Prove that product of the first $n$ prime numbers plus $1$ is never a perfect square
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
I have an uploaded video and I want to cut sections of audio (strong language) or add beeps on top without reuploading the video. How to detect true Windows version? Is it possible to extend an Indian business visa from India? I'm an Egyptian girl from Cairo. I'm planning a six-month trip to India in December for training purposes, but getting a six-month visa is so hard from my country.  If I can only get 3 months instead of 6 months, is it possible to extend the business visa in India? Number agreement between subject and object In the Iron Man movie Tony flies the Iron Man armour from Miami to Afghanistan, roughly 7800 miles.    What is the maximum range of the Iron Man armour?   What sort of speed does the armour cruise at?  How long would the flight from Miami to Afghanistan have taken?   Could Iron Man circumnavigate the globe without stopping, and how long might this journey take him?   EDIT: Just found this (funny) image, New York to Washington in under an hour?!? :) Should I be worried about electro-static discharge? Doing mostly micro-controller work, I have never bothered with grounding myself with a wrist-strap or any other implementation. Should I be worried about this? How serious is ESD when working at my workbench on projects? A word to describe someone or something that is not last? I'm looking for a word that describes the state of not being last. A word that would apply to everything in an ordered list that is not the last thing in that list.  From     I wasn't the last person to finish the race.   to (the phrasing is off, but it seems to illustrate my point)     I was .. person to finish the race.   One word that comes to mind is "intermediate", but I don't think that includes the first item in a list. Why did Douglas Adams pick 42 as the ultimate answer? Star Trek often refers to 47 and Star Trek made a sport out of finding real or imagined references to 47. Why did Douglas Adams pick 42 as the ultimate answer in the Hitchhikers guide to the galaxy? Insert eps graphics with graphicx (file not found) Question:     A man like you should not do this, _______?   Which question tag should I use in the blank space?   should he? should you?   Which would be grammatically correct? I think 1 is true. Why are trivial edits discouraged? Looking at  privilege, I find this to be a surprising requirement:  Try to make the post substantively better when you edit, not just change a single character. Tiny, trivial edits are discouraged.  What motivated this, or rather, what does this mean exactly? Does that, for example, include removing stuff like &quot;Hi, all&quot;, and &quot;thanks in advance&quot;? [update] I was led to a  talking about this topic, but it has a million Comments, and doesn't really justify the rule (unless it's hidden in those million Comments). However, looking at Jeff's Comments gives me an idea that this was meant as a general guideline, instead of a hard-and-fast rule: If you edit a post, check elsewhere on that post if there are other improvements that can be made. Analysing the "kind(s) of problem(s) are [ones]/[to be]" construction A. These kinds of problem are to be avoided. B. These kind of problems are to be avoided.  Are both A and B grammatical? If not, why not? If so, after having noticed the parallelism between A and C, and between B and D, could we say that C and D are &quot;standard&quot; English, too?  C. These kinds of problem are ones to avoid. D. These kind of problems are ones to avoid. general solution sum of two uniform random variables aY+bX=Z? is there a general solution to that? I have seen simple examples for Y+X=Z but I was wondering how this would be with rescaling? So we have something like:  \documentclass{article} \setcounter{secnumdepth}{2} \setcounter{tocdepth}{2} \usepackage{amsmath}  \begin{document}  \tableofcontents  \section{Brushless Motor Fundamentals} \subsection{Brushless Motor Operation} \subsubsection{DC Motor Operation} Torque is generated in DC motors from the magnetic force, also known as the Lorentz force, which is produced when an electric current is passed through a coil in a magnetic field. This force is given by $F=q[E+(v\times B)]$, where $F$ is the force perpendicular to the coil, $E$ is the electric field in the coil, $B$ is the magnetic field, and $v$ is the velocity of the charged particles in the coil. From mechanics, torque is $\tau=F\times r$.  \section{Brushless Motor Fundamentals 2} \subsection{Brushless Motor Operation} \subsubsection{DC Motor Operation 2} If the electrical force is ignored and the remaining magnetic force is used, with the assumption that $v$ is perpendicular to $B$, we find that $\tau=qvBrsin\theta$.  \end{document}   How to show subsubsections and paragraphs in TOC? How to get correct scale values? The scale of my map is wrong, no matter what coordinate system I use in my project. The map and all objects show the correct coordinates but the scale of the map shows nonsense and the measurement tool gives wrong dimension.   The map should be like 1:10000 but qgis shows 1:1. Anyone an idea? Automatically change é to \'e – most convenient setup for accented letters? I assume this is really basic question, I'm new to LaTeX, I read a first step tutorial to get ready to write some documents but I couldn't answer my own question at this time and I really don't know where to search.  When I try to write é and compile my document, this character is not shown. I know the sequence is \'e to make it happen in the document but that is really disturbing to write.  Is there someway to write a paragraph "normally" and convert all the special chars into the LaTeX syntax? Or is there a way to allow é, à, ... writing so the compilation includes them into the document? I've searched websites, written to Mr. Barth and William Safire, scanned bookstore shelves, and buttonholed likely prospects in search of a grammar text that would address matters in the manner of the following, which is from John Barth's "The End of the Road".  If such a text exists, I'd be much obliged to learn of it:  " ... it gives a man a great sense of lucidity and well-being, if not downright formidability, to be able not only to say, but to understand perfectly, that predicate complements of infinitives of copulative verbs without expressed subjects go into the nominative case, whereas predicate complements of infinitives of copulative verbs with expressed subjects go into the objective case.  I made this observation to my assemblage of young scholars and concluded triumphantly, "I was thought to be he, but I thought John to be him."  Thank you. How do I integrate Github files to Orange for ML? I am currently trying to make a facial recognition workflow with Orange but since the widgets are still prototypes they are not all available in Orange. I found the Github files for the widgets but don't know how to install this so that I can see and use the widgets in Orange. How to delete all lines that do NOT contain a certain word in Vim? In vim I can delete all lines that contain the word "price" with this  :g /price/d   How can I delete all lines that do NOT contain the word "price"? I am wondering if there is an easy way to inset mesh that is generated from text/curves? When I convert text to mesh it generates a bunch of uneven triangles that don't inset properly. My only solution is slow and tedious and requires manually removing all but the outline edges and refilling with quads. More specifically I am trying to create an engraving of text into a mesh, and rather than a straight bool cut I need the engraved text to inset a bit. The result needs to mesh (not through a shader). Any ideas appreciated.