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Old 29-09-2008, 06:29 AM
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glenc (Glen)
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New Prime Number

"In August of 2008, a new Mersenne Prime number was discovered on one of the computers belonging to the UCLA Mathematics Department's Program in Computing (PIC). This number turns out to be the World's Largest known prime number, and the discovery has generated a lot of interest. In an effort to save everyone time and energy, I thought I'd put some information up on the web in FAQ format...
The UCLA Mersenne Prime number is 2 to the power 43112609 - 1. The actual number has 12,978,189 digits. If you're so inclined, long-time Mersenne Prime researcher Landon Curt Noll has made the number itself available here. If you're really, really inclined, he also provides the entire number in English (all 328 megabytes of it) here."
http://www.math.ucla.edu/~edson/prime/

Last edited by glenc; 29-09-2008 at 06:46 AM.
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Old 29-09-2008, 06:57 AM
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Can I be so humble and ask what is the point of this huge array of figures, is it useful for anything, or just because they can.

Maybe I have missed something here, but I really can't see its usefulness.

Leon
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Old 29-09-2008, 09:32 AM
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"Q. OK, why are people looking for Mersenne Primes? What are they good for?

A. For the same reasons that people climb mountains, sail unknown seas, and explore the cosmos. It's a challenge! It's exciting to push the envelope of Computational Mathematics and to search for something unknown that you believe is out there. As bonus, unlike the explorers of old, we get to sit in comfortable office chairs while we're searching!

This is not to say that there's no mathematical value in Mersenne Primes. They're certainly of value in the field of cryptography, and may have other uses yet to be discovered.

Prime number researcher Chris Caldwell explores this issue in more depth in his article "Why do people find these primes?"."


Perhaps it has also been useful to develop the capacity of distributed computing across the internet?
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Old 29-09-2008, 09:36 AM
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AstralTraveller (David)
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Good grief! I have trouble remembering my pin numbers. What hope would anyone have of remembering this??
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Old 29-09-2008, 10:03 AM
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Quote:
Originally Posted by leon View Post
Can I be so humble and ask what is the point of this huge array of figures, is it useful for anything, or just because they can.

Maybe I have missed something here, but I really can't see its usefulness.

Leon
It's because they can. It's in the field of Pure Mathematics. Pure mathematicans consider their work as a form of art judged by it's creativity and logic.

And of course they consider themselves superior to Applied Mathematicans (l'm an example of the low life).

"Mathematicians have always had differing opinions regarding the distinction between pure and applied mathematics. One of the most famous (but perhaps misunderstood) modern examples of this debate can be found in G.H. Hardy's A Mathematician's Apology.
It is widely believed that Hardy considered applied mathematics to be ugly and dull. Although it is true that Hardy preferred pure mathematics, which he often compared to painting and poetry, Hardy saw the distinction between pure and applied mathematics to be simply: that applied mathematics sought to express physical truth in a mathematical framework, whereas pure mathematics expressed truths that were independent of the physical world. Hardy made a separate distinction in mathematics between what he called "real" mathematics, "which has permanent aesthetic value", and "the dull and elementary parts of mathematics" that have practical use.
Hardy considered some physicists, such as Einstein and Dirac, to be among the "real" mathematicians, but at the time that he was writing the Apology he also considered general relativity and quantum mechanics to be "useless", which allowed him to hold the opinion that only "dull" mathematics was useful. Moreover, Hardy briefly admitted that--just as the application of matrix theory and group theory to physics had come unexpectedly--the time may come where some kinds of beautiful, "real" mathematics may be useful as well."

Regards

Steven
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Old 29-09-2008, 10:04 AM
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I thought primes were infinite?
Is the significance of this the fact that we can compute at that level?
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Old 29-09-2008, 10:21 AM
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Quote:
Originally Posted by White Rabbit View Post
I thought primes were infinite?
Is the significance of this the fact that we can compute at that level?
Yes there are an infinite number of primes as proven by the ancient Greeks.

There is a mathematical formula that can generate prime numbers. It has been found however that not all numbers generated are primes.

The prime number in question is the largest prime number generated by that formula.

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Steven
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Old 29-09-2008, 01:48 PM
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We may as well argue about cubism versus reality in painting. The fact that the human mind is even capable of understanding this concept called mathematics is remarkable. I should point out mere numeracy is not mathematics. Only when some general rules are derived can it be called mathematics. I am one of these poor ignorant physicists that insists on the reality of the underlying mathematical theorems. The scary thing is that the theorems eventually are shown to have reality as our technology gets better. I cannot prove this yet but the whole Universe is One very large real time quantum computer. All of us are a part of it. We are linked forever to everything that exists since once everything was in the one place at the same time. This was a minuscule time after the big bang. I wish I was smart enough to make some sort of paradigm leap. I am afraid alas that I am a prisoner of my generation. It is up to some yet to be born young person to come up with an answer if it exists.

Bert
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  #9  
Old 29-09-2008, 04:38 PM
Gerald Sargent
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Prime numbers,

The Oxford dictionary defines a prime number is one having only itself as a divisor, so how can a number that is a multiple of 2 be a prime number ?
Gerald.
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Old 29-09-2008, 05:08 PM
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erick (Eric)
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Did you spot the "-1"? It's (2^p)-1 for the Mersenne series, which gets a number one less than any multiple of 2.
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  #11  
Old 29-09-2008, 05:20 PM
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Quote:
Originally Posted by Gerald Sargent View Post
The Oxford dictionary defines a prime number is one having only itself as a divisor, so how can a number that is a multiple of 2 be a prime number ?
Gerald.
Isn't 2 a multiple of 2 AND prime?
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Old 29-09-2008, 05:53 PM
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glenc (Glen)
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Try (2^3)-1=7 is prime, etc.
(2^x) cannot be prime.
(2^x)-1 might be, the computer will see if it is.
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Old 29-09-2008, 06:26 PM
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I failed maths at school .........so its over my head....cheers Kev.
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  #14  
Old 29-09-2008, 06:33 PM
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Quote:
Originally Posted by AstralTraveller View Post
Good grief! I have trouble remembering my pin numbers. What hope would anyone have of remembering this??
yep im with you on that one hahaha

Quote:
Originally Posted by Kevnool View Post
I failed maths at school .........so its over my head....cheers Kev.
yeah well i didnt quite fail maths in school i think my cheekyness helped me pass just hahahah
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