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.
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Hanh
146 Posts
March 15 2017 11:25 GMT
#17201
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
March 15 2017 12:06 GMT
#17202
+ 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
March 15 2017 13:00 GMT
#17203
edit: i lie. i looked now. his solution makes sense :/ damn | ||
mantequilla
Turkey773 Posts
March 16 2017 09:43 GMT
#17204
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Askelad
France20 Posts
March 16 2017 10:04 GMT
#17205
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
Poland17047 Posts
March 16 2017 12:08 GMT
#17206
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Nesserev
Belgium2760 Posts
March 16 2017 12:09 GMT
#17207
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Acrofales
Spain17187 Posts
March 16 2017 14:49 GMT
#17208
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Deleted User 3420
24492 Posts
March 16 2017 15:50 GMT
#17209
... and I hope I never will | ||
Prillan
Sweden350 Posts
March 16 2017 16:50 GMT
#17210
https://asciinema.org/a/4imqasv42pqalf641v8zg66do Edit: Almost forgot, press Ctrl+R again to jump to the next match. | ||
tofucake
Hyrule18775 Posts
March 16 2017 16:51 GMT
#17211
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Acrofales
Spain17187 Posts
March 16 2017 17:28 GMT
#17212
aptget install thefuck fuck fuck fuck FUUUUUUCK | ||
emperorchampion
Canada9496 Posts
March 16 2017 19:06 GMT
#17213
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Thaniri
1264 Posts
March 16 2017 19:08 GMT
#17214
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Manit0u
Poland17047 Posts
March 16 2017 23:01 GMT
#17215
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 | ||
Manit0u
Poland17047 Posts
March 17 2017 02:16 GMT
#17216
This site is magnificent. | ||
ShoCkeyy
7815 Posts
March 17 2017 13:47 GMT
#17217
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Thaniri
1264 Posts
March 17 2017 22:39 GMT
#17218
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
March 17 2017 23:26 GMT
#17219
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tofucake
Hyrule18775 Posts
March 18 2017 02:03 GMT
#17220
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