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 2007-04-12, 00:03 #1 SK8ER-91823   2·5·7·61 Posts 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
 2007-04-12, 15:15 #2 MooooMoo Apprentice Crank     Mar 2006 2·227 Posts
 2007-04-12, 22:47 #3 roger     Oct 2006 22·5·13 Posts 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
 2007-04-14, 12:18 #4 Terminal   Apr 2007 3 Posts 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...
2007-04-14, 12:52   #5
TimSorbet
Account Deleted

"Tim Sorbera"
Aug 2006
San Antonio, TX USA

11×389 Posts

Quote:
 Originally Posted by Terminal 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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