20070116, 03:39  #56 
Dec 2003
Hopefully Near M48
2×3×293 Posts 
I presume you mean
If you're capable of making a poster with 9,808,358 digits, then 58,711 digits is utterly trivial. They could even print both twins on the same poster. Last fiddled with by jinydu on 20070116 at 03:42 
20070116, 04:35  #57 
Apprentice Crank
Mar 2006
11·41 Posts 
I emailed Chris Caldwell about the discovery and requested the project codes for TPS and PrimeGrid.
Rytis: For the next n, our primes will be big enough to get into the top 5000 primes list. Will PrimeGrid submit those primes automatically, or will the finders have to submit their primes manually onto the site? 
20070116, 05:12  #58 
Nov 2003
2×1,811 Posts 
Here is one version of the poster on 2 pages in A3 format, in 8pt Ariel Narrow. It fits nicely. After the print out, cut the top margin on page 2 and paste it at the bottom of page 1. All margins are 12mm (1/2 inch) and can be printed on any A3 printer.
BTW, digits can be produced effortlessly using PARI/GP Code:
p=2003663613*2^1950001; write("p58711.txt",p); Last fiddled with by Kosmaj on 20070116 at 05:14 
20070116, 07:03  #59 
Nov 2006
1010011_{2} Posts 
I can notify automatically. How?

20070116, 08:56  #60 
Oct 2005
Italy
153_{16} Posts 
MoooMoo, or anyobdy else, if you have time, could you write a small paper (1 or 2 pages) describing our project and our discovery, putting some data in it (how many users, how many primes found before twins, probability, etc) ?

20070116, 09:42  #61 
"Nancy"
Aug 2002
Alexandria
2464_{10} Posts 
Maybe you can send a brief announcement to the NMBRTHRY list.
But in any case: Congratulations to the discoverers and all project participants! Alex Last fiddled with by akruppa on 20070116 at 09:43 
20070116, 12:59  #62 
"Mike"
Aug 2002
7810_{10} Posts 

20070116, 14:08  #63  
I quite division it
"Chris"
Feb 2005
England
31×67 Posts 
No, I meant the other twin.
Quote:
Maybe I should use more smilies, I'm soooo misunderstood. 

20070116, 16:51  #64  
Apprentice Crank
Mar 2006
11·41 Posts 
Quote:
 Number of users: 287  Number of users who tested at least 1M: 129  Number of users who found at least 1 prime: 91  Number of nontwin primes found: 502  Number of primes found by PrimeGrid: 304  Number of primes found by TPS: 198  Number of ranges complete: 1176M by TPS, 1620M by PrimeGrid, 2796M total  Number of candidates tested: 1,006,560  Average prime density: 1 prime every 5.57M  Total amount of computing power: 315 P90 CPU years (or 3.03 Pentium 4 CPU years (3.4 GHz))  Days needed to find a twin: 277  Time needed to find a twin: 9 months and 2 days  Average prime discovery rate: 1.81 primes per day  Average range completion rate: 10.09M per day  Progress towards completing the whole 25G range: 11.18%  Probability that a twin would be discovered after searching only 2796M: 22.1% Last fiddled with by MooooMoo on 20070116 at 17:04 Reason: more stats :) 

20070116, 23:40  #65  
Einyen
Dec 2003
Denmark
2×3×7×71 Posts 
Gratz on the great discovery!
Quote:
What is the formula for these probabilities for different n's? 

20070117, 01:14  #66 
"Robert Gerbicz"
Oct 2005
Hungary
58A_{16} Posts 
I've used twin prime conjecture to estimate what is the probability that a large random b,b+2 is a twin prime. Here it is the fast PARI program:
Code:
T=4.0;forprime(p=3,10^5,T*=(p2)/p/(11/p)^2);p=T*(333333*log(2))^2;\ forstep(i=5,100,5,print("k=",i," G ","chance of finding a twin:",\ 1(1p)^(i*10^9/2))) Last fiddled with by R. Gerbicz on 20070117 at 01:16 
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