On the Smarandache function and the Fermat number PDF Download
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Author: Jinrui Wang
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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Book Description
For any positive integer n, the famous F.Smarandache function S(n) is defined as the smallest positive integer m such that n | m!.
Author: Jinrui Wang
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 4
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Book Description
For any positive integer n, the famous F.Smarandache function S(n) is defined as the smallest positive integer m such that n | m!.
Author: Henry Ibstedt
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 8
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Book Description
This study originates from questions posed on alternating iterations involving the pseudo-Smarandache function Z(n) and the Euler function. Interesting questions have been resolved through the surprising involvement of Fermat numbers
Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599732769
Category :
Languages : en
Pages : 85
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Book Description
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 that branch of mathematics that you keep it in your soul and in your mind, not in your suitcase or laptop. 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 Sophie Germain primes, Poulet numbers, Carmichael numbers ets. 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 papers on few well known and less known types of primes.
Author: Huaning Liu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
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Book Description
In this paper we give a survey on recent results on Smarandache function.
Author: Charles Ashbacher
Publisher: Infinite Study
ISBN: 1879585499
Category : Smarandache function
Languages : en
Pages : 62
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Book Description
Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599732521
Category :
Languages : en
Pages : 136
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Book Description
About the works of Florentin Smarandache have been written a lot of books (he himself wrote dozens of books and articles regarding math, physics, literature, philosophy). Being a globally recognized personality in both mathematics (there are countless functions and concepts that bear his name) and literature, it is natural that the volume of writings about his research is huge. What we try to do with this encyclopedia is to gather together as much as we can both from Smarandache’s mathematical work and the works of many mathematicians around the world inspired by the Smarandache notions. We structured this book using numbered Definitions, Theorems, Conjectures, Notes and Comments, in order to facilitate an easier reading but also to facilitate references to a specific paragraph. We divided the Bibliography in two parts, Writings by Florentin Smarandache (indexed by the name of books and articles) and Writings on Smarandache notions (indexed by the name of authors). We treated, in this book, about 130 Smarandache type sequences, about 50 Smarandache type functions and many solved or open problems of number theory. We also have, at the end of this book, a proposal for a new Smarandache type notion, id est the concept of “a set of Smarandache-Coman divisors of order k of a composite positive integer n with m prime factors”, notion that seems to have promising applications, at a first glance at least in the study of absolute and relative Fermat pseudoprimes, Carmichael numbers and Poulet numbers. This encyclopedia is both for researchers that will have on hand a tool that will help them “navigate” in the universe of Smarandache type notions and for young math enthusiasts: many of them will be attached by this wonderful branch of mathematics, number theory, reading the works of Florentin Smarandache.
Author: V. Seleacu
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 158
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Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: Charles Ashbacher
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 368
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Book Description
A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.
Author: Marius Coman
Publisher: Infinite Study
ISBN: 1599733269
Category :
Languages : en
Pages : 148
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Book Description
In two of my previous published books, “Two hundred conjectures and one hundred and fifty open problems on Fermat pseudoprimes”, respectively “Conjectures on primes and Fermat pseudoprimes, many based on Smarandache function”, I already expressed my passion for integer numbers, especially for primes and Fermat pseudoprimes, fascinating numbers that seem to be a little bit more willing to let themselves ordered and understood than the prime numbers.
Author: Constantin Dumitrescu
Publisher: Infinite Study
ISBN: 1879585472
Category : Mathematics
Languages : en
Pages : 137
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Book Description
