How far is the list of known primes known to be complete?
So there is always the search for the next "biggest known prime number". The last result that came out of GIMPS was $2^{74\,207\,281} - 1$, with over twen...
04 Apr 2026 1 READS
Using only the field axioms of real numbers prove that $(-1)(-1) = 1$
Using only the field axioms of real numbers prove that $(-1)(-1) = 1$ (1) I start with an obvious fact:$$0 = 0$$ (2) Add $(-1)$ to both sides of the equat...
04 Apr 2026 1 READS
Square Roots: Variables with Exponents.
Alright, so let me get this straight: $\sqrt{x^2} = |x|$ $\sqrt{x^3} = x\sqrt{x}$ $\sqrt{x^4} = x^2$ $\sqrt{x^6} = |x^3|$ Are these correct?
04 Apr 2026 1 READS
Why can't you flatten a sphere?
It's a well-known fact that you can't flatten a sphere without tearing or deforming it. How can I explain why this is so to a 10 year old? As so...
04 Apr 2026 1 READS
How do I find the equation of a parabola given the max, and two points?
I was given the points (2, -1) and (10,-1) and also a max of 4. How would I go about finding the equation of the parabola given this info?
04 Apr 2026 1 READS
How to use NetSpeed with LXDE?
I am using Ubuntu 20.04.2 LTS with LXDE because I prefer minimalism and functionality. GNOME 3 is unacceptably heavy on system resources. MATE (based on G...
04 Apr 2026 0 READS
SSSD with AD: use UID/GID specified on domain server instead of something random?
I have an AD environment with IDMU and specified UID/GID for my domain users. SSSD-connected domain user does not share the same UID/GID on Ubuntu as AD. ...
04 Apr 2026 0 READS
What is dpkg-reconfigure and how is it different from dpkg --configure?
I was recently given an answer to another question Help: “aptd” is maxing out my CPU? which included running the commands sudo dpkg-reconfigure -phigh -a ...
04 Apr 2026 0 READS
Giving two equal line segments AC and BD so that they bisect each other at E. Prove that quadrilateral ABCD is a Rectangle.
Given $AC=BD$ so $\angle AED= \angle CEB$ by Prop I.15 $AE+EC$ and $BE=DE$ by definition of bisect So by $SAS$, $\triangle AED$ is congruent to $\triangle...
04 Apr 2026 0 READS
Removing a fraction in the denominator
What steps do I need to take to simplify $\frac{1}{\frac{1}{\sqrt{2}}}$ to $\frac{\sqrt{2}}{1}$? Can you please explain the steps i need to take in this p...
04 Apr 2026 0 READS
