20080610, 22:53  #1 
I quite division it
"Chris"
Feb 2005
England
31·67 Posts 
Reportable Twin Found
Hi
I have found a top 10 twin, what do I type in the prime submission box? Chris 
20080610, 23:01  #2 
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
2×3×23×31 Posts 
Judging by the twins already there, I'd guess:
Code:
k*2^n1 Twin (p) k*2^n+1 Twin (p+2) 
20080610, 23:12  #3 
I quite division it
"Chris"
Feb 2005
England
31×67 Posts 
That worked, thank you.
108615*2^110342+1 is twin prime! Comes in at 7th place 
20080912, 11:46  #4 
I quite division it
"Chris"
Feb 2005
England
4035_{8} Posts 
Update
Since finding this twin, I have spent most of my CPU time searchng for a record twin < n=333,333.
So far I've found lots of Riesels, but no twin. I'd would be nice to hold the record even if it's only for a short while. 
20091215, 16:36  #5 
I quite division it
"Chris"
Feb 2005
England
31×67 Posts 
Just for fun ...
Now that finding the world's biggest twin is (realistically) out of my reach, I decided to set myself a different challenge.
Thus: 23321624*3^53005+1 is twin. Buzz Aldrin was described by David Letterman as 'The first man named Buzz to walk on the moon.' Well, this is the world's biggest twin not of the form k*2^n+1. Found with NewPGen and the gofaster WinPFGW. (A new proofcode, so there might be a delay before it makes the list.) 
20101112, 15:01  #6  
Jun 2009
2^{3}·3·29 Posts 
Quote:
22835841624*7^54321+1 is twin Last fiddled with by PuzzlePeter on 20101112 at 15:01 

20101112, 15:23  #7 
"Tapio Rajala"
Feb 2010
Finland
3^{2}×5×7 Posts 

20101112, 17:56  #8 
I quite division it
"Chris"
Feb 2005
England
81D_{16} Posts 

20101112, 19:27  #9 
Jun 2009
2^{3}·3·29 Posts 
It took about 1.7M tests, each one about 80140 seconds, depending on the machine. Plus a week of sieving on one quad.
I guess I was lucky. I had a minus prime each 1900 tests. So I expected 1900*1900~3.5M tests, but needed only half of that. Last fiddled with by PuzzlePeter on 20101112 at 19:28 
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