78557 and Proth Primes - Numberphile
Вставка
- Опубліковано 4 чер 2024
- James Grime is back and talking prime numbers.
Check out Brilliant.org by using the link: brilliant.org/numberphile (20% off premium subscription)
More on prime numbers: bit.ly/primevids
James Grime: singingbanana.com
Editing by Pete McPartlan
Music by Alan Stewart
Read about Sierpinski Numbers: en.wikipedia.org/wiki/Sierpin...
PrimeGrid: www.primegrid.com
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science.
NUMBERPHILE
Website: www.numberphile.com/
Numberphile on Facebook: / numberphile
Numberphile tweets: / numberphile
Subscribe: bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: / numberphile
Brady's videos subreddit: / bradyharan
Brady's latest videos across all channels: www.bradyharanblog.com/
Sign up for (occasional) emails: eepurl.com/YdjL9 - Наука та технологія
We should just call him James Prime at this point
You went for that when you could've had "Grime prime"? Shame.
You've heard of elf on the shelf. Now get ready for prime on the Grime
Prime Grime, taking us down maths paths.
Grime Primes and Parker Squares
That belongs to James Maynard
It's Grime prime time? Sublime.
Boi
that is an all-time rhyme
I love you
this comment is divine
cringe time
"You may notice that one of them stands out. One of them is not quite like the others."
Well, it is vibrating and surrounded by stars for a start.
I think they are named after Colbert because Terence Tao went on his show, and Colbert asked him to name the largest primes after him
... and the "truthiness" angle. Stephen Colbert coined the term.
Micha Berger I had no idea. Thanks for the info ☺️
wwell theyll get solved now Colberts lost his SJW power now its no longer the """"current year""""
6lettersshadow can we not do this on a maths video? Is there a need to politicize this?
youre sure avoiding politics there by pushing it further. He isnt triggering anything after becoming irrelevant
JAMES GRIME
TALKIN PRIMES
HE DOESN'T NEED TO RHYME
TO COMBINE
THIS LOVE OF MATHS OF MINE
WITH HIS SPARE TIME
TO MAKE A VIDEO THAT'S REALLY FINE
WHEN HE'S NOT HERE I PINE
THINKIN ABOUT THE NUMBER NINE
WHILE I DINE
ON THIS TASTY COSINE
@11S53 LIAW ZHONG-WEI better than getting a tan(gent) line
"Truthiness" wow, that's such an amazing made-up word
Van Joshua Aspiras Wonder who came up with that
If you want a "real" word that means the same thing, try "verisimilitude". But "truthiness" is cuter.
All words are made up words.
It's an unofficial official word of Numberphile.
Programmers use it all the time when describing different values used in a Boolean expression. See also falsiness, the homologous antonym.
Nail and gear in the background. 👌🏼
DorFuchs ist hier :D Meine Mathewelt wird immer schöner ^^
DorFuchs what does that mean
I almost thought it was CGP Grey's logo.
I still hate you for that quadratic formula song, you know. Can't get it out of my head.
(just an idea, how about making something mathy in English?)
"DorFuchs" is a dialectic reading with the saxon-dialect of the german word and his article "Der Fuchs" what means "the fox". I hope i explained it in an understandable way :)
happy prime day my man
11/13/17
If you write it as 11132017 than 13 and 856309 are its other factors
I have missed James Grime Prime Videos.
Astonishing that during the entire video, the name of the project that got us down to those 6 values, Seventeen Or Bust, was not uttered. A lot of us put in a lot of computing time to crack it that far! I think the name at least deserved a mention.
Is "Seventeen Or Bust" the name of the project?
The placement in the comment feels syntactically odd.
It was the name of the project, yes.
What about the remaining 6 "possible candidates"? If Selfridge could prove that 78557×(2^n)+1 would always be divisible by one out of a small and well-defined group of small primes, then whatever method he used for coming up with this proof, has anyone tried to find a similar proof for the 6 smaller candidates? I suppose people have tried without success, and that that may be part of the reason James "feels" that 78557 is the smallest. But it would be nice to know if the method have been tried and what the outcome was. So do you know?
The name of the project isn’t relevant. Nobody cares how much time you wasted. It’s not like you had anything better to do, anyway, nerd.
He didn't even name the hungarian guy who eliminated 10223 from the list, I think he deserves the credit.
his name is Sum Guyin Hungary
Szia.
Annun Gariangai.
Szabolcs Peter is the guy's name.
kwarsha to be fair , you didnt either
Great WØRD reference there at the end! 😀👍
This is one of my favorite Numberphile videos!
Welcome back professor. Please continue to share your knowledge and love of math with the world.
Nice. A subject that I'm familiar with but didn't expect a Numberphile video about it.
James Grime is the guy who got me into math with his singing banana videos. My favourite was the shortest road network thing with the soap experiment about local and global minimums. That or the Benford's law thing.
I don't understand a single thing most of the time, but watch the videos regardless because I enjoy the enthusiasm of you guys talking mathematics :)
I just learned about the Catalan number in discrete math class and this thing is AMAZING ! It describes so many different problems. I know it is not related to primes, but I'd love to watch Dr Grimes or Matt Parker (or anyone else as a matter of fact) explaining it!
Colbert has had a lot of things named after him because he's lobbied for it on the old Colbert Report. He probably had a mathematician on his show and explicitly asked to have a math term named after him.
Supernova Kasprzak he did have Tarence Tao on, but he wasn't talking about this problem
I appreciate it that you had Wacław Sierpiński written with the correct letters
would have loved to have seen some discussion on how the original 16 candidates were found, how it's determined that they always have factors...
It's always nice seeing Dr. James Prime doing his thing.
I had the privilege of seeing James talk about codebreaking at Salford University last Thursday
-(e^iπ)st!
Ok, so this is the only "first!" comment that I've ever thumbed up. Hilarious! :)
David Stagg same! Lol
e to the i pi = -1
-(-1) = 1
1st!
David Stagg same
-(e^(iπ +2kπ))st!
I'm glad that all the world is having fun doing maths!
Classic Numberphile video. I've been missing these!
A fitting video for the last consecutive prime date of the century!
It's nice to see James Grimes again.
Prime numbers+Dr James=Thumb up for the video
Its so good to see Numberphile is #27 on Trending. 😁
I mistakenly read prom in the title and now I would really like a video of someone asking James to prom please
James Grime is a true gift.
What I'd love to see is a compilation of mathematical phenomena that form some kind of triangular pattern. It seems there are quite a few of those.
Always nice to learn of new primes
Very interesting !
Wow, your excitement drew me in.
Truthiness
A new James Grime video!
For a quick check, the digits of 153 can be added (1+5+3=9) and the result is divisible by 3, meaning that 153 itself is divisible by 3.
In my program 47 was the lowest number that doesn't produce a prime this way. It might be a "double" overflow, but I take this as proof.
If all notice at 2:19 you will find 153 , which is Armstrong number which means 153=(1^3)+(5^3)+(3^3)😊😊😊
James video atlast. Yep. My movie can wait.
JAMES! Please do a Royal Institution lecture. Your enthusiasm is contagious, and I think it needs spreading! :)
I have been running this since the beginning of the year, highly encourage others to do the same (especially if they’re at uni and don’t pay for their own electricity)
I clicked this video because James Grime is worth my time
I love you Numberphile !
*sees my notifications* yay! I wonder what Dr. Grimes is gonna teach me today!
Greetings from Poland :)
GOOD..JAMES IS MY FAVORITE ON NUMBERPHILE...!!
2:45 I like the fact that your font has "ł" character but doesn't have a "ń".
Aciek25 There is a “ń“ ..?
Oh never mind now I get it...
@@lucifer4263 look at the size compared to the rest
I actually had to laugh out loud about the last sentence. Brilliant! There's more than one fan around.
There are also the so called Riesel numbers, related to the composite numbers k*2^n-1.
They were used to find families of noncotient numbers.
„brilliant“ is really a cool app, this is probably the first time i‘m happy about ads.
James Grime is my favorite in Numberphile.
Please make a video on the 7th largest prime as of now, Φ_3(−465859^1048576). It is listed as a Cyclotomic Polynomial prime, which I am curious to learn about.
Why does 78557 seem truthy. Please do a video on that! Great video as usual!
Because for 78557 and many other k-values they can find a "covering set" of primes where one of them will always be a factor for any value of n. For 78557 the covering set was {3, 5, 7, 13, 19, 37, 73}.
Since they have proved there are no covering sets for the remaining 5 k-values, they are almost certain there must be a prime eventually for some n.
For 78557*2^n+1 the factors divides like this:
3 is a factor for n=2,4,6,8,10,12,...
5 is a factor for n=1,5,9,13,17,21,...
7 is a factor for n=1,4,7,10,13,16,...
13 is a factor for n=11,23,35,47,59,71,.....
19 is a factor for n=15,33,51,69,87,105,....
37 is a factor for n=27,63,99,135,171,.....
73 is a factor for n=3,12,21,30,39,48,.....
It can be down that all these combined covers all values of n.
I love the prime videos!
James Grime is my favorite!
Any chance we can get a James Grime video on Gaussian primes? There has to be something cool to see when you put together primes and the complex plane.
That's a funny-looking number. It's like two people were having a big number duel and this happened:
"My number is 10,223 times two to the power of 31,172,165"
"Okay, that number you just said, plus one"
Oh! Oh! Oh! I think I can top that one…
Finally, a youtuber that has idea of Brilliant.org
Ive been using primegrid through bionc for a while now, bionc is easy to download and you can help the cause for not just the search for primes, but for nearly anything science related.
4:04 You can do that only if there 78557 is indeed the smallest. Because if there is a smaller one, you can't check that it's never ending by trying. The algorithm doesn't stop.
james grime is in his prime, talking about primes.. (hes almost 42 years old)
I’ve never seen someone so excited about numbers
This feels like it should lead to some kind of collatz type game where once you hit a prime you perform some operation and keep going
Wow! Just wanted a numberphile video!
I enjoy your enjoyment of math far more than enjoying the math itself.
I like how truthiness was a Colbert reference at the end
You came to my school today yay!
amazing
James has twice said: "If we can eliminate these candidates, we will have proved that 78557 is the smallest Sierpinski prime number". The use of future perfect in this conditional sentence has been on my mind for quite some time now, as I don't understand why he didn't use future simple "will prove" instead. I don't feel any past reference from a future point in this sentence, or from the given context. I am not a native speaker, but I am trying to master English, so if anyone can explain the usage of future perfect in this particular sentence, I will be very grateful.
You guys really improved your paper!
JAMES!!!!!!
How weird it must be to just have these random numbers stuck in your head and knowing exactly how important each one is.
Colbert is everywhere. TV, internet, emojis and now primes
It's useful to know this when you go shopping.
James Prime is back!
Hi Brady,
I really appreciate your ongoing hard work and wish you all the best.I have one question which I kindly request you to pass it to Dr. Grime which is: “what is the limit of x^2+x as x goes to infinity”?
Many thanks in advance.
Hussein
I really wish I had a maths teacher like this in school. Also, thanks for the link to primegrid, I have a lot of spare cpu/gpu cycles at home, which would you recommend downloading?
I mean sub-project, sorry if that wasn't clear.
Video suggestion: elliminate the last 5 candidates by hand, showing ALL work. As a bonus, you would set a world record for longest UA-cam video!
Classic Numberphile material.
big fan :) can you please explain the FFT reordering trick and how it works
keep up the prime vids!
Please do a video on how how they test 2^n + 1 primes
the software sound good, I may use my 12cores Xeon try to crack those number
I love those spinning Serpinski Triangle Pyramids.
It's Sierpiński to be exact ;)
@@Robi2009 Ah, sorry!
Wow, I’m watching this on the 5th year anniversary of its discovery 0:16
please make video on approximation techniques for tough number... please
I would love to see some more geometry vids
It takes a couple of days now on a desktop PC to check just one number. Apparently the n-value increases faster than CPU power. So I guess the Sierpinksi problem will be with us for quite a while longer.
Visual: spinning 3D Sierpinski gaskets
Audio: James Graham
Brain: completely stops listening
Wait, if there's are prime after you plug some value, can you find another prime after plugging a bigger value? And are the primes generated by it finite or infinite?
That's Numberwang!
I wonder when another James Grime Prime Time Quality Episodes.
at last james grime!!!
Did you upgrade your paper? Looks like it has some fancy ridges
Best date for this video 13.11.2017 all prime numbers!
There are two fields electric and magnetic which spin orthogonally with lines of masses created out of this fields. Some primes create matter and others anti matter. Usually smaller and smaller primes interaction are dark matter. Interaction between smaller and larger primes are just ripples and energy transfer and expansion and spins. The interaction between larger primes are matter sun and stars and galaxies. Larger twin primes are always stars. Interaction of larger distant primes are always atoms and elements and chemical reactions. Galaxies are extremely large twin primes.
Nail and Gear.
It's time to get numbery!!!
Nice to see you here too!
:)
Where else have you been? I’ve seen some hogs cast videos and possibly another... you’re everywhere!!!
What about it?
Hello Internet! 👋