• Carrick1973@lemmy.world
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    9 months ago

    There’s a 9 repeating 6 times in there which I’d think is a pretty rare occurrence in pi. I wonder what the longest occurrence of a repeating digit is.

    • ILikeBoobies@lemmy.ca
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      9 months ago

      Pi is infinite so every combination/string of numbers is in there, if we calculated enough you could find a billion 2s next to each other

      You can look through the first trillion here

      https://archive.org/details/pi_dec_1t

      Though it’s a bunch of downloading

      • Guest_User@lemmy.world
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        9 months ago

        Not necessarily. It could just become a series of 1’s repeating forever. Nothing would require it to contain all strings of numbers.

        • diverging@lemmy.ml
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          9 months ago

          It could just become a series of 1’s repeating forever

          If that happens in a number, then it is rational. Pi is not rational, so that will never happen in pi.

          • Jenztsch@feddit.de
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            9 months ago

            Take a look at 0.101001000100001… This number is also non-repeating, but obviously doesn’t contain all numbers with finite digits.

            The property you’re looking for is called to be a normal number. Pi is assumed to be one, but it hasn’t yet been proven.

            However, in a sense this is an unremarkable property as almost all real numbers are normal. :)

            • ILikeBoobies@lemmy.ca
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              9 months ago

              but obviously doesn’t contain all numbers with finite digits.

              I was just claiming possibility because we haven’t calculated the infinite string

          • Guest_User@lemmy.world
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            9 months ago

            At work at the moment so can’t go deep into it. But I think you misunderstand what non repeating numbers mean. Of course there are repeating numbers within pi which is fine, the issue would be if ALL the digits were to simply cycle over and repeat themselves. If however there are a few trillion digits then a series of 1’s and 0’s for ever, pi is still non repeating

            • ILikeBoobies@lemmy.ca
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              9 months ago

              Did you read what I responded to?

              It could just become a series of 1’s repeating forever.

              • Guest_User@lemmy.world
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                9 months ago

                I did read it, I also wrote it. Wasn’t trying to put you down or anything just sharing a bit of knowledge I found interesting. I know many people (my self included at one point) assumed pi would have to include everything when that just isn’t true. Apologies if I did a bad job explaining it though

                • ILikeBoobies@lemmy.ca
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                  9 months ago

                  I wasn’t clear then, it’s not that it has to

                  It’s that it can until calculated

      • Carrick1973@lemmy.world
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        9 months ago

        That’s fascinating. Obviously, there’s a series of repeating numbers in there, and one of the numbers would have a highest number of repeats… until further places of pi are determined and another number knocks it off… I assume there’s a repeating 1, or 2 that repeats 7 or 8 times,etc… at some point…

    • Aermis@lemmy.world
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      9 months ago

      On a long enough string I’m guessing… Infinite? Pi isn’t a pattern so does it follow the same “if monkeys hade an infinite amount of time to type at a typewriter they’d type Shakespeare”

      • Carrick1973@lemmy.world
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        9 months ago

        Well I thought that at first, but it has to be less than infinite since other numbers have to repeat in there as well with at least some occurrence so it’s infinite minus something, but since pi goes on infinitely, it’s obviously some high number…