August 21st, 2017, 09:19 PM  #51 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  
August 22nd, 2017, 04:40 AM  #52  
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,934 Thanks: 1128 Math Focus: Elementary mathematics and beyond  Quote:
 
August 22nd, 2017, 05:09 AM  #53  
Senior Member Joined: May 2016 From: USA Posts: 1,310 Thanks: 551  Quote:
Counting the primes in order of magnitude, is there a procedure or formula for finding the nth prime more efficient than than just testing the odd numbers above the (n1)th prime in succession?  
August 22nd, 2017, 05:51 AM  #54 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,934 Thanks: 1128 Math Focus: Elementary mathematics and beyond 
I believe that one can use the Riemann hypothesis for primes up to $10^{13}$. It gives a good approximation with accuracy increasing as numbers get larger. Maybe that's as good as it gets.

August 23rd, 2017, 04:22 AM  #55  
Banned Camp Joined: Dec 2012 Posts: 1,028 Thanks: 24  Quote:
On this topic you can find some more detail: Supersymmetric Complicate Numbers Sorry to be incomplete, but all is under development and was the 3th very hard (unpaid) job for me... Thanks ciao Stefano  
September 11th, 2017, 05:54 AM  #56 
Newbie Joined: Jan 2010 Posts: 9 Thanks: 0 
The formula that generates whole prime numbers : y=(2^(x1)1)/x ( formula1) If y is an integer , then x must be absolutely a prime number . the set of x for any value of integer y ; x = { 3,5,7,11,13,....} and it generates all the prime numbers . The question is that for the set of prime numbers ( x1 , x2) does the formula generates all the even numbers or not ? y1 = (2^(x11) 1 ) /x1 + (2^(x21) 1 ) /x2 for ( x1 , x2) = ( 3,3) then y1 = 2 ; for ( x1 , x2) = ( 3,5) then y2 = 4 ; for ( x1 , x2) = ( 5,5) then y3 = 6 ; for ( x1 , x2) = (5,7) then y4 = 8 ; .................... The result for whole prime sets of ( x1 , x2) then you can generate all the even number's set . P.S.: For the proof of formula1 and to learn more about it please contact me . For example formula1 must be always divided by 3 . METE UZUN TEL: +905315540733 email: meteuzun@hotmail.com 

Tags 
primes, proof, random 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Elementary proof of the 1D simple random walk "infinite crossing" theorem  Bromster  Algebra  0  December 24th, 2015 10:09 PM 
how "random" are online "random" spinners?  skynet  Probability and Statistics  1  June 18th, 2014 12:26 PM 
A "simple" application of dirac delta "shift theorem"...help  SedaKhold  Calculus  0  February 13th, 2012 11:45 AM 
"recurrent" mersenne primes  brunojo  Number Theory  70  June 15th, 2009 04:37 PM 