Two Hundred Conjectures And One Hundred And Fifty Open Problems On Fermat Pseudoprimes Collected Papers
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Two Hundred And Thirteen Conjectures On Primes
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date : 2015-02-15
Two Hundred And Thirteen Conjectures On Primes written by Marius Coman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-15 with categories.
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.
Sequences Of Integers Conjectures And New Arithmetical Tools Collected Papers
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date : 2015-01-01
Sequences Of Integers Conjectures And New Arithmetical Tools Collected Papers written by Marius Coman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-01 with Mathematics categories.
Part One of this book of collected papers brings together papers regarding conjectures on primes, twin primes, squares of primes, semiprimes, different types of pairs of primes, recurrent sequences, other sequences of integers related to primes created through concatenation and in other ways. Part Two brings together several articles presenting the notions of c-primes, m-primes, c-composites and m-composites (c/m integers), also the notions of g-primes, s-primes, g-composites and s-composites (g/s integers) and show some of the applications of these notions. Part Three presents the notions of “Mar constants” and “Smarandache-Coman constants”, useful to highlight the periodicity of some infinite sequences of positive integers (sequences of squares, cubes, triangualar numbers) , respectively in the analysis of Smarandache concatenated sequences. Part Four presents the notion of Smarandache-Coman sequences, id est the sequences of primes formed through different arithmetical operations on the terms of Smarandache concatenated sequences. Part Five presents the notion of Smarandache-Coman function, a function based on the Smarandache function which seems to be particularly interesting: beside other notable characteristics, it seems to have as values all the prime numbers and, more than that, they seem to appear, leaving aside the non-prime values, in natural order. This book of collected papers seeks to expand the knowledge on some well known classes of numbers and also to define new classes of primes or classes of integers directly related to primes.
Two Hundred Conjectures And One Hundred And Fifty Open Problems On Fermat Pseudoprimes Collected Papers
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Author : MARIUS COMAN.
language : en
Publisher:
Release Date :
Two Hundred Conjectures And One Hundred And Fifty Open Problems On Fermat Pseudoprimes Collected Papers written by MARIUS COMAN. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Sequences Of Primes Obtained By The Method Of Concatenation Collected Papers
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date : 2016
Sequences Of Primes Obtained By The Method Of Concatenation Collected Papers written by Marius Coman and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
The purpose of this book is to show that the method of concatenation can be a powerful tool in number theory and, in particular, in obtaining possible infinite sequences of primes. Part One of this book, “Primes in Smarandache concatenated sequences and Smarandache-Coman sequences of primes” , contains 12 papers on various sequences of primes that are distinguished among the terms of the well known Smarandache concatenated sequences. The sequences presented in this part are related to concatenation in three different ways: the sequence is obtained by the method of concatenation but the operation applied on its terms is some other arithmetical operation; the sequence is not obtained by concatenation but the operation applied on its terms is concatenation or both the sequence and the operation applied on its terms (in order to find sequences of primes) are using the method of concatenation. Part Two of this book, “Sequences of primes obtained by the method of concatenation” brings together 51 articles which aim, using the mentioned method, to highlight sequences of numbers which are rich in primes or are liable to lead to large primes. The method of concatenation is applied to different classes of numbers, e.g. Poulet numbers, twin primes, reversible primes, triangular numbers, repdigits, factorial numbers, fibonorial numbers, primordial numbers in order to obtain sequences of primes.
Notes On Fermat S Last Theorem
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Author : A. J. Van Der Poorten
language : en
Publisher: Wiley-Interscience
Release Date : 1996-02-16
Notes On Fermat S Last Theorem written by A. J. Van Der Poorten and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-16 with Mathematics categories.
This book offers the first serious treatment of Fermat's Last Theorem since Wiles's proof. It is based on a series of lectures given by the author to celebrate Wiles's achievement, with each chapter explaining a separate area of number theory as it pertains to Fermat's Last Theorem. Together, they provide a concise history of the theorem as well as a brief discussion of Wiles's proof and its implications. Requiring little more than one year of university mathematics and some interest in formulas, this overview provides many useful tips and cites numerous references for those who desire more mathematical detail.