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RE: [xml-dev] ANN: the first million prime numbers in XML format
- From: "Rushforth, Peter" <Peter.Rushforth@NRCan-RNCan.gc.ca>
- To: Dimitre Novatchev <dnovatchev@gmail.com>, "Costello, Roger L."<costello@mitre.org>
- Date: Fri, 6 Jul 2012 15:03:46 +0000
Er, pardon me for asking, but what's so special about prime numbers?
Thanks,
Peter
________________________________________
From: Dimitre Novatchev [dnovatchev@gmail.com]
Sent: July 6, 2012 12:39 AM
To: Costello, Roger L.
Cc: xml-dev@lists.xml.org
Subject: Re: [xml-dev] ANN: the first million prime numbers in XML format
A small correction:
I was speaking about all the primes less than 50 million, nor about
the first 50 million primes.
Cheers,
Dimitre.
On Thu, Jul 5, 2012 at 4:49 PM, Dimitre Novatchev <dnovatchev@gmail.com> wrote:
> I have had for years even bigger collections of primes and have used
> them to solve Project Eulet problems entirely with XSLT.
>
> The first 50 million primes occupy 27MB.
>
> The format is more convenient for XSLT:
>
> <xsl:variable name="vcountPrimesLT50M" as="xs:integer"
> select="count($vPrimesLT50M)"/>
>
> <xsl:variable name="vPrimesLT50M" as="xs:integer+"
> select=
> "
> 2,3,5,7,11,13,17,19
>
> ,23,29,31,37,41,43,47,53
>
> ,59,61,67,71,73,79,83,89
>
> ,97,101,103,107,109,113,127,131
>
> ,137,139,149,151,157,163,167,173
>
> ,179,181,191,193,197,199,211,223
>
> . . . . . .
>
>
> If someone is interested, please ping me and I will make these files available.
>
>
> Cheers,
> Dimitre.
>
> On Thu, Jul 5, 2012 at 1:07 PM, Costello, Roger L. <costello@mitre.org> wrote:
>>
>> Hi Folks,
>>
>> I often wondered why mathematics books seem so focused on prime numbers.
>>
>> Now I know.
>>
>> Recall what a prime number is: an integer larger than 1 is said to be
>> prime if it cannot be written as a product of two smaller positive integers.
>>
>> Here are some prime numbers: 2, 3, 5, 7, 11, 13.
>>
>> A number that is not prime is said to be composite. Here are some
>> composite numbers: 4, 6, 8, 9, 10, 12.
>>
>> So every positive integer is either a prime or a composite.
>>
>> It can be proven that every composite number can be decomposed into a
>> product of primes.
>>
>> Further, there is only one way to factorize a composite number into
>> primes. This is called the unique factorization theorem.
>>
>> So, the building blocks of every integer beyond 1 are primes. In this
>> sense the primes from mathematics correspond to the atoms from chemistry and
>> deserve the same kind of intense scrutiny.
>>
>> Neat!
>>
>> So I created two XML documents, collectively containing the first million
>> prime numbers.
>>
>> The first XML document contains the first 500,000 primes and the second
>> XML document contains the 500,001 to 1,000,000 prime numbers:
>>
>> http://www.xfront.com/first-500000-primes.xml
>> http://www.xfront.com/second-500000-primes.xml
>>
>> Be patient. They are large files (10 MB and 11 MB, respectively)
>>
>> /Roger
>>
>> _______________________________________________________________________
>>
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>
>
>
> --
> Cheers,
> Dimitre Novatchev
> ---------------------------------------
> Truly great madness cannot be achieved without significant intelligence.
> ---------------------------------------
> To invent, you need a good imagination and a pile of junk
> -------------------------------------
> Never fight an inanimate object
> -------------------------------------
> To avoid situations in which you might make mistakes may be the
> biggest mistake of all
> ------------------------------------
> Quality means doing it right when no one is looking.
> -------------------------------------
> You've achieved success in your field when you don't know whether what
> you're doing is work or play
> -------------------------------------
> Facts do not cease to exist because they are ignored.
> -------------------------------------
> I finally figured out the only reason to be alive is to enjoy it.
--
Cheers,
Dimitre Novatchev
---------------------------------------
Truly great madness cannot be achieved without significant intelligence.
---------------------------------------
To invent, you need a good imagination and a pile of junk
-------------------------------------
Never fight an inanimate object
-------------------------------------
To avoid situations in which you might make mistakes may be the
biggest mistake of all
------------------------------------
Quality means doing it right when no one is looking.
-------------------------------------
You've achieved success in your field when you don't know whether what
you're doing is work or play
-------------------------------------
Facts do not cease to exist because they are ignored.
-------------------------------------
I finally figured out the only reason to be alive is to enjoy it.
_______________________________________________________________________
XML-DEV is a publicly archived, unmoderated list hosted by OASIS
to support XML implementation and development. To minimize
spam in the archives, you must subscribe before posting.
[Un]Subscribe/change address: http://www.oasis-open.org/mlmanage/
Or unsubscribe: xml-dev-unsubscribe@lists.xml.org
subscribe: xml-dev-subscribe@lists.xml.org
List archive: http://lists.xml.org/archives/xml-dev/
List Guidelines: http://www.oasis-open.org/maillists/guidelines.php
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