Anyone else expecting a new prime 19-tuplet?

mart_r · 2009-01-13, 19:20

Looks like someone is really out to get the first "big" prime 19-tuplet: http://anthony.d.forbes.googlepages.com/ktuplets.htm

I've been waiting for this ever since these two 18-tuplets were discovered in 2000/2001.

Anyone interested in predictions?
Mine: late January / early February this year.

Also, did anyone attempt to find a 19-tuplet themselves? I did, but I only invested about 150 hours in a calculation that would surely have taken the best part of a decade to actually find one...

henryzz · 2009-01-13, 19:30

what programs have been built to look for large k-tuples

mart_r · 2009-01-13, 19:42

I don't know.
I used my own BASIC-program, pre-sieved m's to 37# or thereabouts, looked for small factors up to 73, then searched values of k*73#+m for further factors up to a given point in a given range for k, proceeded by quick PRP-checks.
I think it's about the best you can do.

Jens K Andersen · 2009-01-14, 01:18

There are two 19-tuplet searches. Joerg Waldvogel & Peter Leikauf who found the first two non-trivial 18-tuplets have been searching a 19-tuplet for years: http://www.sam.math.ethz.ch/~waldvog...clprimes05.pdf.
Jaroslaw Wroblewski started a search 4 December 2008 and has found two 18-tuplets: http://tech.groups.yahoo.com/group/p.../message/19760.

2009-01-13, 19:20	#1
mart_r Dec 2008 you know...around... 2²×11×17 Posts	Anyone else expecting a new prime 19-tuplet? Looks like someone is really out to get the first "big" prime 19-tuplet: http://anthony.d.forbes.googlepages.com/ktuplets.htm I've been waiting for this ever since these two 18-tuplets were discovered in 2000/2001. Anyone interested in predictions? Mine: late January / early February this year. Also, did anyone attempt to find a 19-tuplet themselves? I did, but I only invested about 150 hours in a calculation that would surely have taken the best part of a decade to actually find one...

2009-01-13, 19:42	#3
mart_r Dec 2008 you know...around... 2²·11·17 Posts	I don't know. I used my own BASIC-program, pre-sieved m's to 37# or thereabouts, looked for small factors up to 73, then searched values of k73#+m for further factors up to a given point in a given range for k, proceeded by quick PRP-checks. I think it's about the best you can do. Last fiddled with by mart_r on 2009-01-13 at 19:46*

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2009-01-13, 19:30	#2
henryzz Just call me Henry "David" Sep 2007 Liverpool (GMT/BST) 3²×5×7×19 Posts	what programs have been built to look for large k-tuples

2009-01-14, 01:18	#4
Jens K Andersen Feb 2006 Denmark 2·5·23 Posts	There are two 19-tuplet searches. Joerg Waldvogel & Peter Leikauf who found the first two non-trivial 18-tuplets have been searching a 19-tuplet for years: http://www.sam.math.ethz.ch/~waldvog...clprimes05.pdf. Jaroslaw Wroblewski started a search 4 December 2008 and has found two 18-tuplets: http://tech.groups.yahoo.com/group/p.../message/19760.