One example I came across for two mutually prime numbers is $m(n + 1) + 1$ and $m(n + 1) - n$ for any two $m, n$ natural numbers. Are there any other such procedures for generation of mutually prime numbers? Is there any reference where I can get these forms?
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How about $mn$ and $mn+1$? More simply, $n$ and $n+1$. – Sungjin Kim Aug 09 '16 at 04:33
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Agree.Any two consecutive numbers are relatively prime. But I am looking for non-trivial generation patterns like the one I gave above. – Seetha Rama Raju Sanapala Aug 09 '16 at 13:36
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@SeethaRamaRajuSanapala What does "non-trivial" mean here? I think without a more precise notion of what you're looking for, this question is too broad. – Noah Schweber Aug 11 '16 at 03:49
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I consider two successive numbers as trivial relatively prime numbers. I am looking for generation methods like the one given in the question. – Seetha Rama Raju Sanapala Aug 12 '16 at 07:21