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Prime Numbers Get Hitched
Seed Magazine ^ | Feb/Mar 2006 | Marcus du Sautoy

Posted on 04/11/2006 3:08:56 PM PDT by LibWhacker

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To: muawiyah

"Mathematics is not science?

Who told you that?"

Mathematicians and scientists.


41 posted on 04/11/2006 3:50:02 PM PDT by CarolinaGuitarman ("There is grandeur in this view of life....")
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To: LibWhacker
It would mean that the primes behave rather like the random molecules of gas in a room: Although you might not know quite where each molecule is, you can be sure that there won't be a vacuum at one corner and a concentration of molecules at the other.

The frequency with which some part of a room will suddenly exhibit a substantial vacuum is - disturbingly - real and calculable. I believe it is many times the age of the universe for most examples, but it is something crazy to consider no less.

42 posted on 04/11/2006 3:52:41 PM PDT by SteveMcKing
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To: dhs12345
Wouldn't the reality that we humans attempt to explain with math and science still exist?

This question has been around a long time and the final answer is not in. Math and science majors should be encouraged to read some philosophy so they might have an idea what it is they are trying to do.

43 posted on 04/11/2006 3:53:44 PM PDT by RightWhale (Off touch and out of base)
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To: dhs12345
So you are saying that mathematics wouldn't exist if we humans didn't?

Well, I think so. But that's like a "tree falls in the forest"-type question.

Wouldn't the reality that we humans attempt to explain with math and science still exist?

I think you're conflating "science" with "nature". Science is a process. It's the application of the scientific method. It's the same thing as mathematics in that sense. If there's no one to perform the science, it will not occur. But nature will still be there.

44 posted on 04/11/2006 3:53:45 PM PDT by AmishDude (AmishDude, servant of the dark lord Xenu.)
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To: LibWhacker

Why do I have the feeling there must be some kind of Fatwa against this?


45 posted on 04/11/2006 3:54:45 PM PDT by colorado tanker (We need more "chicken-bleep Democrats" in the Senate!)
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To: patton

Doesn't that make you an economist?


46 posted on 04/11/2006 3:54:45 PM PDT by AmishDude (AmishDude, servant of the dark lord Xenu.)
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To: AmishDude

LOL, I'm sharing that joke and your addendum with my boss ( mathematician who wrote the Apollo trajectory software).


47 posted on 04/11/2006 3:55:04 PM PDT by stacytec (Nihilism, its whats for dinner)
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To: Vicomte13
I suppose it's the product of the first three primes.

I counter-suppose that the number "5" would disagree with you.

48 posted on 04/11/2006 3:56:12 PM PDT by krb (ad hominem arguments are for stupid people)
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To: Doohickey

42 isn't prime, but it is the "third moment of the Riemann zeta function," which in turn is important if you want to understand primes.


49 posted on 04/11/2006 3:56:15 PM PDT by LibWhacker
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To: NathanR

"I don't want to burst your bubble or anything, but 5 is the next prime, not 7. (after 2 and 3)"

No, no, no.
You're missing the point!
5 doesn't count for the Trinity of Primes, because it's just the sum of the first two primes, and when you sum the first prime and 5 (because everything has to be envisioned in a circle), you get 7! And that is why 42 is holy.
Don't you see now?


50 posted on 04/11/2006 3:56:23 PM PDT by Vicomte13 (Et alors?)
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To: AmishDude

No, it made me wealthy. LOL.


51 posted on 04/11/2006 3:57:26 PM PDT by patton (Once you steal a firetruck, there's really not much else you can do except go for a joyride.)
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To: LibWhacker
I am somewhat surprised that the fact that it is indeed possible to generate the primes from a set of diophantine equations doesn't get more play:

Another approach might be to ask if there is a non-constant polynomial all of whose positive values (as the variables range in the set of non-negative integers) are all primes. Matijasevic showed this was possible in 1971 [Matijasevic71], and in 1976 Jones, Sato, Wada and Wiens gave the following explicit example of such a polynomial with 26 variables (and degree 25).

(k+2){1 – [wz+h+jq]2 – [(gk+2g+k+1)(h+j)+hz]2 – [2n+p+q+ze]2 – [16(k+1)3(k+2)(n+1)2+1–f2]2 – [e3(e+2)(a+1)2+1–o2]2 – [(a2–1)y2+1–x2]2 – [16r2y4(a2–1)+1–u2]2 – [((a+u2(u2a))2 –1)(n+4dy)2 + 1 – (x+cu)2]2 – [n+l+vy]2 – [(a2–1)l2+1–m2]2 – [ai+k+1–li]2 – [p+l(an–1)+b(2an+2an2–2n–2)–m]2 – [q+y(ap–1)+s(2ap+2ap2–2p–2)–x]2 – [z+pl(ap)+t(2app2–1)–pm]2}

(From the web page http://primes.utm.edu/glossary/page.php/MatijasevicPoly.html . You can find them broken out here at MathWorld.)

52 posted on 04/11/2006 3:57:41 PM PDT by snowsislander
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To: Vicomte13

Is this the drunkard's walk?


53 posted on 04/11/2006 3:58:46 PM PDT by patton (Once you steal a firetruck, there's really not much else you can do except go for a joyride.)
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To: Vicomte13
Alas, no. The product of the first three primes (2, 3, 5) is 2 x 3 x 5 = 30.

But I too would have liked to read more about the '42' connection.

54 posted on 04/11/2006 3:58:57 PM PDT by Tenniel (I'm against a homogenized society because I want the cream to rise. -- Robert Frost)
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To: krb

LOL. Well done.


55 posted on 04/11/2006 3:59:15 PM PDT by savedbygrace (SECURE THE BORDERS FIRST (I'M YELLING ON PURPOSE))
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To: Vicomte13

Or, you could just say you took the 1st, 2nd, and 4th primes, because....

2^0 = 1
2^1 = 2
2^2 = 4

Why that would have any bearing on anything, I don't know, but it sounds good, doesn't it? :-D


56 posted on 04/11/2006 3:59:27 PM PDT by mwyounce
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To: SteveMcKing

That's why I don't want to live forever. Because if I did, one day I'd wake up embedded in the floor.


57 posted on 04/11/2006 3:59:38 PM PDT by LibWhacker
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To: 2harddrive

"The third prime is 5."

Sigh.
You're not getting in tune with the ZEN of the article...
5 may be the third prime, technically, but it can be disregarded for our purposes because then the product of the first three primes won't be 42.
Therefore, even though 5 is TECHNICALLY a "prime number", it's not in this case. It's a mathematical quantum particle that has no mass for our particular purposes.
Which proves that gravitrons exist.
Surely you see this.


58 posted on 04/11/2006 3:59:38 PM PDT by Vicomte13 (Et alors?)
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To: stacytec
I have a good one:

Q: How many university administrators does it take to change a lightbulb?

A: Change? CHANGE!?!? CHANGE!?!?!?!?!?!

It's better if you hear it.

59 posted on 04/11/2006 4:00:44 PM PDT by AmishDude (AmishDude, servant of the dark lord Xenu.)
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To: burzum
Alas, here we have the axiom having a quantum source ~ and vice versa (to some).

Science (l. scientium) is simply accumulated knowledge ~ and Mathematics (l. matemateca) is a study of numbers and the accumulated knowledge therefrom.

We now know with certainty that the study of numbers is the study of underlying reality ~ which is much more than a simple accounting for the numbers.

Philosophers have always pointed out that mathematics is mother to science, and now, we have <-> Fur Shur, eh!

60 posted on 04/11/2006 4:01:08 PM PDT by muawiyah (-)
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