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Re: Easily memorized primes

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  • marku606
    ... David stopped at sex and left us almost breathless. But he knows we can have more, much more, with a lot of air to spare. 9 * 10^201 + 1 is prime,
    Message 1 of 16 , Sep 2, 2009
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      --- In primenumbers@yahoogroups.com, "djbroadhurst" <d.broadhurst@...> wrote:
      >
      > --- In primenumbers@yahoogroups.com,
      > "Walter Nissen" <nissen@> wrote:
      >
      > > You may know a large prime, but can you say it?
      >
      > ..............."eleven sextillion
      > one hundred and eleven quintillion
      > one hundred and eleven quadrillion
      > one hundred and eleven trillion
      > one hundred and eleven billion
      > one hundred and eleven million
      > one hundred and eleven thousand
      > one hundred and eleven"
      >
      > can be said without inhaling
      >
      > David
      >

      David stopped at sex and left us almost breathless. But he knows we can have more, much more, with a lot of air to spare.

      9 * 10^201 + 1 is prime, otherwise known as the memorable

      Nine Sexsexagintillion and One.

      If anyone thinks this sounds like

      "Sex, sex again 'till yin and one"

      you're imagining things. Get back to work!


      Mark
    • djbroadhurst
      Suppose that we parse the string cab , in base p, as 12*p^2 + 10*p + 11. Then cab is a prime in the prime base p = 41, where it evaluates to the decimal
      Message 2 of 16 , Sep 3, 2009
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        Suppose that we parse the string "cab", in base p, as
        12*p^2 + 10*p + 11. Then "cab" is a prime in the prime
        base p = 41, where it evaluates to the decimal number 20593.

        Similarly, we may parse the incantation "abracadabra",
        in base p, as 10*p^10 + 11*p^9 + 27*p^8 + 10*p^7 + 12*p^6 + 10*p^5
        + 13*p^4 + 10*p^3 + 11*p^2 + 27*p + 10, which evaluates to the prime
        8510432846378191 in the prime base p = 31.

        The nonce-word "floccinaucinihilipilification" evaluates to the prime
        352402927208050896786973658273234894386040810340804173543364510421
        in the prime base 199. For the meaning, see
        http://www.worldwidewords.org/weirdwords/ww-flo2.htm

        Puzzle: Find the smallest prime base in which Aristophanes' dish
        http://tinyurl.com/6xkeen
        is prime, if we use O'Neill's tranliteration in line 1170 of
        http://tinyurl.com/nnaqlk

        David
      • Alan Eliasen
        ... Spoiler space follows. . .. . . . . . . . . . .. .. . . . . . . . . . . . . . . . . . . . . . Sum in base 41843 is
        Message 3 of 16 , Sep 3, 2009
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          On 09/03/2009 02:40 AM, djbroadhurst wrote:
          > Suppose that we parse the string "cab", in base p, as
          > 12*p^2 + 10*p + 11. Then "cab" is a prime in the prime
          > base p = 41, where it evaluates to the decimal number 20593.
          >
          > Similarly, we may parse the incantation "abracadabra",
          > in base p, as 10*p^10 + 11*p^9 + 27*p^8 + 10*p^7 + 12*p^6 + 10*p^5
          > + 13*p^4 + 10*p^3 + 11*p^2 + 27*p + 10, which evaluates to the prime
          > 8510432846378191 in the prime base p = 31.
          >
          > The nonce-word "floccinaucinihilipilification" evaluates to the prime
          > 352402927208050896786973658273234894386040810340804173543364510421
          > in the prime base 199. For the meaning, see
          > http://www.worldwidewords.org/weirdwords/ww-flo2.htm
          >
          > Puzzle: Find the smallest prime base in which Aristophanes' dish
          > http://tinyurl.com/6xkeen
          > is prime, if we use O'Neill's tranliteration in line 1170 of
          > http://tinyurl.com/nnaqlk

          Spoiler space follows.
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          Sum in base 41843 is
          9355934623362561735213219302693410823607868190849630269877\
          6553684917032146922567250080317347155330911049352272600264891303788077990113278\
          4853088920553317989172187911135472248955574815213603926445985233885389642117781\
          4381160736048159727697869729116763488380008580384563935286216104489332003841643\
          4760106323998198183345546437753307049885244185702893171182361757187414650365639\
          1793563743445464735466507739792305201194704747538514165228148227347542716827410\
          3317461237255320643879853668183786679561917227974652256331446555994563730135516\
          3026904731364993396280828241651057013994638897984779596310112725585193309862898\
          9978162623129572344332751322965737425155187359894442966740804307156470888035472\
          2453994844494330604029034206329792396426299163600028180427618021437461076507541\
          3062782241110381733982885164991797153719562713304314423


          --
          Alan Eliasen
          eliasen@...
          http://futureboy.us/
        • djbroadhurst
          ... gave a solution in agreement with [spoiler!] http://primes.utm.edu/curios/page.php?number_id=9432 More ambitiously, one might consider the 1185-letter word
          Message 4 of 16 , Sep 3, 2009
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            --- In primenumbers@yahoogroups.com, Alan Eliasen <eliasen@...>
            gave a solution in agreement with [spoiler!]
            http://primes.utm.edu/curios/page.php?number_id=9432

            More ambitiously, one might consider the 1185-letter word
            for the Tobacco Mosaic Virus, Dahlemense Strain, at
            http://www.fun-with-words.com/word_longest.html

            By my reckoning, this is probably prime in
            20 different prime bases less than 10^6.

            David
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