7 ms·
Sexy prime
- azhenley 8y agoNumberphile video on sexy primes: https://youtu.be/WJ12DYBuazY https://youtu.be/WJ12DYBuazY This is one of my favorite youtube channels. They make videos on various math topics that are understandable by laypeople.
- sonofgod 8y agoNow earwormed to the tune of "baby shark". Also, Mersenne Prime, Happy Prime, Lucky Prime etc...
- ecesena 8y agoLast year both my sister and I, and my mom and dad had sexy prime years. The coolest thing is that all my family of 5 had a prime number of years, pretty incredible. I wrote about it here: https://medium.com/@0x0ece/primes-twin-primes-and-my-moms-bday-14188d149b57 https://medium.com/@0x0ece/primes-twin-primes-and-my-moms-bd...
- hughdbrown 8y agoLast year my family was all prime: 5, 7, 47, and 53. Six years from now, we will be 11, 13, 53, and 59. And then 36 year from now when the kids are approaching middle age.
- anonytrary 8y ago> In an arithmetic progression of five terms with common difference 6, one of the terms must be divisible by 5, because 5 and 6 are relatively prime. Thus, the only sexy prime quintuplet is (5,11,17,23,29); no longer sequence of sexy primes is possible. Pretty neat.
- throwawaymath 8y agoThey're primes which are separated by exactly six non-prime numbers. It remains an open question whether or not there are infinitely many sexy primes. More generally, see the article on prime gaps: https://en.m.wikipedia.org/wiki/Prime_gap https://en.m.wikipedia.org/wiki/Prime_gap
- jfk13 8y ago> They're primes which are separated by exactly six non-prime numbers. That doesn't match what the article says: "prime numbers that differ from each other by six". So they're separated by five other numbers (which are not necessarily all non-primes).
- LanceH 8y agoSeparated by five natural numbers.
- moate 8y ago5,11 pair runs counter to this definition. .
- jjtheblunt 8y agoseparated by is 1 less than the difference, so separated by 5 composite numbers is what you meant? i mean it's just a wording issue.
- throwawaymath 8y agoYes, that’s what I meant. Thanks for the charitable correction. Great to see the HN tradition of downvoting for an off by one error continues strong as well...
- deleted 8y ago[deleted]
- jakobegger 8y agoIs there any practical use to these classifications? It seems to me that lager primes are distributed more or less randomly, so I don't really see the point of looking for constellations like this. Am I missing something?
- madrox 8y ago> Am I missing something? Probably just a sense of humor
- Sohcahtoa82 8y agoPretty common on HN.
- teej 8y ago> random https://en.wikipedia.org/wiki/Ulam_spiral https://en.wikipedia.org/wiki/Ulam_spiral
- erikig 8y agoThat 41 Ulam Spiral is quite beautiful...
- saagarjha 8y agoIt's a specific case of a prime gap, which might help solve some open problems in the field of number theory.
- klank 8y agoTo extrapolate on your point for those interested: The analogy I'd give is from physics. Understanding the prime number structure is like understand how an arbitrarily complex 3-dimensional shape will interact with another equally arbitrarily 3-dimensional complex shapes (let's just assume rigid-body interaction here). But it should be intuitively obvious that starting with the question you want to answer "how do arbitrarily complex shapes interact" (the analog, in our example, to "how are arbitrary primes structured") is too big an undefined question to answer directly. Maybe somebody will be able to do it, but most likely it will be solved by breaking it into smaller, incomplete, but accurate models that though comparing and contrasting (e.g. why do circles interact differently than squares) and combination (e.g. I know circles interact, I know how squares interact, I can now define a grand circle/square unification theory that describes how circles and squares interact) . So, you break the problem down into questions like "how do circles interact?", "how do squares interact?", "how do one-dimensional shapes interact?", "2D?". By identifying subclasses of the overall uber problem it's possible to solve a hard larger problem. Back to the primes example, each different metric for defining a relationship between primes effectively defines a new class of primes that can be probed to figure out why they act in the way they do and how they are distributed. Each class of prime is a (probably, but not necessarily) incomplete yet accurate model for how all primes operate overall.
- samirillian 8y ago69 is actually the sexiest prime
- chocolatebunny 8y ago69 isn't prime. it's 23x3. I think this is why I'm alone.
- bartfast 8y agomaybe that's why we're on HN
- dumbfounder 8y ago67 and 73 are the sexiest primes because they straddle 69.
- diminoten 8y agoThey didn't have the guts to call a prime triplet involving a sexy prime a threeway or ménage à trois? Boo!
- bthrn 8y agoCame here to say that. I was going to recommend it be called a prime threesome though.
- tacokitty 8y agoStupid sexy prime numbers
- topkai22 8y agoThis is clickbait done right.
- ngcc_hk 8y agoInteresting we call, a topic never will know as it is not too sexy. Just number even one may say, but why they have patterns.
- nitramm 8y agoThis page contains visualization of sexy primes up to 1 million - https://prime-numbers.info/article/sexy-primes#visualization https://prime-numbers.info/article/sexy-primes#visualization You can also compare their density with normal primes on this page - https://prime-numbers.info/special/visual-type-comparison#sexy-prime--prime--1 https://prime-numbers.info/special/visual-type-comparison#se... Best thing is that you can enjoy those videos for 11 hours. :)
- joshuawright11 8y agoSounds like the name of an Amazon adult streaming service
- userbinator 8y agoBefore reading the article I thought it would be about prime numbers which encode erotic images in a similar fashion to https://en.wikipedia.org/wiki/Illegal_prime https://en.wikipedia.org/wiki/Illegal_prime . (in which case if the image depicts a minor, it would be a sexy illegal prime...)
- kyle-rb 8y agoWebsite displaying random pairs: http://primes.sexy http://primes.sexy