You've linked the GeoGebra file, but you really should also provide a link to the Python code. I would really like to play around with that version.

Why didn't Hercules chop the body off? That doesn't grow back.

Math. A complicated way of making EVEN the Legend of Heracles boring AF.

I love this

Ght

yay!

I'm surprised this doesn't attract more attention, if only because it would imply there are trajectories that can flawlessly avoid primes without being a trivial sequence of multiples. If there are numbers that trend to infinity, then the patterns they follow would be another insight into the patterns that primes follow

this feels very similar to the 2n+1/Collatz conjecture

❤❤❤❤

Infinitesimals might be useful, but infinitesimals are NOT the opposite of infinity. There is nothing larger than infinity. There is nothing smaller than zero. Zero is the opposite of infinity, if that could be defined at all.

Given that the divisors are paired up and the number itself isn't included, why is 1 always included as a divisor? If it were ignored, the whole theory would change.

some of these numberphile videos genuinely shock me to my core well done

If those truely are counterexamples, so computing power ever will help us recognize them as such, since the sequence would go on foreever. We would have to recognize patterns in the sequence, that let us prove that the sequence has to go on forever.

kon kon shorts dekhe aaya😂😂😂

Can you run 318, 273 and 747 for me if bored please!

This problem has more structure than it needs

But how?

I like to imagine that 276 goes all the way up straight to the first and only odd perfect number, and that number also happens to be the first number to start a loop that disproves the collatz conjecture.

Hi

138: is that the Bitcoin price chart?

its not just 276, its all the numbers that are in that graph that are still unknown!

Maybe it is hidden a secret to reveal something great about prime numbers

Why

30030 is fun

Is there any money it to solve one of these?

Back to your true numberphile roots! Integers are cool!

His mistress has 296

"So WHO is it with this 296 heart, hmm??"

C is even better than Python.

Wouldent it be 49 steps at 18:56?

Aesa kese ho sakta Hai like comments itne zaida aur views sirf 301 why UKposts

276 is my stock.

138 should be called a "Cryptocurrency Number" due to its striking resemblence to a BTC/USD graph.

How remarkble would it be if 276 eventually lands on an odd perfect number?

log base 10... it's how many digits that number has...it's so simple

The importance of attacking is to get a card every turn. Card sets cause huge shifts as the game progresses.

The next number could be prime! Straight down to 1.

number 138 gives us the prototypical meme coin chart.

How much coffee was this man on

This feels like just the collatz conjecture with extra steps! :D

Interesting that three of those five unsolved numbers are multiples of 138. (2, 4, and 7?). Is that a recurring thing with the mystery numbers over 1000?

I first learned about amicable numbers from Martin Gardner's Scientific American article. It is reprinted in his book, "Mathematical Magic Show," in the chapter entitled, "Perfect, Amicable, Sociable." That chapter does not contain the term "aspiring"; this omission may partially explain why so many people (including myself) know the terms "amicable" and "sociable" but not "aspiring."

Camera work was all over the place towards the end of the video

I spent a few years factoring aliquot sequences with my computer in its spare time. It can be a lot of fun to see the sequences progress and learn the math of the ups and downs as well as the factoring algorithms and tools.

6300 + 168 is divisible by seven … no trick required for that one

420 + 14 is divisible by seven…. no trick required for that one

So what is -0! ?

10:40 Sutac silelf.

Does that mean if the aliquot sequence of 276 is a counter-example, there are infinitely many counterexamples, as the infinitely many terms in the aliquot sequence of 276 would also be a counter-example?

I conjecture that these will only run on finitely. You will find longer runs and extraordinarily longer runs, but not one that runs one infinitely with also the characteristic of unpredictable peaks and trends. Therefore, this function will never prove to be a stochastic generator. Therefore, this function is by niche studies excluded from the hyporthetical headers and libraries (ANSI-C, of course,) of seudo-scientific-deity "Roko's Basilisk".