Djiezes says: Douglas Adams might've been right all along ... I dont wish to burst the bubble but 42 is not a prime number ... 42 / 2 = not prime 42 / 3 = not prime 42 / 6 = not prime 42 / 7 = not prime Off course you're absolutely right. But they don't claim that 42 is a prime: There is an important sequence of numbers called "the moments of the Riemann zeta function." Although we know abstractly how to define it, mathematicians have had great difficulty explicitly calculating the numbers in the sequence. We have known since the 1920s that the first two numbers are 1 and 2, but it wasn't until a few years ago that mathematicians conjectured that the third number in the sequence may be 42—a figure greatly significant to those well-versed in The Hitchhiker's Guide to the Galaxy. Thanks again for the interesting clip, Djiezes! BTW, I couldn't get the link to work in the clip, so here's the URL with no spaces. The original article by Keating and Snaith (2000) is available for download. Since that article is likely rather hard to read, Ivars Peterson wrote a superb summary of their work in his column (minus the 42 discovery). Gladly done. And thx for those links. I'm definitely going to check those out. Being only moderately smart in math (my dissertation was accidentally mathematical), I want to point out that finding a procedure that will compute all the moments of a function, especially such an important one, is HUGE. Anticipate the not too distant future announcement that all primes are computable. That will mean that all modern cryptography must change. Merican, I've been waiting for quantum crypto. |
View the Top Clips from September 7, 2006
|
||
|
|
|||