More on the primorial-based place value number system

This post serves to better illustrate the potential use of the number system I’ve proposed, using relatively small numbers. The following three tables illustrate the successive removal of candidate primes within successive primorials, listing what candidates are removed by each round of sieving up to 11, and then also listing the remaining candidate primes for the first few primorials, 2#, 3#, 5# and 7#.

I will continue to look for patterns within these numbers.

Table 1. Candidate primes removed within the first few primorials, in primorial place value number system notation

Table 2. Candidate primes removed by, and remaining after, sieving to 7 within 2#, 3#, 5# and 7#

Table 3. Candidate primes removed within 11# after sieving by 11


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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