not UFD with $K = \mathbb{Q}(\sqrt{-13})$

4 votes

Is 'Algebraic Number Theory' the study of the theory of algebraic numbers, or is it the study of the theory of numbers from an algebraic viewpoint?

4 votes

Can a square be in the form $2x + 1$, when $x$ is odd?

3 votes

For which $d \in \mathbb{Z}$ is $\mathbb{Z}[\sqrt{d}]$ a unique factorization domain?

3 votes

Find the last two digits of $9^{{9}^{9}}$

3 votes

Can we find $n$ such that $p|2^n-1$ for a given prime $p.$

3 votes

If $n$ is an integer then $4$ does not divide $n^2 - 3$

3 votes

Simplifying my Solution for: List the first three positive prime numbers $d$ in $\textbf{Z}$ so that the quadratic integers in...

3 votes

Prove that there are no integers $x$ and $y$ such that $3x^2=13+4y^2$

3 votes

If $p$ is prime, with $p> 3$, then $p^{2} \equiv1\pmod{24}$