I’ve written a lot about patterns in the distribution of non-primes and possible primes, twin and k-tuples within primorials, and have tried to suggest some possible avenues for proving the infinitude of prime twins and k-tuples. The stumbling block so far has been that, while we can develop accurate formulae defining the numbers of non-primes, and candidate primes, twins and k-tuples with primorials after rounds of sieving by successive primes, I haven’t yet found anything explaining or predicting the POSITION or SPACING of these non-primes and possible primes/twins/k-tuples.

I think I’ve got this problem figured out and will elaborate over the course of a couple of posts after I finish exploring the idea more fully and have something visual to present.

The basic idea, however, is very simple, as it should be. š More to follow…

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## 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.

I have way to find out any prime number but it is possible up to 15 digit only due to limitation of computer.Can u help me in this regards.so that i can go for larger prime numbers.

Hello Satish, I’m not sure I can help you, as I have great difficulty understanding your written English. However, if you can give me a clear explanation of what you would like help with, I can try to help.

As far as helping with a book is concerned, I don’t think I’m the right person to help you. First, I have no credentials in mathematics, and second, I don’t think I would be able to review your writing since we do not have the same mother tongue.

I’m happy to try to answer simple, direct questions, if I can, if they are phrased in a way that I can understand them.

Good luck!