
View Poll Results: The next exponent after n=333333 will be...  
under n=400K  2  8.70%  
between n=400K and 460K  4  17.39%  
between n=460K and 520K  12  52.17%  
between n=520K and 580K  1  4.35%  
above n=580K  4  17.39%  
Voters: 23. You may not vote on this poll 

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20070115, 23:29  #1 
Apprentice Crank
Mar 2006
706_{8} Posts 
After n=333,333, our next exponent will be...
Since we've just found a twin , I made this poll to let people decide which n to sieve after n=333,333. The final votes will be counted by the end of the month, so there'll be enough time to sieve whichever n comes after n=333,333.
As a reference, n= 400,000 takes about 2.07 times as much computing power to find a twin than n=333,333 n= 460,000 takes about 3.63 times as much computing power n= 520,000 takes about 5.92 times as much computing power n= 580,000 takes about 9.17 times as much computing power Also, n=333,333 is expected to take 73 Pentium 4 (3.4 Ghz) CPU years before we find a twin. edit: As usual, the votes are public because I'm only counting the votes of people who contributed to the project for n=195000. Of course, nonparticipants may express their opinions and suggest candidates. important edit #2: I made a new poll because there was too much overlap. The most popular options (n=500K, n=2^19, n=587K, and n=number big enough for a 200000 digit prime) were all in the same category. This revised poll should fix the problem, but you'll need to vote again. Last fiddled with by MooooMoo on 20070116 at 04:28 
20070115, 23:33  #2 
"Robert Gerbicz"
Oct 2005
Hungary
2672_{8} Posts 
My suggests, a little larger:
n=500,000 n=524,288 this is 2^19, nice number. 
20070115, 23:44  #3 
Oct 2005
Italy
523_{8} Posts 
MooMoooo I'd like to start sieving this exponent from scratch and provide regularly the presieved files on twinprimesearch.org (given that soon all LLR testing will be done by PrimeGrid).
Can we decide the exponent as soon as possible ? (not a month, but some days ?) Somebody has proposed this roadmap: Goal : Digits : n : Remarks :     1 58,710 195,000 2 100,000 332,190 3 175,258 582,192 > 500,000 exponent* 4 200,000 664,383 5 400,515 1,330,480 >1,000,000 exponent* 6 500,000 1,660,961 7 801,030 2,660,962 >2,000,000 exponent* 8 1,000,000 3,321,925 9 3,252,575 10,804,819 >5,000,000 exponent* 10 5,000,000 16,609,638 Thanks 
20070116, 03:30  #4 
Jun 2003
3^{2}×19×29 Posts 
If someone can post the typical FFT size (using LLR) for SSE2 & nonSSE2 machines, that'll probably help to make an informed decision.

20070116, 03:41  #5 
P90 years forever!
Aug 2002
Yeehaw, FL
1110100111011_{2} Posts 

20070116, 04:42  #6  
Apprentice Crank
Mar 2006
2·227 Posts 
Quote:
Quote:
Quote:
Last fiddled with by MooooMoo on 20070116 at 04:44 

20070116, 08:34  #7 
Oct 2005
Italy
101010011_{2} Posts 
I'll wait for what n you decide.
Last fiddled with by pacionet on 20070116 at 08:35 
20070116, 14:42  #8 
Jan 2007
2·3 Posts 
either n=400.000 or 444.444 or the largest prime <400.000
It's been a long time since my days at school: does 2^2^19 simplifies in something else? Last fiddled with by Padanian on 20070116 at 14:42 
20070116, 15:08  #9 
Jan 2007
Germany
456_{8} Posts 
a question or suggestion
Why don't search the group for twins with form k*p#+/1 ?
I know that a PRPTest is 4 times slower,but :  its possible we scan k's from 0 to 2000M with one task and we have one k for a 100k digit twin (to sieve 50G is a lot of time !)  serveral people can uncase an the first that comes along interval and have perhaps a full strike in very short time. best and thanks for comments 
20070116, 15:41  #10  
"Robert Gerbicz"
Oct 2005
Hungary
2672_{8} Posts 
Quote:
And look at the top 20 twin primes all of them are in the form k*2^n+1. This is the fastest way to find a twin prime. 

20070116, 16:47  #11 
Jan 2007
.de
2·3^{2} Posts 
It's an "exponent tower", which you can't simplify. To calculate this number you have to calculate 2^19(=524.288) first, then you have to calculate 2^524.288(=No, I won't write it out:surprised ).

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