Loading ...
Sorry, an error occurred while loading the content.

Re: Easily memorized primes

Expand Messages
  • marku606
    ... For the latent numerologist in all of us, we have the ever appealing prime 7^(7*7) + 10^(10*10). And if we want to keep things as simple as 2-3 we have the
    Message 1 of 16 , Sep 1, 2009
    • 0 Attachment
      --- In primenumbers@yahoogroups.com, Nathan Russell <windrunner@...> wrote:
      >
      > This is more or less a "fun" thread. However, it can occasionally be
      > handy to give a concrete example of a large prime to friends, etc.
      > None of these are particularly large, but they are easier to memorize
      > (for whatever reason) than most primes in their size range.
      >


      For the latent numerologist in all of us, we have the ever appealing prime

      7^(7*7) + 10^(10*10).

      And if we want to keep things as simple as 2-3 we have the ever dazzling 2*3 = 6 primes:

      2^2^2 + 3^2^2
      2^2^2 + 3^2^3
      2^2^2 + 3^3^2
      2^2^2 + 3^3^3
      2^2^3 + 3^2^2
      2^3^2 + 3^2^2

      Mark
    • robert44444uk
      ... I think it is a bit sad that 11092001 is a prime. As a UK date it tells a story.
      Message 2 of 16 , Sep 1, 2009
      • 0 Attachment
        --- In primenumbers@yahoogroups.com, Nathan Russell <windrunner@...> wrote:
        >
        > This is more or less a "fun" thread. However, it can occasionally be
        > handy to give a concrete example of a large prime to friends, etc.
        > None of these are particularly large, but they are easier to memorize
        > (for whatever reason) than most primes in their size range.
        >
        > Here's a couple candidates:
        >
        > 8,675,309 (and 8,675,311 - twin primes)
        > 1,000,003
        > 10^700+7
        > 10^999+7
        > 4,001
        >
        > Nathan
        >

        I think it is a bit sad that 11092001 is a prime. As a UK date it tells a story.
      • djbroadhurst
        ... 20032003 is a composite number that is hard for me to forget: http://tech.groups.yahoo.com/group/primenumbers/message/11863 David
        Message 3 of 16 , Sep 2, 2009
        • 0 Attachment
          --- In primenumbers@yahoogroups.com,
          "robert44444uk" <robert_smith44@...> wrote:

          > I think it is a bit sad that 11092001 is a prime.
          > As a UK date it tells a story.

          20032003 is a composite number that is hard for me to forget:
          http://tech.groups.yahoo.com/group/primenumbers/message/11863

          David
        • Ali Adams
          911 :)   Ali Adams ________________________________ From: djbroadhurst To: primenumbers@yahoogroups.com Sent: Wednesday, September
          Message 4 of 16 , Sep 2, 2009
          • 0 Attachment
            911 :)
             
            Ali Adams




            ________________________________
            From: djbroadhurst <d.broadhurst@...>
            To: primenumbers@yahoogroups.com
            Sent: Wednesday, September 2, 2009 5:35:20 PM
            Subject: [PrimeNumbers] Re: Easily memorized primes

             
            --- In primenumbers@ yahoogroups. com,
            "robert44444uk" <robert_smith44@ ...> wrote:

            > I think it is a bit sad that 11092001 is a prime.
            > As a UK date it tells a story.

            20032003 is a composite number that is hard for me to forget:
            http://tech. groups.yahoo. com/group/ primenumbers/ message/11863

            David







            [Non-text portions of this message have been removed]
          • Walter Nissen
            Hi , all , There may be several different challenges here . ... This is more of an expression than a numeral . ... Yes , but it fails to comply with ISO 8601 ,
            Message 5 of 16 , Sep 2, 2009
            • 0 Attachment
              Hi , all ,

              There may be several different challenges here .

              > 10^700+7
              This is more of an expression than a numeral .

              > 11092001 is a prime. As a UK date it tells a story.
              Yes , but it fails to comply with ISO 8601 , and is hence
              obsolete and confusing , just as e-mail dates often are .

              I tend to think of this challenge :
              One may be called upon to name a large prime at a social
              gathering , prototypically a "cocktail party" .
              You may know a large prime , but can you say it ?
              A long string of digits can be hard to speak and even
              harder to understand , so there is a long-standing and
              useful protocol :
              911 can be spoken "nine hundred eleven"
              ( tho nine hundred onety-one would make more sense ) .
              When I write below "123" , I mean
              "one hundred twenty-three" .
              123123456456911 is prime and can be said :
              123 trillion 123 billion 456 million 456 thousand 911 .
              For the more adventurous :
              123123456456789789911 is prime and can be said :
              123 quintillion 123 quadrillion
              456 trillion 456 billion 789 million 789 thousand 911 .

              Cheers ,

              Walter
              http://upforthecount.com
            • djbroadhurst
              ... ............... eleven sextillion one hundred and eleven quintillion one hundred and eleven quadrillion one hundred and eleven trillion one hundred and
              Message 6 of 16 , Sep 2, 2009
              • 0 Attachment
                --- 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
              • Andrey Kulsha
                http://primes.utm.edu/curios/page.php?number_id=811 http://primes.utm.edu/curios/page.php?number_id=846 http://primes.utm.edu/curios/page.php?number_id=629 And
                Message 7 of 16 , Sep 2, 2009
                • 0 Attachment
                • 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 8 of 16 , Sep 2, 2009
                  • 0 Attachment
                    --- 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 9 of 16 , Sep 3, 2009
                    • 0 Attachment
                      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 10 of 16 , Sep 3, 2009
                      • 0 Attachment
                        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.
                        .
                        ..
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        ..















                        ..
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .
                        .

                        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 11 of 16 , Sep 3, 2009
                        • 0 Attachment
                          --- 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
                        Your message has been successfully submitted and would be delivered to recipients shortly.