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12:07 AM
Is there a meta ruling on an answer that is broken up into multiple files?
 
12:35 AM
foo is very easy to add to a relay
 
 
1 hour later…
1:40 AM
code-golf.io now has J
 
0
A: Sandbox for Proposed Challenges

xnorPrimality testing expression code-golf restriced-source decision-problem Your goal is to determine whether a given number n is prime in the fewest bytes. But, your code must be a single Python 2 expression consisting of only operators the input variable n integer constants parentheses No lo...

 
@xnor is this possible? ^
 
yes
i wouldn't post it otherwise
 
Not a python expert but the description makes it sound like you'd need an O(1) primality algorithm...
 
1:55 AM
arithmetic expressions aren't necessarily constant time
it's just a convenient approximation for situations where the runtime is mainly something else
 
ehh... I'm still not convinced really.
 
2 ** 2 ** n is definitely not O(1).
 
it does seem to be a hard be a puzzle, and I'm not how to handle that
 
Yeah I know they're not constant time on real-world hardware, but I've never heard of a primality test that's a fixed number of steps.
 
someone will solve it first and it will be impressive, but i hope there's interesting room for golfing and finding better methods
 
Anonymous
2:04 AM
@Dennis It's an abuse of notation to specify a big-O complexity without a reference to the operations being counted. 2 ** 2 ** n is O(1) if you use exponentiation as the operation being counted :P
 
I believe you. :P
 
man, now everyone is going to try to solve it while it's still in the sandbox
 
You've solved it personally, right?
 
yes
i'd like to just post it -- anyone have any quick feedback?
 
Exponentiation may not be used with negative exponents, and this may produce floats. Does that say what it's supposed to?
 
2:08 AM
i mean like 2**-3 gives 0.125 -- did I mess something up here?
 
and → as
 
A few days ago in a private golf server, I saw a formula for binomial coefficients in one expression. Seems like it might be possible to leverage that into a factorial.
Now I'm wondering if @xnor is also in this server.
 
@feersum i'm not, but this sounds cool. can i join?
 
Nope, sorry.
 
5
A: Tips for golfing in Python

xnorBinomial coefficient The binomial coefficient \$\binom{n}{k} \ = \frac{n!}{k!(n-k)!}\$ can be expressed arithmetically as ((2**n+1)**n>>n*k)%2**n Try it online! This works for \$n,k \geq 0\$, except for \$n=k=0\$ it gives \$0\$ rather than \$1\$. More generally, it works to use (b+1)**n/b*...

 
2:09 AM
I could not figure out how the damn formula wroked though.
 
Hmm
 
@Dennis Yeah that's the one, thanks.
Also written by xnor, very suspicious :)
 
i posted it
please leave any sandbox comments on the live challenge :)
 
"and" should be "because"
or "as"
 
thanks
that must be what dennis meant before
and what your arrow meant :)
 
2:19 AM
credit to dennis for noticing yeah
 
@feersum you might also be interested in this improvement on fibonacci
 
0
Q: Primality testing formula

xnorYour goal is to determine whether a given number n is prime in the fewest bytes. But, your code must be a single Python 2 expression on numbers consisting of only operators the input variable n integer constants parentheses No loops, no assignments, no built-in functions, only what's listed ...

 
Honestly I should have been able to get that. Not like I haven't written answers using integer multiplication as convolution before...
 
@xnor Why not Python 3?
 
@user202729 just because / gives floats
it would mean people need to use //, which may slightly affect byte count
 
2:29 AM
OK I think I've figured out how to do it with just binomial but it's not particularly pretty
woops nope nevermind misread this
bummer
 
@ConorO'Brien for quine relay are [self-executing]function quines ok
 
2:53 AM
Someone let me know if I did this right:
0
A: Q​u​i​n​e R​e​l​a​y​!

Downgoat3. JavaScript → Python → Foo JavaScript Classic JS quine. This is a full program which outputs to console: (f=_=>console.log(`print(${String.fromCharCode(39)}${String.fromCharCode(34)}(f=${f})()${String.fromCharCode(34)}${String.fromCharCode(39)})`))() Try it online! Python Python code bas...

 
The idea is that the JS code prints out the Python code prints out the Foo code prints out the JS code
 
@quartata so yes then
@ConorO'Brien wouldn't mame's ouroboros relay automatically win/any solution using that as base
 
Oh I didn't notice the Python one output with quotes
I thought you made both Python and Foo output the JS quine
 
@Downgoat I think it's good, but shouldn't you have newlines in the Python and Foo ones?
 
3:16 AM
@NewMainPosts how would one go about doing this :|
@quartata ?
 
3:45 AM
@JoKing ah yes, fixed
 
@NewMainPosts Tfw you post an answer, start working on a proof, and find out that your assumption is an open problem. :/
 
@Dennis Wolstenholme's conjecture?
 
Yes.
 
that's too bad, i thought you had it
 
Well, if nobody realized that it's an open problem, somebody may end up proving that conjecture.
 
3:53 AM
i was trying to do that after Dennis posted until i ran into the wikipedia page for Wolstenholme's theorem
 
I was going to use the slow way (generate all (n-1)² products) but of course it's waaay longer.
 
@user202729 is it possible with only integer operations and no loops
 
Wait so that means I am nerd-sniped again?
 
The general plan is similar to the "binomial coefficient" tips.
 
I was looking for a good sum formula for factorials but couldn't find one.
 
4:07 AM
@NewMainPosts forgive my ignorance but if we are only allowed arithmetic/bitwise and logical operators doesn't that mean a solution would be a constant-time primality check?
 
@Downgoat Python uses bignums for integers.
 
2 hours ago, by Dennis
2 ** 2 ** n is definitely not O(1).
 
oh i see
 
"Falling factorial" is one of the stupidest math notations I have seen.
Why can't these bums just write x! / n!
 
Because it's longer of course...
 
4:20 AM
@feersum What's that notation?
 
Besides, it's x!/(x-n)! IIRC.
 
Hehe, tricked the parser.
 
can someone explain to me how Euler made this assumption:
 
That's a divergent series.
 
I mean both diverge to my knowledge so I'm not sure what it's even supposed to mean
@feersum exactly
lemme link the wikipedia article
 
4:31 AM
I tihnk it's supposed to be 1/n^2 or something.
 
he's proving it diverges but how can he put those two things in front of an equal sign
oh actually I see where I am stupiding
 
code-golf.io J prints without echo
groundbreaking
 
4:49 AM
@Dennis lmao this is exactly what happened to me
Sorry should have put a warning for everyone else
 
5:07 AM
@Downgoat I would recommend this page if you want a proof of the divergence of the sum of the reciprocals of the primes
Also there's a formula that is close to the one you posted and is called the Euler product formula
whenever $\operatorname{Re}(s) > 1$, we have:
$$\sum_{n=1}^\infty \frac 1 {n^s} = \prod_p \frac 1 {1-p^{-s}}$$
 
5:34 AM
@quartata Same conjecture of a different one?
Anyway, second time is the charm, hopefully.
 
Same conjecture yeah
 
@Dennis are you sure it's enough to check those bits?
i was thinking along the same lines and hadn't managed to convince myself fully
 
I was, but now that you bring it up...
 
hahahaha
 
I'll try again tomorrow. I should have gone to bed hours ago. :/
 
5:38 AM
@dzaima No, actually. It uses the exact same APL code as Unicode does (and converts Unicode files to ⎕AVU encoding when loading them). However, Classic is not meant for "scripting" and we're really abusing it on TIO.
 
Looking at user202729's answer, I think it's just a working version of my second attempt.
 
6:14 AM
I had a dream that I had an amazing dream
 
@FrownyFrog @_@
 
Like I was already somewhat over it by the time I woke up
wait, the 2nd level dream actually was about having dreams
I don’t remember
 
how do you know you're not dreaming now
wake up
 
I will wake up when it’s time
 
6:50 AM
0
Q: Convert a number into its word form

StealthyPandaThis is a simple challenge where a number taken from STDIN is converted to its word form, and given out in STDOUT. (By word form I mean how the number is said out loud). Eg: 1---->One 2---->Two 69---->Sixty Nine 429---->Four hundred and twenty 101---->One hundred and one Your task is to write ...

 
7:21 AM
why is my github dashboard almost entirely filled with downgoat
 
8:07 AM
@Soaku Same here, but remove almost for me
 
8:19 AM
@Soaku XD is it axtell commits?
 
8:37 AM
@Downgoat no, it doesn't show commits for me. Mostly stars
 
what's dashboard
I don't have it
I know it’s a new thing but I didn’t notice any new things in my github
is the URL just github.com?
 
yes
it's not a new thing, the new about it is they keep redesigning it
 
8:52 AM
ah
 
9:20 AM
Does exp(exp(z)+exp(1/z)) have a Laurent series at 0?
 
9:37 AM
CMC: find the constant coefficient of the Laurent series expansion of exp(exp(z)+exp(1/z)) at 0
 
10:34 AM
Why were we chosen to test the new style?
I think we should get paid for it
 
10:52 AM
@BetaDecay "They like ugly unpractical things that kind of work on PPCG. So they're fit to test it"
9
 
11:21 AM
0
Q: number decomposition

Muhammad SalmanIt's been a while since I posted here, so here we go another day another challenge. Challenge : Given a number(n) split it into it's prime factors. Input : A positive non-zero integer greater than 2. Output : Decompose the number into it's prime factors and return the number of occuran...

 
11:45 AM
@Fatalize maybe they expect us to write a userscript to fix it :P
Time to write a better redesign userscript
 
12:37 PM
0
A: Sandbox for Proposed Challenges

Luis felipe De jesus MunozNumbers Addition Challenge Given a list of numbers K and a desired result N your task is to output the expression which can be used to get N using only plus operator + and minus operator - Example: [3,7,9,3,-5,7,0,-5], 11 => 3 + 7 + 9 - 3 - -5 - 5 + 0 + -5 Rules Only one operator can be us...

 
12:50 PM
@FrownyFrog I can't figure out how to print without leading spaces sans echo
for example, for primes from 1 to 100, p: gives me the vector, ,. convrets it to a 1-column matrix but I need a verbose echo@+ to print it
well ,. is suprerfluous but echo.. is still verbose
 
":&> does the trick
it even somehow removes trailing spaces e.g. for divisors
it shouldn’t I guess the site does
 
1:05 PM
The site automatically strips whitespace on each of the output lines on both sides IIRC.
 
well it looks like it’s only for the right side
 
Are you sure?
 
@Mr.Xcoder try ,.3 12 143
 
@Mr.Xcoder why would it strip on the left
 
@FrownyFrog I don't know J
 
1:11 PM
@ASCII-only yeah sounds very radical
 
We must ask JR to add Jelly :)
 
@FrownyFrog thanks
 
@Mr.Xcoder why only jelly
 
... Also Charcoal :P
 
How did my autocorrect get that
 
1:16 PM
Just kidding. I wish all our golf langs were there (because I am just better at golfing in golf langs rather than golfing in practical langs)
 
J is rek'ing the leaderboard
 
@Cowsquack well of course
 
the green part of it
 
@Mr.Xcoder you should get JR to add TIO integration :P
@Cowsquack charcoal would wreck the pi and E ones and basically nothing else
 
0
A: Sandbox for Proposed Challenges

FatalizeFill up to duplicate ranges Let \$L\$ be a list of positive integers with no particular ordering, and which can contain duplicates. Write a program or function which outputs a list of positive integers \$M\$ (whose ordering is unimportant) such that the union of \$L\$ and \$M\$ results in a list...

 
1:43 PM
^ Somehow got the inspiration for a challenge after more than a year without posting one
 
@Fatalize I'm pretty sure you don't mean the "union" but the "concatenation"
 
Yeah because union yields a set, not a list
 
Yeah yeah stupid mathematicians and their sets with no duplicates
 
nah, that's not my issue
 
Other than that, +1 it's clear, easy to understand and nice (imo)
 
1:47 PM
it's that the "multi-set union" of [4, 5] and [1, 2, 3, 4, 5] is [4, 5, 1, 2, 3], not [4, 5, 1, 2, 3, 4, 5]
 
@EriktheOutgolfer What is it then?
@EriktheOutgolfer Seems like a pretty useless operator then?
 
that's how the term is defined, and, in rare cases, it's actually very useful
a "multiset" differs from a "set" in that there can be more than one of the same element, and from a "vector" in that it's unordered
 
2:01 PM
@BetaDecay It turns out that people don't like the new style...
(and it's buggy)
 
It's awful
I can forsee it looking as bad as mathoverflow
 
Was the old theme really better? IMO it wasn't
 
Seems to be rather polarizing since I love the new theme
 
I have the left bar collapsed and I think it's rather usable (having the userscript enabled as well, which may reduce the ugliness factor perhaps)
 
Why the left bar collapsed?
Didn't know you could turn that off actually but
 
2:06 PM
I like it better with the hamburger instead. Having it on the left doesn't bother me a lot though, I can use it either way but I prefer having it collapsed.
At first I hated the new theme but now it seems OK to me
 
I like the topbar
Nothing else
Maybe it'll be better without the bugs
 
The new theme is still a bit unpolished, but I think it's better overall. My browser only occupies the left half of my screen, and the old theme didn't handle that at all.
On my phone, the old theme was almost unusable (but still better than the mobile site, which is still better than the app), so the new theme is a huge improvement.
 
@Dennis I assume they've also improved accessibility to moderator tools?
(on mobile, that is)
 
Neat, that works well
 
The Unanswered Tab is half outside the screen on mobile though...
(for me at least)
 
2:13 PM
Oh yeah, it is for me too
 
@Mr.Xcoder Vastly. Using the desktop site gave me access to most of the moderator tools, but some thing just were permanently and inevitably off screen below a certain screen/viewport width.
 
ngn
@Dennis the flip side of that is that content is now squished in the centre for those of us who use the browser full-screen
 
I wonder if this was the plan all along to improve the mobile site
 
Well yeah. It's supposed to be responsive
 
But the default mobile theme remained the same :/
 
2:17 PM
Why bother having a mobile site when the full site works so well on mobile?
 
With responsive design, you don't need one. That's the whole point.
 
Then why do they still have one
 
Because it's still in beta.
 
I change my mind, the new design is brilliant
 
@ngn Squished? The width of the mainbar decreased from 728px to 727px when maximizing my browser window.
 
ngn
2:22 PM
@Dennis I mean, in fullscreen I get lots of white space on both sides, including under these "Home, Questions, etc" links
 
As a side note, using the full site for writing explanations in code blocks (like the ones most of us usually write) is far, far better than trying this on the old mobile theme, which was a pain to use.
 
ngn
the useful content is a little more than 1/3 of my screen width
 
I use this site for its monospaced text input usually
 
This bug amuses me. I wrote a Stylish theme to always show the my rep and badges in the top bar (they're hidden by default at 960px browser width), and to make ample space for it, I hid the badge icons.
 
Which Firefox extension is the best for custom stylesheets?
 
2:30 PM
Chrome
 
@Mr.Xcoder Dyalog is a company.
 
ngn
@BetaDecay i use greasemonkey for both custom js and css
 
@Dennis lol I made a typo because I've been around Adám for too long :P
 
@BetaDecay Firefox also had Stylish. But I just found this...
> Google and Mozilla have removed the Stylish browser extension from their respective add-on stores after the publication of a report this week that accused the extension of logging users' browser histories and sending the data to remote servers.
 
2:34 PM
Yeah, I thought I heard bad stuff about Stylish
 
It's a little funny that Google would block an extension for sending your browsing history to remote servers though.
 
0
A: Sandbox for Proposed Challenges

Jeff ZeitlinMingle and Select The programming language INTERCAL has two operators, "mingle" or "interleave" (represented by $), and "select" (represented by ~). Mingle takes two 16-bit values and produces a 32-bit value by taking single bits alternately from its left and right operands, and concatenating t...

 
@BetaDecay Stylus is an open-source fork that has more features and appears to be backwards-compatible.
 
ngn
2:51 PM
and if you decide to go with greasemonkey, this is how to add custom styles:
// ==UserScript==
// @name tio
// @include tio.run*
// ==/UserScript==
document.head.insertAdjacentHTML('beforeend',`
<style>
  textarea,input,textarea.output{background:#000;color:#fff}
</style>
`)
 
@Dennis That's perfect thanks
 
3:08 PM
1
Q: When in Rome, Count as Romans do?

Rushabh MehtaBackground This challenge is inspired by this website, which published the following diagram: This diagram shows us that the longest Roman Numeral expression under 250 is that of 188, which requires 9 numerals to express. Challenge The standard symbols used to express most Roman Numerals ar...

 
does anyone know if there is any Datums out there, on the average number of times per day a judge strikes their gavel
 
.oO ( Datums makes my stomach hurt. )
About 10 minutes ago, I tried to import this gist (single revision, 70 short lines of code), creating a GitHub repository. Why on Earth is that taking so long?
> Preparing your new repository
There is no need to keep this window open, we’ll email you when the import is done.
Seriously?
 
@quartata You could count the times someone like Judge Judy does in a half-hour show, understand that it's be dramatized, and extrapolate.
 
i have reels of every episode of Law and Order will that work
I could go down to the courthouse like a normal human being
It's right next door
but i Choose not to, for science
 
You could dispatch a drone carrying a microphone
 
3:18 PM
cor
thats actually genius because we have a drone usage quota for the month and bombing islands is difficult when the islands are constantly moving
 
Why are islands constantly moving? Are you confusing islands for whales again?
 
no no
maybe moving is a bad choice of words
you pick a spot, maybe an island is there, maybe it isnt. try again later.
 
If you're suddenly seeing islands that weren't there a few minutes ago, drones may not be enough to solve your problems.
 
I hear that there's a website that tells you which spots there are islands at
 
@Dennis true but Im not exactly in a position to say that yet
Philosophically speaking, we're doomed
That's why they take it out by buying more drones I suppose
@Pavel if it's Google Earth that thing doesn't work
malicious false advertising
 
3:26 PM
@quartata I was talking about wikitravel, those guys know their stuff
 
@quartata Yeah, Google Earth shows that Finland exists, for example.
 
@Pavel To be honest I thought this was going to be a setup for a Trivago joke
@AdmBorkBork yeah or england
 
@AdmBorkBork That's just part of the UN conspiracy.
 
@quartata I was trying but couldn't think of one
I'm not very good at coming up with jokes
 
4:24 PM
TIL: The Fedora repos contain apt-get, which is specially configured to use rpm instead of dpkg.
It doesn't actually work, but that's ok
> dpkg
> This package provides the low-level infrastructure for handling the installation and removal of Debian software packages.
> This package also contains dselect, an interface for managing the installation and removal of packages on the system.
> dpkg and dselect will certainly be non-functional
 
4:39 PM
0
A: Sandbox for Proposed Challenges

Beta DecayCount Like a Babylonian code-golf number Challenge Given an ASCII representation of a Babylonian number as input, output the number in Western Arabic numerals. Babylonian Numeral System How did the Babylonians count? Interestingly, they used a Base 60 system with an element of a Base 10 syst...

 
4:51 PM
Makefile:6: *** missing separator (did you mean TAB instead of 8 spaces?).  Stop.
Make gets it.
 
A single tab to replace 8 spaces?
That's disgusting
 
It's also the default tab width on *nix.
 
I always set my editor to render tabs as 8 characters wide, and use 8 spaces in languages that mandate spaces.
 
Hmm
 
[*]
indent_size = 8
indent_style = tab

[*.fs]
indent_style = space
^ My entire .editorconfig
 
5:06 PM
.nanorc is to nano as .editorconfig is to...?
 
edito? lol
 
@Dennis Everything. .editorconfig is a standard implemented by VSCode, Atom, and several other editors.
 
@PhiNotPi editoonfig
 
editoonfig: the editor of cartoon figures
 
5:11 PM
Definitely not "everything", as I don't see a plugin for nano.
 
Ok, almost everything that anyone still uses
I'm pretty sure nano doesn't even support plugins
 
I (and others might also) use nano just because it's easier to type "nano" in the terminal :P
 
Is it possible to have a unix shell running on Windows?
 
Surely not that much easier than typing vim or subl or code or atom or whatever editor you want to use
@BetaDecay Yes, several ways
 
I'm pretty sure that's a Windows built-in
 
5:13 PM
WSL, MinGW, and Cygwin are the common ones
 
@BetaDecay you mean without virtualization, and without Windows Subsystem for Linux?
that'd be MinGW and Cygwin if you aren't on Win10
 
@ThomasWard I think so. I don't really know what those words mean though
 
@Pavel Considering that I wrote TIO and most of my esolangs in nano, I dispute that nobody uses it. :P
 
@Dennis I accounted for nano with "almost", that "anyone still uses" part was to discount things like ed and text editors made decades ago
@BetaDecay WSL is like wine, but the other way around. Virtualization is a virtual machine/emulator
 
5:15 PM
failing those two, then MinGW and CygWin are the two other ways to get a Unix/Linux shell on Windows.
 
I'll just follow this: howtogeek.com/249966/…
 
(and if you don't have installation rights on your system and aren't the admin of the system, then you're out of luck)
 
Cygwin and MinGW are just a bunch of GNU and Posix stuff compiled to run natively on Windows
2
@BetaDecay That's WSL
Which, as I mentioned, is basically reverse wine
 
Sounds good
 
you have a couple options, Debian, Ubuntu, and OpenSUSE. The OpenSUSE WSL is, uh, slightly broken
 
5:22 PM
Wow Debian is only 73.5 MB?
 
It's super minimal
Also, instead of an actual kernel it points to a special WSL kernel that's installed seperately as a Windows feature
 
also consider AvocadOS as a super-minimal OS
 
AvacadOS is special
 
> A Revolutionary Operating System Running jQuery
I'm sold
 
Shame no one works on it anymore
 
5:29 PM
^ = precisely the reason you shouldn't use something for production, if true
 
wut
:D
 
what the heck about privacy lol
 
@BetaDecay That's the normal sudo message
It happens the first time you run sudo
 
Huh never seen that before
 
the weird thing is that it's trying to lecture you about privacy when that is none of anybody's concerns for that specific command
 
5:36 PM
@BetaDecay Weird,
 
Maybe it's because I've only ever used Raspbian and Ubuntu, not Debian
 
@EriktheOutgolfer That's a real concern on multi-user computers. There is no way of shielding your private data from another user with root privileges.
 
@Dennis Encryption?
 
other than making sure the other user is trustworthy, which isn't error-free
 
@BetaDecay No, it's a standard sudo message
It's not os-specific
 
5:46 PM
As long as you don't use the files, encryption works.
But if you decrypt them for yourself, even if only in RAM, root has access.
 
Ah
 
big root is watching
 
Anonymous
@ThomasWard Cygwin doesn't require special privileges for a single-user install
 
@Pavel Really? I've only seen that message on Debian and Debian-based distros
 
@J.Sallé I've seen it on also Fedora, OpenSUSE, and Arch
 
5:54 PM
@Pavel ah, that might be it. I don't think I've used any of those
 
The only difference on openSUSE is that it asks for root's password instead of your own.
 
@Dennis What if you don't set a root password?
I heard it's bad practice
 
The installer makes you iirc.
 
Been a while since I've used the installer
 
@Mego the more you know, unless they lock down so no installers run. there are GPOs in Win10 that can do that unfortunately.
 
5:58 PM
in talk.tryitonline.net, Feb 5 '17 at 5:08, by Dennis
@Pavel Having a root password is a security flaw.
 
even for user-space targeted installs.
 
Anonymous
@ThomasWard I don't know how Windows could reasonably and accurately determine whether or not an arbitrary program is an installer
 
@Mego magic numbers in the file maybe, or by extension or metadata.
 
I mean if the extension is .msi
Pretty obvious
 
but some environments are extremely locked down with other software that does that type of lockdown too
(you're right not sure on the accuracy, but they can lock things depending on the security suites and GPOs in place)
but... Windows, so...
shrugs
 
6:00 PM
.msi is Windows Installer, which is different from .exe
 
(this is why I'm a linux user... heh)
 
@Mego My school computer had the sledge-hammer approach of blocking exes that didn't come from the software center
 
@Pavel I wholeheartedly agree with myself. ;) That's just openSUSE's default behavior.
 
6:47 PM
oh no, now people will have a good reason to post downright over main without expecting us to downvote and close their challenges!
 
ngn
7:35 PM
@Pavel first thought: why would a school care where your ex comes from?! second though: I shouldn't be reading chat history bottom-up...
 
7:53 PM
lol ... just got a ticket with an error message "Unable to install printer 'CA9061-PRT404': Printer not found on network."
 
8:41 PM
0
Q: Goldbach's Comet

Rushabh MehtaBack to back challenges I guess. Hopefully this one is more clear than the last. Background I was playing around with Goldbach's conjecture, and decided to plot evens (on the x-axis) vs the number of ways that two primes could be found to sum to a given even on the y axis. The two plots I've m...

 
0
A: Sandbox for Proposed Challenges

Rushabh MehtaGoldbach's Comet I was playing around with Goldbach's conjecture, and decided to plot evens (on the x-axis) vs the number of ways that two primes could be found to sum to a given even on the y axis. The two plots I've made below in Python are for 10,000 and 1,000,000 evens. The structure of...

 
It spent 3 minutes and 13 seconds in the sandbox... that's gotta be some sort of record
 
lol remember Lembik's challenges?
 
 
2 hours later…
11:15 PM
i just crossed 3k rep
 
11:59 PM
starting too many of my tweets with gerunds. please to teach me a different verb form please.
 

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