Primes are like Weeds (PNT) - Numberphile
video description
Date: 2022-04-08
Related videos
Comments and reviews: 9
NFSHeld
I just realized the insane amount of abstraction Maths has. At 6: 25 he literally said -If you pick any number, let's pick n, .-. Usually, everybody would say -Erm. 'n' of all things you could've picked is not a number, it's a letter. - But in Maths, everybody is fine with it. Imagine there was some weird field of science where you'd say -Pick any vowel, let's pick 'k', .- and everybody silently nods and goes on to listen the rest of the sentence. It's so weird in a sense.
reply
I just realized the insane amount of abstraction Maths has. At 6: 25 he literally said -If you pick any number, let's pick n, .-. Usually, everybody would say -Erm. 'n' of all things you could've picked is not a number, it's a letter. - But in Maths, everybody is fine with it. Imagine there was some weird field of science where you'd say -Pick any vowel, let's pick 'k', .- and everybody silently nods and goes on to listen the rest of the sentence. It's so weird in a sense.
reply
Krystof
I'm amazed that I've never before wondered about this before, but since the primes are getting sparser all the time, is there a ratio alpha (I. e. a number of primes less than a given number n) that this tends towards? I mean, the ratio can't tend towards 0 since there are infinitely many primes but it's still getting smaller all the time.
reply
I'm amazed that I've never before wondered about this before, but since the primes are getting sparser all the time, is there a ratio alpha (I. e. a number of primes less than a given number n) that this tends towards? I mean, the ratio can't tend towards 0 since there are infinitely many primes but it's still getting smaller all the time.
reply
lessur
hi. i just noticed. what proof do you have that x/lnx as x approaches infinity is equal to 1? because if u try to use calculator and increase the value of x little by little, you will get infinity too. assume x/lnx has a limit, then you can use lhopitals rule right?
because inf/inf. then =1/(1/x) =x = inf not 1. pls help
reply
hi. i just noticed. what proof do you have that x/lnx as x approaches infinity is equal to 1? because if u try to use calculator and increase the value of x little by little, you will get infinity too. assume x/lnx has a limit, then you can use lhopitals rule right?
because inf/inf. then =1/(1/x) =x = inf not 1. pls help
reply
oosveluzo
hi Numberphile try the triangle prime number and make a video about it. is way better than the spiral number. start trianble with 234, then 56789, then 10 11 12 13 14 15 16. and so on. is more easy to understand than the spiral and more amazing. there is no primes in between columns its amazing. try it is worth!
reply
hi Numberphile try the triangle prime number and make a video about it. is way better than the spiral number. start trianble with 234, then 56789, then 10 11 12 13 14 15 16. and so on. is more easy to understand than the spiral and more amazing. there is no primes in between columns its amazing. try it is worth!
reply
Martin
Nice video, one thing thoug; I'm afraid you calculated 5. 5 milliard, instead of 5. 5 billion. Not a real bit deal, the US-Americans have that messed up permanently, and for that reason, English actually allows this mistake now. I thought I would point it out though.
Thank you for the video.
reply
Nice video, one thing thoug; I'm afraid you calculated 5. 5 milliard, instead of 5. 5 billion. Not a real bit deal, the US-Americans have that messed up permanently, and for that reason, English actually allows this mistake now. I thought I would point it out though.
Thank you for the video.
reply
frogindeed
I love your primes Dr Grimes but your acronyms need polishing. Acro = initial, nym = word.
PNT is not a word (unless, perhaps, you pronounce it punt. But in any case there's a much more elegant way to say -three-letter [non]acronym-. The word is trigram. It even sounds mathematical.
reply
I love your primes Dr Grimes but your acronyms need polishing. Acro = initial, nym = word.
PNT is not a word (unless, perhaps, you pronounce it punt. But in any case there's a much more elegant way to say -three-letter [non]acronym-. The word is trigram. It even sounds mathematical.
reply
Vishwam
If primes over a 100cannot be more than 1. 2p, and that gap keeps on decreasing, doesn't that mean that there would be finite amount of primes because at that rate that number must go to 1 and obviously p and 1p are equal. So primes would have to stop somewhere
reply
If primes over a 100cannot be more than 1. 2p, and that gap keeps on decreasing, doesn't that mean that there would be finite amount of primes because at that rate that number must go to 1 and obviously p and 1p are equal. So primes would have to stop somewhere
reply
Johnny
I was doing some math and found that (2n)+(n-2)-1 created primes very well if n is even. Example: (2 x 99922222222220)+(99922222222220-2)-1 is prime. I also saw that up to 200 being n (leaving out odd numbers) it spit out a prime 42% of the time.
reply
I was doing some math and found that (2n)+(n-2)-1 created primes very well if n is even. Example: (2 x 99922222222220)+(99922222222220-2)-1 is prime. I also saw that up to 200 being n (leaving out odd numbers) it spit out a prime 42% of the time.
reply
Spinn4ntier
Division is the only basic function that converges instead of diverges
Addition and multiplication tend towards infinity while subtraction diverges to negative infinity
Division converges to 0
reply
Division is the only basic function that converges instead of diverges
Addition and multiplication tend towards infinity while subtraction diverges to negative infinity
Division converges to 0
reply
Add a review, comment
Other channel videos
