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3h
answered Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
4h
revised Elementary Twin Prime Attempt.
added 12 characters in body
5h
comment Proof if $0\leq a,b<1$ then $a+b<1+ab$
Oh, this is even sweeter +1. Although I was looking at a broader technique which could be applied.
5h
asked Proof if $0\leq a,b<1$ then $a+b<1+ab$
1d
comment Finding the adherent points of $A=\left\{\left(1/n,1/m\right)|n,m\in\mathbb{N}\right\}$
I had a small typo. I fixed it,
1d
revised Finding the adherent points of $A=\left\{\left(1/n,1/m\right)|n,m\in\mathbb{N}\right\}$
added 45 characters in body
1d
revised Elementary Twin Prime Attempt.
added 279 characters in body
1d
comment Elementary Twin Prime Attempt.
I don't know, it certainly implies there is at least one $k$ for which there are infinitely many $2k$-separated primes. But it doesn't imply for every $k$ sufficiently large the result will hold.
1d
answered Elementary Twin Prime Attempt.
1d
comment Elementary Twin Prime Attempt.
Could you cite the theorem that is out there?
1d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
e.e${}{}{}{}{}{}{}$
1d
revised Finding the adherent points of $A=\left\{\left(1/n,1/m\right)|n,m\in\mathbb{N}\right\}$
added 1 character in body
1d
answered Notation: $f(A)$ when $f$ is a function $f:A\to B$.
1d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
Now I'm confused. how does $\{e,e\}$ have $5389$ elements?
1d
answered Finding the adherent points of $A=\left\{\left(1/n,1/m\right)|n,m\in\mathbb{N}\right\}$
1d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
Yes. But $x\neq e$.
1d
comment Is $S_5$ isomorphic with the direct product $A_5 \times Z_2$?
$\{e,e\}$ is a normal subgroup of size $2$. Am I wrong?
1d
accepted Number of divisors $d$ of $n^2$ so that $d\nmid n$ and $d>n$
1d
comment Number of divisors $d$ of $n^2$ so that $d\nmid n$ and $d>n$
It does. The number of values so that $d<n$ is intimately related to the number of values of $d$ so that $d$ does not divide $n$
2d
comment Number of divisors $d$ of $n^2$ so that $d\nmid n$ and $d>n$
The question is formatted like that because it gives you a hint.