20210820, 07:32  #1 
Jan 2007
Germany
1A5_{16} Posts 
new prime ktuplet page
Hello members !
Tony Forbes told me, from sep. 21 is the old "prime ktuplet" page frozen by google. He ask me for taking over his work. Yes, today I bought a new domain. I will try to carry on his layout. New link: www.pzktupel.de\ktuplets.htm So all future results or records to me. best wishes Norman 
20210820, 09:10  #2 
Romulan Interpreter
"name field"
Jun 2011
Thailand
2^{4}·613 Posts 
Nice one, good luck!
A small observation, the term "first appearance", used a lot there, is somehow confuse (and misleading), for sure most of those are not "first appearances" (i.e. there are a lot of smaller primes of the same size, for almost all those in the tables). It seems you use the term as the earliest date of discovery, or something. All those cases should bear an asterisk or footnote saying so. Last fiddled with by LaurV on 20210820 at 09:12 
20210820, 10:37  #3 
Jan 2007
Germany
110100101_{2} Posts 
first appearances
You mean "first known appearances" is better ?
"first appearances" is take over 
20210820, 12:13  #4 
"Mark"
Apr 2003
Between here and the
2·5·647 Posts 
Could you add details on software that can be used (and how to use it) for finding tuplets? I think that many people would be interested in finding new records. A few might actually be interested in improving the speed of the software used to find them.

20210821, 11:21  #5  
Romulan Interpreter
"name field"
Jun 2011
Thailand
10011001010000_{2} Posts 
Quote:
Code:
firstTwins(fromDigit=1, toDigit=200)= { for(n=0,toDigitfromDigit, q=1; forprime(p=10^(fromDigit+n1),10^(fromDigit+n), if(pq == 2, if(q == 3, print("Found 1 digit: 10^0+3 + {0,2}"), print("Found "fromDigit+n" digits: 10^"fromDigit+n1"+"q10^(fromDigit+n1)" + {0,2}") ); break ); q = p ) ); } gp > firstTwins(100,110) Found 100 digits: 10^99+6001 + {0,2} Found 101 digits: 10^100+35737 + {0,2} Found 102 digits: 10^101+139201 + {0,2} Found 103 digits: 10^102+106759 + {0,2} Found 104 digits: 10^103+29659 + {0,2} Found 105 digits: 10^104+3457 + {0,2} Found 106 digits: 10^105+113617 + {0,2} Found 107 digits: 10^106+94789 + {0,2} Found 108 digits: 10^107+52819 + {0,2} Found 109 digits: 10^108+66517 + {0,2} Found 110 digits: 10^109+35371 + {0,2} gp > ## *** last result computed in 6,876 ms. gp > nextprime(10^156)10^156 % = 451 gp > firstTwins(157,157) Found 157 digits: 10^156+10489 + {0,2} gp > Last fiddled with by LaurV on 20210821 at 11:27 

20210821, 11:40  #6  
Dec 2008
you know...around...
3·229 Posts 
Gute Arbeit!
Quote:
Then you may add "first appearances of ... digits", as you have also calculated them, as well, maybe with a link to your detailed list "smallestndigitprimektuplets". 

20210822, 09:34  #7  
Jan 2007
Germany
421 Posts 
Quote:
I will not change the wording of T. Forbes, but I have extended under "27." a link to the smallest ktuplet session. http://www.pzktupel.de/ktuplets BTW, today I found the second kind of "smallest googol prime 10tuplet". So the pair is now known. 

20210825, 19:44  #8 
Jan 2007
Germany
421 Posts 
Early discovery
Okay, I changed it now into "Early discovery"
and took other colors. http://www.pzktupel.de/ktuplets I hope it is correct now. Norman 
20210827, 04:24  #9 
Romulan Interpreter
"name field"
Jun 2011
Thailand
2^{4}×613 Posts 
Nice. I love the "smallest tuples" list, the only observation is that you should put the "last updated" text at the beginning, and not at the end. That's for us, so you won't force the reader to go to the end (when I open the page I should see immediately if there was any update, and don't waste my time), but also for you so you won't forget changing the date when you make updates, hihi (the 2012 can't be right as long as you have tuples discovered in 2013, 2014, etc).
Last fiddled with by LaurV on 20210827 at 04:25 
20210827, 08:53  #10 
Jan 2007
Germany
421 Posts 
>> "last updated" text at the beginning, and not at the end.
>> the 2012 can't be right... @LaurV Where exactly ? 
20210827, 09:30  #11 
Romulan Interpreter
"name field"
Jun 2011
Thailand
2^{4}·613 Posts 
See? Told you! It is difficult to find even for yourself (I just searched for "smallest" to find it again)
Here, linked from here, section 23, "Odds and Ends". (I didn't go through all the site yet, but that will come, trust me, hehe). Very good work! Last fiddled with by LaurV on 20210827 at 09:36 
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