20130208, 12:46  #1 
"Jason Goatcher"
Mar 2005
5·701 Posts 
Prime pattern thoughts
First, I want to apologize for not knowing the proper term for the concept, but...
Maybe the reason we haven't found a pattern for prime numbers is because of the very way they're generated. A prime is a number only divisible by 1 and itself. So, by it's very definition, it's resistant to adhering to a pattern. If I'm not mistaken, there's a mathematical concept that describes a function where you basically take a stream of numbers(or any symbol) and continue to write numbers with the main rule being you write them so that they can't be thought of as matching a pattern with the previous numbers. So, I might start with 1, then write a 2, then write a 4 so that they're not consecutive, then write a 5 so it's not doubling of the prevous term, then write a 6 so that we're not skipping every third term, and so on. So, maybe instead of a pattern like we normally think of it, maybe the pattern is somehow connected to the concept that I just described, but can't name. Last fiddled with by jasong on 20130208 at 12:47 
20130208, 13:05  #2  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}·131 Posts 
Quote:


20130208, 18:09  #3 
Apr 2010
Over the rainbow
3^{2}×281 Posts 
chaos pattern?

20130208, 18:45  #4 
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
the primes>3 are a subset of the numbers with gaps 0,2,4 mod 6 such that any one gap doesn't divide by a number already on the list , probably no ? okay maybe slightly off.
Last fiddled with by science_man_88 on 20130208 at 18:46 
20130209, 02:41  #5 
I quite division it
"Chris"
Feb 2005
England
31×67 Posts 
A series of numbers where the next element is chosen to not form a pattern would not look like the primes because of the twins. Am I missing something?
Last fiddled with by Flatlander on 20130209 at 02:42 
20130210, 03:07  #6  
"Jason Goatcher"
Mar 2005
3505_{10} Posts 
Quote:
If this is the the, I mean. Last fiddled with by jasong on 20130210 at 03:07 

20130210, 04:39  #7 
Aug 2006
2^{2}×1,493 Posts 
I'm sorry, this is a pet peeve of mine.
We've discovered hundreds, probably thousands, of patterns in the primes. Ulam spirals, Dirichlet's theorem, Wilson's theorem, the ErdősKac theorem, Maier's theorem, ... the list goes on. There are surely over a hundred formulas for the primes, depending on what you count: Guy's Unsolved Problems in Number Theory devotes a whole section to it, both of Ribenboim's books on primes discuss this at length, and I've seen dozens of research papers on the topic. Wikipedia and MathWorld both have long articles (which are yet rather incomplete compared to the vast published total). How can anyone possibly question that we've discovered patterns in the primes? 
20130210, 15:12  #8  
Einyen
Dec 2003
Denmark
2·3·5·101 Posts 
http://mathworld.wolfram.com/PrimeAr...ogression.html
Quote:


20130210, 20:22  #9  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{2}×3^{2}×7×37 Posts 
Quote:


20130211, 02:06  #10 
∂^{2}ω=0
Sep 2002
República de California
11606_{10} Posts 
Ecclesiastes must've had bad arthritis (too much stiffness of the joints) or erectile dysfunction (too little), it seems.
Reminds me of the one about the old biblebelt couple sitting in their rocking chairs out on their porch, listening to the preacher on the radio. Preacher says "Now I want all of my listeners to place a hand over that part of their body which is AFFLICTED, yeahess, and pray with me and be HEALED, yeahess!" The old woman places her right hand over her heart and says "please help me heal this broken heart of mine, lawdy!" When she sees her old husband place his right hand over his crotch, she snaps "Honey, preacher man said heal the sick, not raise the dead!" 
20130211, 03:11  #11  
"Lucan"
Dec 2006
England
2·3·13·83 Posts 
Quote:


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