Authors: Marius Coman
It is always difficult to talk about arithmetic, because those who do not know what is about, nor do they understand in few sentences, no matter how inspired these might be, and those who know what is about, do no need to be told what is about.Arithmetic is the branch of mathematics that you keep it in you’re soul and you’re mind not in you’re suitcase or laptop. It also will not help you to gain money (unless you will prove Fermat’s last theorem without using complex numbers or you will prove Beal’s conjecture which is unlikely) but it will give you something more important than that. Part One of this book of collected papers aims to show new applications of Smarandache function in the study of some well known classes of numbers, like prime numbers, Poulet numbers, Carmichael numbers, Sophie Germain primes etc. Beside the well known notions of number theory, we defined in these papers the following new concepts: “Smarandache-Coman divisors of order k of a composite integer n with m prime factors”, “Smarandache-Coman congruence on primes”, “Smarandache-Germain primes”, “Coman-Smarandache criterion for primality”, “Smarandache-Korselt criterion”, “Smarandache-Coman constants”. Part Two of this book brings together several articles regarding primes, submitted by the author to the preprint scientific database Vixra.
Comments: 82 Pages.
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