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Correction at 4:08… Neil says “then we get twice 61″ instead of “about twice 61″. The actual result is 120, not 122 as labelled.
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Correction at 4:08… Neil says “then we get twice 61" instead of “about twice 61". The actual result is 120, not 122 as labelled.
I was expecting the architect's signature in any of these sequences when reaching some far terms. Mathematicians, please, keep the world strange.
I don't follow step 6 (where the primes get naked). If Hp appears in the sequence, then it shares a common factor with p. But it will share common factors with many other numbers, and typically some of them will be less than p.
505 (SOS) being the first disruption to the sequence is divine levels of spook.
I didn't need to click this video to know that it would be Neil Sloane showing us this bizarre and wonderful sequence
😏😴😴
At 8:10 he says that "from prime p on, all primes are missing". It's important to the argument that p is not in the sequence. But the visuals imply that p is the last prime in the sequence. Confused me for a while, because I thought p was in the sequence and I didn't think his argument made sense.
What is that AS1 book about?
Very entertaining and beautiful video.
What a beautiful sequence this is! 🌺
The proof that all numbers appear is really sneaky, indeed
Geazers? lol
Neil Sloane: "You can do it with your eyes closed"
CC bot: "Therefore every poem divides infinitely many terms"
20:17 – JAMES BISSONETTE!!!
History Matters AND Numberphile, the man has exquisite taste in Patreon subs.
202 = 2 x 101
101 = 1 x 101
505 = 5 x 101
and W(101)=215
Just matches up perfectly. It's great.
Huh?…
Neil really is my favorite guest on this channel. Just so many interesting insights and patterns to explore
The best part is Neil’s evil laugh after “Step five…yes…” 11:21
Neil's delight is infectious.
Hasn't he got a lovely soothing voice?
>simple proof
My head was immediately spinning 🙁
The geezers
If all prime's 'cause' geysers, can one not work back from geysers to find primes?
thank you for saying GUY- SIR not GEE SIR 🙂
Why is it called the Yellowstone permutation, and not, say, the Bluewater permutation?
"Geezer will appear in a different video…" LOL that was great.
I like that this man works inside a Whataburger bag.
Shouldn't it be enough proof for every number to appear in the sequence taking into account that if the series is infinite and no number is repeated, then every number should appear eventually?
Predictable in the way that the primes are predictable, not predictable. – geezer
Thank you for saying "gyzer", I always associate "geezer" to an old fellow.
हेलो भाई
Oh, sure, I could totally do this in my head with my eyes closed.
/s
No it's 1232
Man, watching videos with Neil in them is like listening to a math lesson narrated by Bob Ross. It's super interesting and I feel all warm and fuzzy just by listening to him <3
The wallpaper is driving me nuts.
3:35 That's what my college professor told me about the final exam.
What if we have different starting terms instead of 1,2,3
why is 15*q guaranteed to share a factor with the term before last? he says this at 6:20
A question about stage 3 of the proof: doesn't assuming p² appears in the sequence contradict the premise of this stage? Shouldn't we assume p² is missing from the sequence entirely?
Anything with primes has ths tension between predictable and unpredictable!
This is the craziest permutation of the integers I have seen – going to work through that proof on my own sheet of paper.
He's like a magician producing a rabbit, you don't know how they came up with the proof and he's justifiably smug about it.
6:20 I don't know why he said 15, but that's clearly wrong. You should take a factor of the second previous number.