Prime Pyramid (with 3Blue1Brown) - Numberphile

i came up to a problem with similar thing, start with sequence of 111, each next row is the previous sequence as binary number number XOR itself shifted 1 and 2 bits, so 111 XOR 1110 XOR 11100 so 2nd row is 10101, next is 1101011 and so on, find a way to count how many 1 bits are in the nth sequence, i know for n = 2%k the answe is 3, for n=2k it's equal to the answer for n/2, need a formula for the general case

Now if I say to some kid who watches numberphile,that Jennifer Lawrence was in a numberphile video, would they believe it😂?

Primeramid?

You broke my heart with the "Nah the pattern actually breaks" moment 🥲

it's funny that 2^n-1 broke early put still gives new prime numbers as 2^n+1 broke early and stays broken.

Between 1 and 100 the portion of prime numbers is 25% "but go out to any other part and there's many fewer". I wonder if that's a true statement? Can't we point to 100 number portions of the number line (not 1 to n but n to n+99 consecutive numbers) where we see almost the same percentage of primes? Obviously not 25% but 22%?

Does the tenth one add up to 33 though? If you count the fact that the number 10 has two digits, you're actually adding 8 instead of 4, making it 37, which is still prime. But there's probably another snag not much further along.

“B-list”‽ I’m sorry, did you just call legendary Tommyball player Tim Hein a “B-list” celebrity‽ The disrespect!

If 1 was a prime number, then the first prime actor would be Sylvester StallONE.

Part 3 is finally out! Thanks for listening to the like 5 people that were asking for it in this comment section lol :D

Guys the description changed from "STILL BEING EDITED" to "soon"

Is the third video ever coming? Have been checking back since this one first dropped

11 (prime)
12+1=13 (prime)
132+31=163 (prime, also wow it goes high)
143231 (cant prime-ify)
...

First Numberphile video I've seen where the title is a lie -_-

Third part where?

part 3 is just never occuring i guess?

Is part 3 still in the works?

I wonder if the numbers from this sequence satisfies Gilbreath's conjecture.

Grant's explanation is awesome, but Brady's analogies make it more accessible to everyone.

Actually, the case with 10, you can count all the number of Digits, (not Numbers), it will reach 37. I suppose it can continue

Is the reason it broke at 10 because 10 has two digits?
37 is a prime after all...

awesome collab

So does Grant work out?

Part 3 courtesy of valve software

Seventeen is my favorite number. Now I know why.

I noted that 31 is a mersenne prime

I wonder how the performance of this stacks up against the Sieve of Eratosthenes?

I am bored with all these math impostors. The real math is happening at the New Calculus channel

I love this channel, but it seems it’s long since run out of steam

I'd like to see a seemingly true conjecture that was thought to be true for a long time until someone came along and definitively proved it false. That would be something.

We knew it had to break. Just not when . . .

Grant called the mediant "not a wholly useless operation" which implies it is partially useless.

I check back every day for Part 3.

Its a special talent to make your thumbnails consistently look like something out of the 90s

I have found a perfect formula for finding

PRIME NUMBERS...

Hi I am Mayur Umesh Sutar

From Kolhapur(Pin code:-416012), Maharashtra, India
🇮🇳🇮🇳

his voice..................why he is not.......... our voice somehow

.
Everyone CHILL !
I'm here to prove that, much to my disappointment (believe me!...),
THIS IS ALL A COINCIDENCE !!!
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Not only is it a coincidence that all these row lengths shown in this video are primes,
and not only is 17 missing,
But there's also row lengths whose value is NOT EVEN PRIME AT ALL !!
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See the output of the program I wrote that constructed such a pyramid and then printed its respective rows' lengths for the first 18 rows:
2, 3, 5, 7, 11, 13, 19, 23, 29, *33*,
43, 47, 59, *65*, 73, 81, 97, 103
(I actually calculated up to 30 rows, but no point in showing that here now)
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As you can CLEARLY see, not only are there PLENTY primes missing,
but there's already 3 (THREE) NON-primes in that list.
There's even more afterwards.
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So, VERDICT :
It's all a coincidence!
Nice try, 3b1b, testing us like that! :D
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What is this, a crossover episode?

❤Great stuff as always!

This collab is legendary

NUMBERPHILE I LOVE YOU'RE VIDEOS 💗

Approximately half of the "Shop the Numberphile store" links bring up a 404 😕

What if you use a radix other than base ten.
May be base 14 or base 22?