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Math Whiz Breaks Calculation Record

keyshawn632 writes "The Associated Press reports that Gert Mittring, 38, needed only 11.8 seconds to calculate the 13th root of a 100-digit number in his head at a math museum in Giessen, a small town, located in western Germany. It's worth noting though that his feat will not be recognized by The Guinness Book Of World Records because of the difficulty of standardizing such mathematical challenges."

81 of 391 comments (clear)

  1. What? by HardJeans · · Score: 5, Insightful

    I can't even read 100 digits in 30 seconds.

    --
    "I'm not talking to myself, I'm just the only one who's listening." - Jimmies Chicken Shack
    1. Re:What? by ricotest · · Score: 4, Interesting

      The dude can memorize a 22 digit number in four seconds (according to the article) so I'm sure he can take a similar time to juggle the numbers around in his head. Perhaps his mental algorithm focuses on certain numbers at a time so that he can handle it.

    2. Re:What? by jsprat · · Score: 3, Informative

      Here is a list of two other records he holds. It hasn't been updated for the one mentioned in the myway article.

      Notice it took him 44.7 seconds to calculate the square root of a six digit number, but only 11.8 seconds to calculate the 13th root of a 100 digit number!!!!

      He also calculated the 23rd root of a 200 digit number in 40.83 seconds.

    3. Re:What? by hackstraw · · Score: 4, Funny

      Let me try some rough math with the help of a calculator.

      To memorize 22 digits, this guy takes ~4 seconds. So for 100 digits that would take about 18 seconds.

      Now I forgot, he did what in 11.8 seconds

    4. Re:What? by iamhassi · · Score: 2, Funny

      remind me to not let him see my credit card...

      --
      my karma will be here long after I'm gone
    5. Re:What? by the+angry+liberal · · Score: 3, Funny

      Dude, chicks are so turned off by guys who will be able to remember phone numbers like that.

      Having such a memory leads to other problems:

      a) She will expect you to remember her birthday/holidays

      b) She will know you will remember all the dumb things she said the last time you got in a fight

      c) She will know you are smart enough to balance the checkbook (less money for her!)

      My advice: Play dumb. It turns them on for some reason.

    6. Re:What? by henrygb · · Score: 2, Interesting
      The square root involves the first five places after the decimal point of an irrational number, while the thirteenth root results in an integer - this allows some tricks.

      Show me any 13th power of an integer and I can immediately tell you the final digit of the root. Similarly with 5th powers and 9th powers. But square roots of non squares don't give so many tricks.

    7. Re:What? by op00to · · Score: 2, Interesting

      Why don't people teach this in schools? Obviously this kind of stuff is pretty tricky, but there must be other interesting little tricks and relationships that when taught correctly, could have interested a whole lot more kids in math. Where'd you learn this?

    8. Re:What? by RichardX · · Score: 2, Insightful

      Look up trachtenberg speed math - it's a system of (cheats/optimizations) depending on your point of view, for doing mental math.. either way it lets you get a correct answer very quickly, so it's useful.

      --
      Curiosity was framed. Ignorance killed the cat.
    9. Re:What? by RichardX · · Score: 3, Informative

      I just found a good little example of some of the concepts in the trachtenberg system here

      --
      Curiosity was framed. Ignorance killed the cat.
    10. Re:What? by Com2Kid · · Score: 2, Interesting
      • oh wait, it's not designed at all. it's pretty much all crap. and intelligent design. even in private schools and grad schools, no one ever is taught to really think for themselves as a part of the curriculum.


      You know I used to half way believe this, until I got some friends who came over from the Asian schooling system.

      Americans are INCREDIBLE at taking story problems and real life scenarios and doing mathematical modeling on them.

      Heck just yesterday I saw a Seasame Street game that was basically an introduction to Venn diagrams! That is at the pre-school level, once you actually get into the schooling system, well, here are just a FEW of the things American school children know about that seem common place to us, but are complete mysteries to others!

      • The planets, names, sizes, that they even EXIST.
      • Atoms, molecules, etc.
      • Anything dealing with biology.


      (Please note, this list may not be applicable in the southern states.)

      The American Educational System needs an overhaul, for sure, our basic mathematical and linguistic education bites, but when it comes to finding creative, or just worldly, solutions to problems, well, we at least have that covered fairly well.
  2. I can do better by Attar81 · · Score: 3, Funny

    I can say all fifty states in a quarter of a second!

    1. Re:I can do better by NanoGator · · Score: 4, Funny

      "Name a state. Within a second, I'll tell you the capital of it."

      "Wisconsin"

      "W."

      --
      "Derp de derp."
  3. That's nothing by bmzf · · Score: 3, Funny

    I can do that with my eyes closed. It'll just take me a bit longer.

  4. Re:Hrmm by Travy.b · · Score: 2, Insightful

    11 odd seconds aint a great deal of time mate ;)

  5. 13 is an unlucky number!!!!! by Anonymous Coward · · Score: 2, Funny

    Now what if a black cat crossed his path!!!!! He would then like factor the matrix code and the world would hang in an infinite loop from the resulting glitch!!!!!111

    OMG OMG OMG

  6. That's easy. by rackhamh · · Score: 5, Funny

    Just memorize the 13th root of every 100-digit number in existence. Sheesh.

    1. Re:That's easy. by wildsurf · · Score: 5, Informative

      Just memorize the 13th root of every 100-digit number in existence. Sheesh.

      Let's just think about this for a minute.

      100-digit numbers will fall between 10^99 and 10^100. Thirteenth-roots of such numbers will lie between 10^(99 / 13) and 10^(100 / 13), or in the range [41246264 .. 49238826]. That's about 8 million possibilities, and the distribution is far from linear.

      But it's linear enough that the first nine digits of the 100-digit number yield a unique possibility for a root. And the last digit of the root will be the same as the last digit of the 100-digit number, because (N mod 10) always equals (N^13 mod 10). So the problem can be tackled from both ends, with the middle digits of the root being the hardest.

      Of course, if the audience members are clued in, they can still beat the mental calculator hands down. Type the first nine digits, take the thirteenth root, and start reading off the digits; round up slightly to make the eighth significant digit match the final digit of the 100-digit number. Done.

      A college professor of mine taught us how to square 3-digit numbers in our head in seconds using tricks like this; he was able to multiply arbitrary 5-digit numbers in his head, and often performed this onstage. And for the curious, yes, I do actually have a life outside slashdot. :-)

      --
      Weeks of coding saves hours of planning.
    2. Re:That's easy. by Anonymous Coward · · Score: 3, Informative

      if you're going to mention Professor Benjamin you mind as well use his name :)

    3. Re:That's easy. by wildsurf · · Score: 2, Informative

      if you're going to mention Professor Benjamin you mind as well use his name :)

      You beat me to it. (Retroactively.) Sorry Art. :-)

      P.S. Try solving one of these in eleven seconds. :-)

      --
      Weeks of coding saves hours of planning.
    4. Re:That's easy. by Rufus88 · · Score: 2, Interesting

      because (N mod 10) always equals (N^13 mod 10)

      I know I'm going to kick myself for asking this, but why is this necessarily true?

    5. Re:That's easy. by stoborrobots · · Score: 4, Informative

      it isn't always - it's only true for numbers which are not even and not multiples of 5...

      As for why it's true otherwise, it's because of Fermat's Little Theorem and Euler's Totient Function...

      Specifically, since the Totient of 10 is 4, any number which is coprime to 10 (i.e. not even and not a multiple of 5) when raised to a power of 4, yields a 1 in the units place, (i.e. N^4 = 1 mod 10 if gcd(N,10) = 1).

      Since if a number is coprime to 10, then all its powers are coprime to 10, N^12 = (N^3)^4 also has a 1 in its units place.

      Now N^13 = N*(N^12) will always have the same last digit as N, if N is coprime to 10.

    6. Re:That's easy. by kylemonger · · Score: 4, Informative

      (n mod 10) = (n^k mod 10) iff (k mod 4) = 1. (n > 0, k > 0)

      Since we use base 10 arithmetic (n mod 10) means we just look at the last digit. Digits repeat every fourth iteration when computing the powers of a natural number.

      Numbers ending with:
      1 -> 1,1,1,1,1,1,1,1,1,...
      2 -> 2,4,8,6,2,4,8,6,2,...
      3 -> 3,9,7,1,3,9,7,1,3,...
      5 -> 5,5,5,5,5,5,5,5,5,...

      You can see the period 4 cycles for 4, 6, 7, 8, and 9 as well. Since the digits repeat, the value of (n^k mod 10) must also repeat as k increases.

  7. Family guy by comwiz56 · · Score: 4, Funny

    Obligitory Family Guy quote:

    Lois: Peter, why would they make you presidesnt?
    Peter: Maybe it's because I can recite all 50 states in a quarter of a second - RARF!
    Lois: Peter, that was just a loud yelping noise

  8. Sources report... by Anonymous Coward · · Score: 5, Funny

    ...Mittring will now go for the record of longest lifespan without losing one's virginity.

    1. Re:Sources report... by mollymoo · · Score: 2, Funny
      Mittring will now go for the record of longest lifespan without losing one's virginity.

      RTFA

      It says he's already got the 13th root, that's 12 more than required!

      --
      Chernobyl 'not a wildlife haven' - BBC News
  9. Re:I can (seriously) do 43rd root of 100 digit num by Anonymous Coward · · Score: 2, Informative

    no no no, it's because it's http://apnews.myway.com//article/20041124/D86IDI10 0.html Gert Mittring, 38. That is why it is a record ;)

  10. And the answer is: by fred911 · · Score: 2

    Five. Everyone knows that!

    --
    09 F9 11 02 9D 74 E3 5B - D8 41 56 C5 63 56 88 C0 45 5F E1 04 22 CA 29 C4 93 3F 95 05 2B 79 2A B2
    1. Re:And the answer is: by goon+america · · Score: 4, Funny

      you misspelled "forty-two".

  11. 38, ohhh by photon_chac · · Score: 2, Interesting

    According to Neumann's thoery, a math guy reaches his peak at about 26, could this _Gert Mittring_ be a bit more 'number-crunching' at that age?

    --
    KOS-MOS
  12. 11.8 Seconds by dupper · · Score: 2, Funny

    Definitely 11.8 seconds.

  13. Ironic...I'm currently listening to... by taradfong · · Score: 4, Funny

    Just as I read this article, what would start playing in my playlist but Mr. Roboto. I wonder if he has parts made in Japan?

    --
    Does it hurt to hear them lying? Was this the only world you had?
  14. I think I saw that guy... by NotQuiteReal · · Score: 2, Funny

    ... lurking near the ATM, looking over my shoulder, memorizing my PIN.

    --
    This issue is a bit more complicated than you think.
  15. Re:I can (seriously) do 43rd root of 100 digit num by imsabbel · · Score: 2, Funny

    You know what. Back, in my jedi-training, i was SOOOO strong in the force i could let the sun shine out of my ass!
    Dont believe me?
    I dont believe you either.
    So stop bullshitting.

    --
    HI O WISE PRINCE. WHT TOOK U SO DAM LONG?
  16. Devi: another brilliant mathematical mind by GreenPenInc · · Score: 5, Interesting
    When I was a kid, my dad lent me a book of Shakuntala Devi's book, "Figuring". She was famous some years ago (in the 50s, I believe) for her own computational ability, multiplying two 13-digit numbers in her head in 28 seconds.

    The book itself was an interesting read, and at the time I just ate it up. It has a lot of tricks regarding number theory, mathematical riddles, calendar tricks, and calculation of pi, for example. It teaches how to figure the day of the week for any Gregorian date of any time in a few seconds, a trick which I still remember and use today!

    As for the Pi, it contained a few poems and sayings whose letter counts signified the individual digits. I started trying to memorize pi, with my sights set firmly on the world record (as I am not without my own mathematical and mnemonic prowess). However, around grade 9, I decided to abandon my quest in order to get a life. I had memorized 1350 digits at that point.

    One such quote held little significance for me at the time, but has since become hilarious. "How I want a drink, alcoholic of course, after the heavy chapters involving quantum mechanics!" Needless to say, my quantum prof found it quite funny. :)

    1. Re:Devi: another brilliant mathematical mind by Skeezix · · Score: 2, Interesting
      I'm not sure which method you use, but I included one method in an article I wrote on memory improvement which some slashdot readers might find interesting.

      With some practice, you really can get to the point where you can calculate days of the week for any date in just a few seconds. People don't realize it's not all that difficult so it's a nice parlor trick.

      Also included in that article are methods for remembering long-digit numbers, the order of a deck of cards, etc.

  17. Re:And still has 0.00005% of getting laid by xeyr · · Score: 2, Funny

    As opposed to your average sleek, athletic slashdotter who is a regular sex machine.

  18. My Turn by Stupidhead · · Score: 2, Funny

    1 One Thousand
    2 One Thousand
    3 One Thousand
    4 One Thousand
    5 One Thousand
    6 One Thousand
    7 One Thousand
    8 One Thousand
    9 One Thousand
    10 One Thousand
    11 One Thousand
    12 One Thousand
    FVCK!#$

    --
    Contributing to "Judgement Day" one line of
  19. Re:And still has 0.00005% of getting laid by fireman+sam · · Score: 4, Funny

    I think a better joke would be.

    And that would be the only rooting this guy will ever do in his life

    --
    it is only after a long journey that you know the strength of the horse.
  20. The first mentat? by Rai · · Score: 4, Funny

    Get this guy some sappho juice.

  21. I so call bullshit by tomstdenis · · Score: 5, Interesting

    Unless there is some really trivial algorithm for finding 13th roots I totally call bullshit. If it takes him four seconds to memorize a 22 digit number how can he manipulate and find a 13th root for a 100 digit number in just over twice that amount of time?

    There has to be a trick to it aside from "thinking really fast"

    Tom

    --
    Someday, I'll have a real sig.
    1. Re:I so call bullshit by kfg · · Score: 5, Insightful

      There has to be a trick to it aside from "thinking really fast"

      Well of course, there is. Probably two or three tricks combined. . .plus thinking really fast, as well as having a good memory for numbers.

      Walking a tightrope is more than just having "good balance," and it's really just a trick, and not necessarily a very useful one, but. . .

      It is still pretty impressive and you can't do it.

      KFG

  22. ahh by nomadic · · Score: 5, Funny

    It's worth noting though that his feat will not be recognized by The Guinness Book Of World Records because of the difficulty of standardizing such mathematical challenges.

    That's the problem when dealing with a highly subjective field like mathematics.

  23. Re:Although by BladeMelbourne · · Score: 2, Funny

    I know that one!

    1 + 1 = 10

  24. What he will be doing next week... by jmcmunn · · Score: 4, Insightful


    Probably breaking codes for some government or another. Someone with talent with numbers and such will catch the eye of someone out there. Could it be that this was just to show off his talent as a sort of "job interview"? Probably not, but I expect he will get some calls about it anyway.

  25. The future is here by forgetmenot · · Score: 3, Interesting

    When I hear about people like this I can't help but think of "Dune" and it's Mentats.

    I would like to know how much of this ability is genetically determined and how much is due to training and from what age did his "gifts" become apparent.

    Either he needs to be stuck into some kinda breeding program (perhaps solving his virginity problem *hyuk hyuk*) or his training regimen needs to be studied and duplicated en masse. Imagine an advanced state-of-the-art military computer system that runs on 3-square meals a day and isn't susceptible to EMP bursts.

  26. Re:This is very nearly as important by CrankyFool · · Score: 3, Funny

    Unfortunately, he _still_ can't pound a 6" spike into a 2x4 with his penis. And everyone knows, a girl's got to have her standards.

  27. Gert disqualified and sued! by G4from128k · · Score: 4, Funny

    Gert Mittring was disqualified when judges noted a small sticker on his chest in a post-event checkup. It was discovered that he had Intel Inside.

    The news set off a legal feeding frenzy. SCO sued Mr. Mittring for using the company's super secret 13th root finder source code. Microsoft then added to the man's woes by suing for patent infringement over Microsoft's patents on 100 digit numbers. RIAA then sued him for including "8675309" in the answer -- obviously a stolen clip from "Jenny" by Tommy Tutone.

    --
    Two wrongs don't make a right, but three lefts do.
  28. I know you were joking, but... by Quattro+Vezina · · Score: 2, Insightful

    The number of elementary particles in the universe is estimated to be around an 80-digit number. It would be impossible to even write every 100-digit number in existance--you'd run out of matter in the universe first. Even if that were possible, just imagine the time it would take to even look at each one...

    It's really interesting to think of all the hard limits in the universe caused by things like this.

    --
    I support the Center for Consumer Freedom
  29. Photo of Gert Mittring here by Magickcat · · Score: 3, Informative

    A photo of Gert Mittring can be found here.

    Please note his rather tasteful attire.

    The page also has information on the actual rules on calculating the 13th root of a 100 digit number.

    --

    Si tacuisses philosophus mansisses. If you had kept quiet, you would have remained a philosopher.

  30. Re:Bounds by Atealtha · · Score: 2, Informative

    maybe he just memorized 13th root of all 3 digit numbers? The range is now 899, sort of.

    Someone already mentioned his memorization skills. I think this was the trick. Someone memorized tons and tons of digits of pi. So when someone starts reading a random section of digits he can recite the next hundred or so. Doesn't mean he calculates pi every time.

  31. 11.8 seconds? by bzBetty · · Score: 2, Funny

    pppfffft, my 286 can do it faster...

  32. Increasing math ability by _Hellfire_ · · Score: 2, Interesting

    This guy appears to have "superhuman" math ability, and I would imagine that it's just the way this guy's brain is wired that allows him to do that.

    I always wonder if there is a condition that works in the opposite way, a bit like dyslexia for reading/writing for maths, a sort of "mathlexia" if you will. Just as dyslexia doesn't mean you're stupid, it's just that your particular model of brain doesn't comprehend words straight away, a person with "mathlexia" can't add up 137 and 48 in their head to save their life, let alone do anything complicated like division or factorisation.

    If there is such a thing as mathlexia, I'd say I've definately got it. The funny thing is, I love computers, I love programming (in C among other languages, though a mastering of assembly has persistently eluded my efforts), and I can understand even engineering diagrams and other geeky stuff. I kicked ass in English Literature at high school (even though I didn't particularly enjoy it and it's not where my passions lie); but I cannot do maths in my head if my life depended on it. Even with a calculator I get lost in the process of doing a complicated sum, but I would say I'm at least a half decent programmer. It's not that I have a problem with a logical process, it's the math part that throws me.

    Is it just the way my brain is wired? Is there a big secret no-one's telling me that will make this all easy? Am I destined for a life of going "uh huh? righto..." when someone explains a (pure) math concept to me? Or is there some hope for a math dummy like me?

    If anyone knows the answer(s) to any of this I would be eternally thankful.

    --
    "And then I visited Wikipedia ...and the next 8 hours are a blur..."
  33. To put it into perspective by Highpriest · · Score: 2, Informative

    This is a 100 digit number: 19283740592837485932081293847560293618273458192031 17346932745397452409864082460814617651293753975329 Now. Get the 13th root of it..... In 11 seconds...

  34. Re:"memorizing 22 random digits in just four secon by Class+Act+Dynamo · · Score: 2, Interesting

    Well, since there are only ten digits, I think ordering would have to be relavant. Otherwise, he could just count how many occurences of each digit there are, which would certainly not be quite as impressive.

    --
    My other computer is a Jacquard loom.
  35. High pi by dexter+riley · · Score: 5, Funny

    I read somewhere that you only need about 50 digits of pi to describe a circle the size of the observable universe to within the diameter of a proton, let alone a chocolate donut.

    This isn't to say that 1350 digits wouldn't be useful! If you ever wake up in an alternate universe (you were warned about operating quantum machinery while drunk!) just look up pi in a math book. The degree of trouble you're in could correlate to the digit at which your memorized value, and the local value of pi, diverge.

    If pi only diverges after 1000 or more digits, you're probably alright, except for having to re-memorize pi.
    If pi diverges after 100 digits, there may be some minor historical divergences, like, say, President Nixon being impeached, or Bush winning a second term. The mind boggles!
    If pi diverges after 30 or 40 digits, look out the window. Do dinosaurs roam the earth? Since you're surrounded by ruthless, math-book-publishing carnivores, consider donating yourself to the primate house of the zoo.
    If local pi begins with a number other than 3, you should start to get worried, or maybe implode.

    1. Re:High pi by Nyh · · Score: 5, Interesting

      I read somewhere that you only need about 50 digits of pi to describe a circle the size of the observable universe to within the diameter of a proton, let alone a chocolate donut.

      Well, let us see:
      radius universe: about 15e9 lightyears
      radius proton: 1.2e-15 m

      circle with the size of the universe divided by diameter proton:
      2*pi*15e9*365*24*3600*300000000/(2*1.2e-1 5)=3.7e41 .
      So 42 digits of pi will do.

      42? Where did I see this number before?

      Nyh

  36. Oh come on now. by laughingcoyote · · Score: 4, Funny

    I can do the 23rd root of a 163 digit number in 5.8 seconds, and I wasn't even trying. I've climbed Mt. Everest in an hour and a half. I can rewrite the Linux kernel in under an hour. I can count up to ten thousand coins in no more than a minute.

    And yet, curiously, it takes me almost...-checks watch- five minutes to make a stupid, useless post on /. Strange eh?

    --
    To fight the war on terror, stop being afraid.
  37. If I recall... by gravteck · · Score: 4, Interesting

    I don't remember if this was the same guy I saw on TV. But the guy I saw was performing large multiplications and finding large roots in front of an elementary school class. They later showed doctors or scientists doing brain imaging on him while he solved math problems. What they found was that he was using parts of his brain that most people utilize during visualization (not sure how they were able to separate it from him actually seeing something). He said he visualizes the number in his head and then he can perform various manipulations on them and he can "see" the math work itself out. Obviously some is probably genetic, but he also commented on practicing his methods for 5-7 years. He also appears to not be the only root master.

  38. To how many significant figures? by jwise · · Score: 5, Interesting

    And how much about the problem did he know in advance? Did he know it would be a 13th root of a 100-digit number? Did he know that the number would be a perfect 13th power of an integer? I find it impossible to believe he calculated a 13th root of a 100-digit number in 11.8 seconds without knowing any of these things. Knowing all of them makes the problem a lot easier.

    The 13th root of a 100-digit number will always have 7 digits. If you memorize the first few digits of the 13th powers of numbers between 49 and 58 and you are given a 100-digit number, then you immediately know the first 2 digits of the 13th root. Memorize the initial digits of 13th power of numbers between 491 and 588 and you immediately know the first 3 digits. By memorizing the terminal digits of 13th powers of numbers less than 100, you could similarly immediately get the last 3 digits. That leaves 1 digit to compute, which is a slightly less impressive-sounding feat for 11.8 seconds. It's not a trivial calculation, though, and not at all shabby for 11.8 seconds.

    Jonathan

  39. silly question begging to be asked by calculadoru · · Score: 2, Funny

    at a math museum in Giessen

    a math museum ??? can someone explain what a math museum contains? surely not the pickled brain of Leibnitz next to Pascal's toothbrush?

    --
    The power of accurate observation is commonly called cynicism by those who have not got it. -- G.B. Shaw
  40. Simpler than that by Clueless+Moron · · Score: 5, Informative
    The root is not allowed to end in a zero, because that would have the result end in thirteen zeroes which makes it, um, so much simpler I guess.

    That leaves you with a mere... 7,193,306 possible roots to memorize.

    I don't know how they do it, but I am familiar with modulo-10 math "tricks". For example, did you know that if you add up the individial digits in any number and the result is divisible by 3, then the original number is divisible by 3? For example "621". 6+2+1=9, and so 621 is divisible by 3 (Try it: 621/3=207).

    13th root has similar magic: the 13th root of any number will have the same last digit as the number you are trying to take the root of. For example, the 13th root of 2235879388560037062539773567 is 127. Notice that they both end in 7. An integer and its 13th power always ends in the same digit. Try it.

    The point is, that little trick itself reduces the problem space by a factor of 10 right there. So I'm assuming they've studied and learned further tricks like these. Ask them for the 11th root of the same number and they'll probably come up completely blank.

  41. Rapid math tips and tricks by Edward Julius by Spoing · · Score: 2, Informative
    This is an amazing book. It will make you a math wiz even if you are an ace or suck at math. Just put in the time. It will even give you some appreciation for how numbers 'feel'.

    Cheap new. Even cheaper used (check Amazon).

    The book is thin and has a white cover with blue and red lettering.

    --
    A firewall can not protect you from yourself. Turn off what you do not need. Do not use the firewall to do your work.
  42. method to calculate the day of the week! by GreenPenInc · · Score: 5, Funny
    Absolutely. :) Let's see if I can type this by the end of the lecture!

    First, figure out the "year number". This part -- and the month number -- take some practice. Here's the first few to get you started:
    1900 - 0
    1904 - 5
    1908 - 3
    1912 - 1
    1916 - 6
    1920 - 4
    1924 - 2
    1928 - 0
    And it repeats thusly. Note that the "year number" starts at 0 for the beginning of the century, and is decreased by two (modulo seven) every leap year.

    In case you're interested in the other 75% of the time, simply add one to the year number for every year you add. Thus, 1901 becomes 1, 1902 becomes 2, etc.

    The "month" number requires memorization of another table, which cannot be recalculated as quickly as the year number:
    Jan - 0
    Feb - 3
    Mar - 3
    Apr - 6
    May - 1
    Jun - 4
    Jul - 6
    Aug - 2
    Sep - 5
    Oct - 0
    Nov - 3
    Dec - 5
    Add the month number to the year number. If your year is a leap year and your month is January or February, subtract 1.

    Next, add the day number. The day number is the day. :P

    Now, add or subtract sevens as necessary until you end up with a number between 0 and 6:
    0 - Sunday
    1 - Monday
    2 - Tuesday
    3 - Wednesday
    4 - Thursday
    5 - Friday
    6 - Saturday
    The result will be the day of the week.

    If your desired date does not begin with a "19", you have to add a century number as well. I believe 2000 is a leap year, since every 100 years is not but every 400 years is. Thus, the century number of 2000 is 6 (or, equivalently, -1). 1800 is 5, 1700 is 3, etc. (I am not certain of these.)

    As an example, today's year number is 5, the month number is 3, and the day number is 24. After compensating for the century by subtracting 1, we obtain 31. This reduces to 3 (by subtracting 28), which corresponds to Wednesday. Since it is Wednesday, and since I am in a large empty room, I further deduce that the lecture has ended.

    1. Re:method to calculate the day of the week! by Zach+Garner · · Score: 5, Funny

      You know, that reminds me of the time I caught the ferry over to Shelbyville. I needed a new heel for my shoe, so, I decided to go to Morganville, which is what they called Shelbyville in those days. So I tied an onion to my belt, which was the style at the time. Now, to take the ferry cost a nickel, and in those days, nickels had pictures of bumblebees on 'em. "Give me five bees for a quarter", you'd say.

      Now where were we? Oh yeah - the important thing was I had an onion on my belt, which was the style at the time. They didn't have white onions because of the war. The only thing you could get was those big yellow ones...

  43. Re:I can (seriously) do 43rd root of 100 digit num by Smurf · · Score: 5, Informative
    I practiced and could calculate 43rd root of a 100 digit number 1 to 3 seconds.

    Well, I guess that's not so outrageous depending on the precision you need. All the 43rd roots of 100 digit numbers are greater than 200 and less than 212, so if you only need integer precision you only have 13 choices. And memorizing 12 thresholds is not that hard.
  44. This is not as difficult as it sounds. by e_lehman · · Score: 5, Informative

    The 13th root of a 100-digit number is an 8-digit number. Here's how YOU can find TWO of those 8 digits in an instant.

    1. The leading digit is ALWAYS 4.

    2. The last digit of the 13-th root of N is always the same as the last digit of N.

    (The first fact follows because Floor[N[(10^100 - 1)^(1/13)]] = 49238826 and Floor[N[(10^99 - 1)^(1/13)]] = 41246263. The second holds because N^13 is congruent to N modulo 10.)

    With minimal practice, you can get the second-highest digit from the magnitude. Beyond that I can only speculate what he's doing. But by taking an alternating sum of the digits, you get its value mod 11, which gives you the value of the root mod 11, which buys you another digit. Now you're halfway there...

    1. Re:This is not as difficult as it sounds. by godblessthenet · · Score: 5, Funny

      Of course, to be fair, it should be noted that the above poster is a postdoc lecturer at MIT who is teaching Mathematics for Computer Science this semester and wrote the course notes, including a substantial portion involving number theory.

      Oh God, now that I think about it . . . you're putting this on the final, aren't you? NOoOOOooOooOoOOoO!!!!!

  45. Some of the methods used by pvg · · Score: 5, Informative

    Are described here. Rest of the site is also informative and insane.

    http://racine13eme.site.voila.fr/100digang.htm

    -pvg

  46. Uh oh by dexter+riley · · Score: 4, Funny

    Does anyone have a math book I can borrow? I really need to look something up.

  47. Roomie in College by AlexTheBeast · · Score: 5, Interesting

    I roomed with a guy in college who would calculate a 10 digit by 10 digit multiplication in his head throughout the day on weekends. He would be grilling or watching TV and you would see him get him and write down 1 digit of his answer.

    In grade school he had memorized 52 decks of shuffled cards in some insane short period of time. The teacher would ask him what the 12th card of the 17 deck was... and he would start listing them forward and backward from there.

    We often went to the casinos with him. He would card count and we just would bet whatever he would bet. We would all make a $100 or so and leave. He was always afraid of getting caught.

    Some government agency approached him for running sets of numbers from point a to point b. They liked the fact that he could just put all those digits in his head without a papertrail.

    Last I heard of him, he was avoiding math as much as possible... he enrolled in some DO program in a medical school somewhere. Numbers came too easy for this guy... and he knew he would go crazy if he went into a math field.

    So now he's a doc somewhere. Probably calculating 10 by 10 digit numbers in his head as he examines you...

    1. Re:Roomie in College by SamSim · · Score: 3, Insightful

      Memorizing and regurgitating and manipulating numbers is a very different skill from mathematics. These are things which computers are very good at - things which we DESIGN computers to be good at so we waste minimal time on such trivialities and work on the stuff which a computer can't do, the stuff which maths is really about: logical reasoning with abstracts.

      My point is that just because he's good with numbers doesn't mean he'd enjoy (or be any good at) mathematics. Also, mathematicians can't count.

  48. Re:Repost? by ChairmanMeow · · Score: 2, Funny

    *Checks current value of pi*

    Oh shit...

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  49. Re:Hrmm by DEBEDb · · Score: 2, Funny

    How long did it take to write this post?

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    Considered harmful.
  50. Re:"memorizing 22 random digits in just four secon by DanteLysin · · Score: 2, Interesting

    Reading this article reminds me of a fellow I worked with when I was younger. He could compute mathematical equations such as 56*83 or 123*281 in his head in just a few seconds. But if you asked him, what's 84-21, it would take him forever.

    He was autistic and his brain was just "wired" differently from the "norm".

  51. Quick! by uberdave · · Score: 2, Funny

    What's the 13'th root of 2^13?

    1. Re:Quick! by adolfojp · · Score: 2, Funny

      42?

      Cheers,
      Adolfo

    2. Re:Quick! by Aerion · · Score: 2, Funny

      3, for extremely large values of 2.

  52. AND ANOTHER THING by thetroll123 · · Score: 2, Insightful

    How many attempts did he get? I could do this in under a second if you're prepared to overlook me getting it wrong maybe a few million times first...

  53. Re:I can (seriously) do 43rd root of 100 digit num by Alsee · · Score: 2, Informative

    Actually he was probably telling the truth. It would be fairly easy to train to find the 43rd root of a 100 digit number in under 3 seconds.

    There are only about dozen perfect 43rd powers with exactly 100 digits. You only need to memorize the first 2 digits of those perfect powers to be able to spit out the right root instantly.

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    - - You can't take something off the Internet! That's like trying to take pee out of a swimming pool.
  54. Met him last week! by rxmd · · Score: 2, Interesting
    Actually, I was quite astonished to see this on Slashdot, as I had lunch with the guy last Thursday where I work. He's nice in persion, but one of the secretaries at work said he stinks and should wash more often. I'm afraid I didn't notice it quite as badly...

    He has an interesting way of getting along financially. Basically, he's living off an exclusive contract with the German TV station RTL where he's featured every now and then in shows. He also gives lectures on mathematical topics; RTL makes him charge a very steep EUR 2500 per lecture (about $3000). I think originally he studied psychology; he's still running the psychiatrist's practice in Cologne that he startet off with.

    We were joking about him tackling the Millenium Problems now; I wonder if he's serious about that... but then, there's more to it than calculating in your head really fast.

    --
    As a state gets corrupt, its laws multiply; the most corrupt states have the most numerous laws. (Tacitus, Annales 3:27)