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Thread: Digits of Pi

  1. #1 Digits of Pi 
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    I've discovered a neat result regarding the digits of pi. Take pi!, in the sense of the gamma function:

    pi! = 7.188 082 728 976 032 702 082 194 345 124 8.

    Notice that the sevent'h digit is seven and the 21'st digit gives 21 (7*3). To find out if there is further such occurences I would need an algoritm to compute pi's digits. Could someone please provide a link?

    Also:

    pi!! = 7 380.555 557 603 103 871 505 775 122 759 9

    and this has 5 in the 5'th place, 10 in the tenth position and 15 in the 15'th and it has 5 fives in the first 5 digits.

    pi!!! gives "overflow" on the calculator.

    pi^3 has a 6 in the 6'th digit.

    log (pi) has a 13 at position 13.

    ln (pi) has an 8 at position 8.

    10^pi has an 11 at position 11 and a 3 at position 3 left of the decimal point.

    sinh (10^pi) has a 7 at position 7.

    cosh (10^pi) has a 7 at position 7.

    cosh pi has a 5 at position 5.

    sinh (pi!) has a 20 at position 20.

    sinh pi has no digits matching in the first 32 digits.


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  3. #2  
    Brassica oleracea Strange's Avatar
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    Quote Originally Posted by talanum46 View Post
    To find out if there is further such occurences I would need an algoritm to compute pi's digits. Could someone please provide a link?
    https://en.wikipedia.org/wiki/Pi#Spigot_algorithms


    pi!!! gives "overflow" on the calculator.
    You would need to use an arbitrary precision calculator. There might be something here you could use: https://en.wikipedia.org/wiki/List_o...metic_software


    ei incumbit probatio qui dicit, non qui negat
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  4. #3  
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    Thank you Strange.
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  5. #4  
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    "https://en.wikipedia.org/wiki/Pi#Spigot_algorithms"

    That method gives the n'th hexadecimal digit of pi. I want the n'th decimal digit. I need to compute pi from the n'th digit onwards because the "Decimal" data type truncates after 14 digits.
    Last edited by talanum46; March 17th, 2020 at 10:46 AM.
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  6. #5  
    Genius Duck Moderator Dywyddyr's Avatar
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    Numerology?
    Moved to pseudo pending elucidation.
    "[Dywyddyr] makes a grumpy bastard like me seem like a happy go lucky scamp" - PhDemon
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  7. #6  
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    i heard Chuck Norris knows pi's final number, ask him.
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  8. #7  
    Brassica oleracea Strange's Avatar
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    Quote Originally Posted by curious mind View Post
    i heard Chuck Norris knows pi's final number, ask him.
    Chuck Norris gave Pi its final number.
    ei incumbit probatio qui dicit, non qui negat
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