Ege Erdil's user avatar
Ege Erdil's user avatar
Ege Erdil's user avatar
Ege Erdil
  • Member for 7 years, 6 months
  • Last seen more than a week ago
40 votes

The square roots of different primes are linearly independent over the field of rationals

38 votes
Accepted

Calculate $\int_{0}^{1} (x-f(x))^{2016} dx$, given $f(f(x))=x$.

37 votes

Are there infinitely many primes $p$ such that $p-2$ and $p+2$ are composite?

26 votes
Accepted

Elementary solution of exponential Diophantine equation $2^x - 3^y = 7$.

17 votes
Accepted

Why does "solvability" for groups suggest something about the solution of polynomials?

15 votes
Accepted

an odd degree polynomial with cyclic Galois group has root all real

14 votes

Why is $ (2+\sqrt{3})^n+(2-\sqrt{3})^n$ an integer?

13 votes
Accepted

Is the difference of two irrationals which are each contained under a single square root irrational?

11 votes

Does there exist a basis for the set of $2\times 2$ matrices such that all basis elements are invertible?

11 votes
Accepted

How many elements of $S_9$ commute with $(123)(4567)$?

11 votes

is $\sqrt[n]{n!}$ ever an integer?

10 votes
Accepted

Find a polynomial over $\mathbb{Q}$ with a given Galois group.

10 votes

Are there unsolved indeterminate limits?

9 votes

Irreducibility of polynomials in two variables

9 votes
Accepted

How to factorize $5$ in $\mathbb{Z}[\root 3 \of 2]$?

9 votes

Prove that $\sin x \cdot \sin (2x) \cdot \sin(3x) < \tfrac{9}{16}$ for all $x$

9 votes
Accepted

Is $\frac{1010103010101}9$ prime or composite?

9 votes

Help justifying that $\mathbb Q(\sqrt[3]{2})$ is not a splitting field over $\mathbb Q$.

9 votes
Accepted

Why does the name "epimorphism" refer to a surjective homorphism?

8 votes
Accepted

If $[\overline F : F] = \infty$, does $F$ have extension of degree $n$ for any $n \geq 1$?

8 votes
Accepted

Galois group of $f(x^2)$

8 votes
Accepted

Is $x^{2^{n+1}} - x^{2^n} + 1$ is irreducible over the integers for all $n$?

8 votes

Is any finite-dimensional extension of a field, say $F$, algebraic and finitely generated?

8 votes

What is $\mathbb{R}/\mathbb{Z}$ going to be?

8 votes

Let $p$ be a prime so $p\equiv3\pmod4$. If $p|a^2+b^2$, then $p|a,b$

8 votes

Product of one minus the tenth roots of unity

8 votes
Accepted

Method to determine if a ring is a UFD?

7 votes
Accepted

Prove that a finitely-generated free module has a finite basis

7 votes

Find positive integer $x,y$ such that $7^{x}-3^{y}=4$

7 votes
Accepted

Are there irreducible polynomials that are partially solvable by radicals?

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