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A formula for the nth digit of πœ‹ and πœ‹^n

arxiv.org

1–10 of 143 posts

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#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...

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#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.

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#4
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...

Ο€fs: Never worry about data again! - https://github.com/philipl/pifs

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#5
post #4
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...

Ο€fs: Never worry about data again! - https://github.com/philipl/pifs

We just need a formula that finds a sequence of digits in pi instead of a single one.

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#6
post #5
post #4

Earlier quoted context omitted.

Ο€fs: Never worry about data again! - https://github.com/philipl/pifs

We just need a formula that finds a sequence of digits in pi instead of a single one.

Yes, we are too much focused on the reverse problem.

We know exactly how much time we need to compute the nth digit of pi. But how much time do we need to find a specific string of digits? Seems like a more interesting question.

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#7
post #4
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...

Ο€fs: Never worry about data again! - https://github.com/philipl/pifs

This is one of my favorite software projects of all time. I remember seeing this several years ago and it has driven my imagination crazy since then.

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#8
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...

Nothing will change there. There are already much more efficient methods of calculating Ο€. What this lets you do is jump straight to the nth digit without calculating all the ones before it.

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#9
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...

Why would it? Calculating the first few trillion digits may be (and probably is) a lot faster than doing a trillion calculations of individual digits, but even if it isn’t, people will simply raise the bar and compute even more digits.

> What will the super computers going to do in view of this discovery?

Whatever they do now. It’s not like this is what supercomputers are built for. Computations like these more are used to get confidence that the hardware works.

Re: A formula for the nth digit of πœ‹ and πœ‹^n

#10
post #4

Earlier quoted context omitted.

Ο€fs: Never worry about data again! - https://github.com/philipl/pifs

This is one of my favorite software projects of all time. I remember seeing this several years ago and it has driven my imagination crazy since then.

But why?
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