November 21st, 2009, 03:47 PM  #1 
Senior Member Joined: Aug 2008 From: Blacksburg VA USA Posts: 338 Thanks: 4 Math Focus: primes of course  # of primes
Easy one. I realize the count is infinite, but in terms of certified primes, excluding specialized form ones, is the certified number tracked and updated anywhere by anyone? Maybe a few years ago it was one number, today is a few million more, whatever. [I presume certified xcludes pseudoprimes?] Thanks 
November 21st, 2009, 07:59 PM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: # of primes Quote:
Code: 1732171865069032155779794045187 Code: [2 2 1] [17 2 1] [443 2 1] [38401050773 2 1]  
November 22nd, 2009, 05:12 AM  #3 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: # of primes
Perhaps you are thinking of Mersenne primes. Fortyseven are known. They are the ronin of math. Okay, maybe not. 
November 22nd, 2009, 10:01 AM  #4 
Senior Member Joined: Aug 2008 From: Blacksburg VA USA Posts: 338 Thanks: 4 Math Focus: primes of course  Re: # of primes
yes I meant normal primes. CRG, are you saying to merely use isprime of Pari? To help me learn, how xactly was that certificate retrieved out of Pari? thanks ... 
November 22nd, 2009, 04:05 PM  #5  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: # of primes Quote:
Edit: As of the current build, 1 is the only flag that gives a certification. If you want a better method, try Primo or François Morain's ECPP.  

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