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Old 2007-04-12, 00:03   #1
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Default Patterns

The patterns of numbers are awesome.

Natural Numbers
Prime Numbers
Twin Prime Numbers

The set of twin primes is part of the set of primes. The set of primes is part of the set of the set of natural numbers. There are infinitely many natural numbers. There are infinitely many primes. The nature of prime numbers causes them to form many patterns.

Considering the prime numbers on the natural number line, as we go along the natural number line from left to right one number at a time, each time we arrive at a prime number, that prime itself becomes a prime factor of future composite numbers, yet the primes continue infinitely.

Last fiddled with by akruppa on 2007-04-12 at 08:40 Reason: Not sure what to make of this... I'll approve it and leave you guys to ponder the deeper meaning
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Old 2007-04-12, 15:15   #2
MooooMoo
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Old 2007-04-12, 22:47   #3
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Can you give some good examples of patterns, not just "every third number is not prime" etc?

I would enjoy a graph depicting these patterns, if possible.

Thanks,

Roger
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Old 2007-04-14, 12:18   #4
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Default patters...

ok, patters exist... see here, it is in Spanish but the graph is self explanatory.

http://www.microsiervos.com/archivo/...iral-ulam.html

by the way... the bunny is GREAT lol...
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Old 2007-04-14, 12:52   #5
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Quote:
Originally Posted by Terminal View Post
ok, patters exist... see here, it is in Spanish but the graph is self explanatory.

http://www.microsiervos.com/archivo/...iral-ulam.html

by the way... the bunny is GREAT lol...
Here's a Java program of Ulam's Spiral (the name of the link you gave). It lets you zoom out/in, look for a specific number, start it at a different number, etc.
http://www.alpertron.com.ar/ULAM.HTM
Or more reading on Ulam's Spiral on Wikipedia: http://en.wikipedia.org/wiki/Ulam_spiral

A spiral related to the Ulam Spiral: http://www.numberspiral.com/
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