A formula for the nth digit of 𝜋 and 𝜋^n

Post by leoff » Sun, Jan 15, 2023, 3:11 PM UTC

childintime wrote: post #16

Chatgpt, please write a function in python for the nth digit of pi. Sure, here is a function in Python that calculates the nth digit of Pi using the Chudnovsky algorithm: from decimal import * def nth_digit_of_pi(n): getcontext().prec = n + 1 C = 426880 * math.sqrt(10005) M = 1 L = 13591409 X = 1 K = 6 S = L for i in range(1, n): M = (K ** 3 - 16 * K) * M // i ** 3 L += 545140134 X *= -262537412640768000 S += Decimal…

Post by lifthrasiir » Sun, Jan 15, 2023, 3:22 PM UTC

_ache_ wrote: post #13

_ache_ wrote: post #3

Plouffe ... He used to teach in my university. He is a fantastic man. This is serious, he is crazy about numbers. He is one of the guy behind OEIS (oeis.org). That is not the first formula he found about pi and some of the previous one had been used to break world record about the number of known decimals.

Ok, so the method is real but will not be used to break the next world record. Chudnovsky algorithm is better at that task.

Post by 4gotunameagain » Sun, Jan 15, 2023, 3:28 PM UTC

manojlds wrote: post #24

leoff wrote: post #21

Earlier quoted context omitted.

since this is Python, `nth_digit_of_pi(-1)` should give us the last number of Pi.

But it's not a list

  Traceback (most recent call last):
    File "", line 1, in 
  AttributeError: 'manojlds' object has no attribute 'humour'. Did you mean: 'joke'?

Post by manojlds » Sun, Jan 15, 2023, 3:31 PM UTC

4gotunameagain wrote: post #25

manojlds wrote: post #24

Earlier quoted context omitted.

But it's not a list

Traceback (most recent call last): File " ", line 1, in AttributeError: 'manojlds' object has no attribute 'humour'. Did you mean: 'joke'?

Post by sterlind » Sun, Jan 15, 2023, 3:40 PM UTC

imglorp wrote: post #4

tucnak wrote: post #2

So does it mean that these pi-calculating competitions & record are now going to devolve to special olympiads in pointless storage capacity? What will the super computers going to do in view of this discovery? Fascinating times for humans as well as for the machines...

πfs: Never worry about data again! - https://github.com/philipl/pifs