EPTProve that for any prime number p >= 5, there is an integer n such as
p*p - 24n - 1 = 0
This does not require any math beyond high school level.
The Big Programming Thread - Page 861
| Forum Index > General Forum |
Thread Rules 1. This is not a "do my homework for me" thread. If you have specific questions, ask, but don't post an assignment or homework problem and expect an exact solution. 2. No recruiting for your cockamamie projects (you won't replace facebook with 3 dudes you found on the internet and $20) 3. If you can't articulate why a language is bad, don't start slinging shit about it. Just remember that nothing is worse than making CSS IE6 compatible. 4. Use [code] tags to format code blocks. | ||
|
Hanh
146 Posts
Prove that for any prime number p >= 5, there is an integer n such as p*p - 24n - 1 = 0 This does not require any math beyond high school level. | ||
|
meatpudding
Australia520 Posts
+ Show Spoiler + By eliminating p divisible by 2 or 3 then we can say for some integer a > 0 that p = 6a + 1 or p = 6a + 5. Then show that 24 | (p.p - 1). 1st case: (6a + 1)(6a + 1) - 1 36a.a + 12a + 1 - 1 12a(3a + 1) If a is even then 24 | 12a If a is odd then 3a + 1 is even and 24 | 12(3a + 1) 2nd case: (6a + 5)(6a + 5) - 1 36a.a + 60a + 25 - 1 12a(3a + 5) + 24 Same argument as above. For p = 5 (not covered in these examples) observe that with n = 1 gives p.p - 24 - 1 = 0. | ||
|
Deleted User 3420
24492 Posts
edit: i lie. i looked now. his solution makes sense :/ damn | ||
|
mantequilla
Turkey781 Posts
| ||
|
Askelad
France20 Posts
On March 16 2017 18:43 mantequilla wrote: I hate proofs. Lucky that I didn't have to deal them much. Proving something that looks uncertain is cool but proving something that we know it's true for years is a weird mental process. Imo they should teach it by proving things which really need proving, like things not obvious to be true or false at the first look. I fail to understand the problem. Just like you learn coding by programming easy stuff which has already been done thousands of times and probably already exists as a function/library, you learn to do proofs by proving easy stuff. If you're having a hard time writing down a proof for some easy stuff you're probably not ready to prove hard stuff? | ||
|
Manit0u
Poland17750 Posts
![[image loading]](https://www.commitstrip.com/wp-content/uploads/2017/02/Strip-La-flemme-de-retaper-650-finalenglsih-1.gif) | ||
|
Nesserev
Belgium2760 Posts
| ||
|
Acrofales
Spain18295 Posts
| ||
|
Deleted User 3420
24492 Posts
... and I hope I never will | ||
|
Prillan
Sweden350 Posts
https://asciinema.org/a/4imqasv42pqalf641v8zg66do Edit: Almost forgot, press Ctrl+R again to jump to the next match. | ||
tofucake
Hyrule19215 Posts
![[image loading]](https://raw.githubusercontent.com/nvbn/thefuck/master/example.gif) | ||
|
Acrofales
Spain18295 Posts
aptget install thefuck fuck fuck fuck FUUUUUUCK  | ||
|
emperorchampion
Canada9496 Posts
| ||
|
Thaniri
1264 Posts
| ||
|
Manit0u
Poland17750 Posts
On March 17 2017 04:08 Thaniri wrote: Whoever decided to rename Angular2 to just Angular is an evil bastard. It's impossible to google anything because search indexes aren't distinguishing between Angular and AngularJS........ But Angular2 is sooo 2016 ![[image loading]](http://www.commitstrip.com/wp-content/uploads/2016/05/Strip-Pepperidge-farm-650-finalenglish.jpg) | ||
|
Manit0u
Poland17750 Posts
![[image loading]](https://www.commitstrip.com/wp-content/uploads/2017/01/Strip-Bedtime-paradox-english650-final.jpg) This site is magnificent. | ||
|
ShoCkeyy
7815 Posts
| ||
|
Thaniri
1264 Posts
I'm building a static page that takes 4.5 seconds to load. All it does is show some text and images and utilize the Angular router. ~25kb of images but vendor.bundle.js is a whopping 2.7mb. I remember when I was learning web development my teacher told me that if a page is > 1mb and it isn't a web application you're doing something wrong. Angular really bothers me on a deep level but I don't feel like I'm a good enough programmer to articulate why its bad. edit: I swear that as soon as I post something somewhere online I find the solution to my problem immediately. Here I am bitching about wasted kilobytes and I'm sending packets to a starcraft forum for no reason. https://angular.io/docs/ts/latest/guide/router.html they renamed it from hashbang to hashlocation.................. | ||
|
WarSame
Canada1950 Posts
| ||
|
tofucake
Hyrule19215 Posts
| ||
| ||
