Indeed, an integer is divisible by 3 if and only if the sum of its digits is divisible by 3.

For proof, take the polynomial representation of an integer n = a_0 * 10^k + a_1 * 10^{k-1} + … + a_k * 1. Note that 10 mod 3 = 1, which means that 10^i mod 3 = (10 mod 3)^i = 1. This makes all powers of 10 = 1 and you’re left with n = a_0 + a_1 + … + a_k. Thus, n is divisible by 3 iff a_0 + a_1 + … + a_k is. Also note that iff answers your question then; all multiples of 3 have to, by definition, have digits whose sum is a multiple of 3

I see your encourageMint and raise you

That’s some high IQ usage of a meme. Lemme see if I’m getting this right:

• the total area of the image ( = RHS of the equation) is 1
• you divide the image into 4 parts so that the area of 1 part is is 1/4 ( = 1/2^(2*1)). You take the first three quarters and leave the fourth quarter for recursion (I’ll call it x1). That gives you 3(1/4) + x1 = 1
• now you take x1 and do the same with it. This time, the area of each sub-quarter is 1/16 ( = 1/2^(2*2)). Three such sub-quarters and a leftover x2 gives you 3(1/16) + x2 = x1. Put this back into the first equation to get 3(1/4 + 1/16) + x2 = 1.
• repeat until infinity; each time the area of the resulting tile is 1/4 of the previous tile (which is the 2n in the exponent part)

Edit: imma remove all markdown since it doesn’t seem to work, at least on liftoff. Enjoy the lisp-like mess

That’s fair too. I was just trying to get some use out of my old device, but I think it’ll be better if I simply use to run some CLI tools via SSH that I don’t want running on my main device :P

Going for a RasPi might be a bigger hassle for me due to the market, but I suppose I can try the rest on my laptop as easily. Thanks!

Ah now it makes a lot more sense. I’ll have to stick with things like overlay network simply because my ISP is super unreliable (for example, I’m out of wifi right now because of mildly incovenient weather lmao)

Haha I think it’s best if I stop running towards just getting my own server up and actually learn this stuff instead, regardless of how long it takes. I’ll try to follow through on this, thanks again for all the help :D

That’s super cool, I’ll check it out. Thanks a lot!

Oh I’ve never heard about openwrt, but it sounds interesting. I’ll check it out, thanks!

Understood. Guess I’ll figure out setting up all the services before I get to figuring out putting them beyond my local network. Thanks!

I’ve been putting off learning docker for a while now, guess it’s finally time to dive right into it. Thanks for the info about freshrss, I’d been looking for ways to get more into cybersecurity and this might be it

Welp, port-forwarding seems to be the major issue then, since I’m soon going to shift to an institutional wifi where I may (not) have access to the router. But you’re right, I should try getting familiar with what I have first lol. Thanks!

I did try launching a website on my local network, but widening it to the public network is what I was confused about, like you said. But the idea of overlay network sounds interesting, I’ll give it a shot. Thanks!

This is what I was planning to go with, until I read a couple posts/comments here about privacy issues with this approach (something something cloudflare has to read every incoming request to stop spam). By VPN, you mean I just connect the server to a VPN and put the VPN’s address as my server’s address?

Wait, does Docker work without me setting me the IP address and all that stuff too? Coz that’s the stuff I’m more confused about. At least in my head, setting up docker is just launching the service and, optionally, setting reverse proxy. But wouldn’t that work solely on my own device instead of the internet?

Oh interesting (now, if only I can recall this the next time I need it)

Holy shit dude, that was actually very helpful! I’ll need a few more go-throughs to fully grasp every piece here, but thanks a ton for writing it so precisely.

Based on this though, is there no way to have port-forwarding except setting it up explicitly in my router? I ask this because 1) in my personal setup, I’ll be switching between wifi and mobile data quite often, and 2) I may end up on an institutional wifi after some time, in which case I won’t have access to the router

DISINGENUOUS COUNTER-ARGUMENT WITH SLIGHT PERSONAL ATTACK

EDIT: TYPO

Basically this. I just read it as “exhibition + sale”. Also, yo is this not common knowledge? I’ve seen this thrown around everywhere (I mean the phrase) and thought the whole world uses this phrasing (o_O )

More like “-20459 will be my year”