20111226, 09:31  #1 
Jun 2003
5×29×37 Posts 
Next steps for TPS after Primegrid's record twin discovery
Last fiddled with by Oddball on 20111231 at 07:04 Reason: Original title of "right, then, already" doesn't tell much 
20111226, 09:53  #2 
Jun 2009
2^{3}·3·29 Posts 
It's time for Operation Megabit Twin now...

20111226, 12:19  #3 
Sep 2011
Potsdam, Germany
131 Posts 
Yeah, I think the variablen search can retired now. There is no need to search at primes any longer at this low search space.
Regards Odi 
20111230, 05:05  #4 
May 2010
499 Posts 
Wow, what a week. It seems that all the interesting things happen when the project leaders are on vacation. (George, are you there?)
The news of the new twin literally came at the lowest point in my life. While driving to visit some family members over the holidays, I took a slight detour and visited Death Valley. On the day the twin was found, I was hiking in Badwater Basin, the lowest point in North America at an elevation of 282 feet. Strangely enough, the n=195000 twin was found by TPS on a high point, when MooMoo was on a ski trip somewhere in the mountains. Interesting coincidence. But when you've hit rock bottom, the only way you can go is up. So both the Megabit twin and the variablen efforts will continue as usual. Although a variable n range twin would not be the largest found, the Prime Pages keeps a list of the largest 20 twin primes, and it is highly unlikely that a find at ~150,000 digits will be off that list in any of our lifetimes. Besides, a considerable amount of effort was put into sieving the variable n range, and it would be a shame to let it go to waste. But I also recognize that some crunchers want a record, so there's no pressure here  you can pick whichever subproject you want. Primegrid is welcome to join our Megabit Twin effort, provided that both projects share credit for primes found. On further thought, it would be ironic if the n=666666 Sophie search only finds twins and the Megabit Twin search finds only Sophies. Not likely, but well within the realm of possibility. 
20111230, 09:47  #5  
"Robert Gerbicz"
Oct 2005
Hungary
2^{5}·7^{2} Posts 
Quote:
You are really don't plan a long life. The current top twenty twin primes are from 20012011. That's eleven years. 

20111230, 19:24  #6 
A Sunny Moo
Aug 2007
USA (GMT5)
3×2,083 Posts 
I'm not so sure that this is an accurate metric of how quickly new primes will accumulate on the list; probably the biggest reason the list is populated by primes from 20012011 is that the rise of the Internet prompted better coordination in the search for them. Prior to 20002001 or so, if you wanted to search for k*2^n1 primes, you had to either a) write an LLR testing program yourself, or b) have a connection to one of the few people in the world who had done such a thing. Once the original PRP program (and later LLR) became widely available online, everyone and his proverbial brother began searching for primes, and so the list was quickly populated with increasingly large primes. At some point, however, the growth rate slowed quite a bit; it's worth noting that it's been a few years since the twinprime record was last topped. At that rate, the current largest prime won't drop off the list for another 1520 years at the least, barring incredible advances in computing technology.

20111230, 23:11  #7  
May 2007
Kansas; USA
3^{3}·397 Posts 
Quote:
Since Oddball is young; early 20s if my impression from other postings is correct; then I believe that R. Gerbicz is correct. He doesn't plan on living a very long life. Edit: BTW, the title of this thread makes little sense. It would probably get more attention if it was changed to something meaningful. Gary Last fiddled with by gd_barnes on 20111230 at 23:27 Reason: edit 

20111231, 07:04  #8  
May 2010
499 Posts 
Quote:
But speaking of working up the list, would anybody be interested in looking for twins of the form k*2^n+/1, where k<n? The largest known twin of that form was found by Flatlander and is still on the top 20 list. AFAIK, all n<48000 have been searched. Quote:
Quote:


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