Elimination of candidate primes in 2310 (11#) by sieving with 11


This is just to show the patterns with numbers organized in two different formats for sieving in the next primorial.

First with 0-209, etc in columns:







And now in normal, western, wrapping format with 11 numbers per line:







I don’t have a lot to say yet. Still mulling over the patterns. Note the upper box in the second set of images encloses 11 x 11 so all remaining candidate primes in that zone are actual primes (except 1, which is not a prime by convention only), as are 2, 3, 5, 7 and 11, which have been eliminated for consideration as candidate primes in subsequent repetitions of the primorial but are obviously prime themselves.

More to follow later…

About petequinn

I'm a Canadian geotechnical engineer specializing in the study of landslides. I started this page to discuss some mathematical topics that interest me, initially this involved mostly prime numbers, but more recently I've diverted focus back to a number of topics of interest in geotechnique, geographic information systems and risk. I completed undergraduate training in engineering physics at Royal Military College (Kingston, Ontario), did a masters degree in civil (geotechnical) engineering at University of British Columbia (Vancouver), and doctorate in geological engineering at Queen's University (Kingston). I was a military engineer for several years at the beginning of my career, and did design and construction work across Canada and abroad. I've worked a few years for the federal government managing large environmental clean up projects in Canada's arctic, and I've worked across Canada, on both coasts and in the middle, as a consulting geotechnical engineer. My work has taken me everywhere in Canada's north, to most major Canadian cities and many small Canadian towns, and to Alaska, Chile, Bermuda, the Caribbean, Germany, Norway, Sweden, Bosnia, and Croatia. My main "hobby" is competitive distance running, which I may write about in future.
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