20090911, 00:49  #1 
1A3B_{16} Posts 
What's the largest known sequential prime?
What's the largest known prime for which all lower primes are also known?
Thanks, Tony. 
20090911, 01:54  #2  
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
4,271 Posts 
Quote:
Seriously though, making such a list would take up a huge amount of hard drive space. It's really just not a practical thing to do. http://primes.utm.edu/lists/small/millions/ has a list of the first 50 million primes (the last one is a little under 1 billion), but even that could be generated on your computer by an efficient sieve program far, far faster than it could be downloaded and read from disk. http://primes.utm.edu/nthprime/ can be used to find the Nth prime with N<10^12 (prime<~3*10^13), but it does so by a clever method involving counting 'bins' of primes and sieving a small chunk of numbers for the actual prime you're looking for, not by storing every prime up to a limit. Last fiddled with by MiniGeek on 20090911 at 01:56 

20090911, 02:21  #3 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
6334_{10} Posts 
What's the largest known sequential prime?

20090911, 07:41  #4 
Dec 2008
you know...around...
2·353 Posts 
I think a quite good measure of what the OP is looking for can be found at Tomás Oliveira e Silva's site:
http://www.ieeta.pt/~tos/goldbach.html 
20090911, 11:46  #5  
Nov 2003
2^{2}·5·373 Posts 
Quote:
The answer is almost impossible to know anyway. An answer to the original question would almost certainly not be published. It is not something that a mathematician would care about. If I do a private computation, part of which generates all primes to 10^14, does this mean that 10^14 becomes an answer to the question? Even if the primes remain in DRAM and are never written to any external source? What does the word "known" mean in the context of the question. And I can't think of an application where raising the limit would be important. 

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