Sequences Of Primes Obtained By The Method Of Concatenation Collected Papers
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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.
Formulas And Polynomials Which Generate Primes And Fermat Pseudoprimes Collected Papers
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :
Formulas And Polynomials Which Generate Primes And Fermat Pseudoprimes 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 with categories.
Part One of this book, “Sequences of primes and conjectures on them”, brings together thirty-two papers regarding sequences of primes, sequences of squares of primes, sequences of certain types of semiprimes, also few types of pairs, triplets and quadruplets of primes and conjectures on all of these sequences. There are also few papers regarding possible methods to obtain large primes or very large numbers with very few prime factors, some of them based on concatenation, some of them on other arithmetic operations. It is also introduced a new notion: “Smarandache-Coman sequences of primes”, defined as “all sequences of primes obtained from the terms of Smarandache sequences using any arithmetical operation” (for instance, the sequence of primes obtained concatenating to the right with the digit one the terms of Smarandache consecutive numbers sequence). Part Two of this book, “Sequences of Fermat pseudoprimes and conjectures on them”, brings together seventeen papers on sequences of Poulet numbers and Carmichael numbers, i.e. the Fermat pseudoprimes to base 2 and the absolute Fermat pseudoprimes, two classes of numbers that fascinated the author for long time. Among these papers there is a list of thirty-six polynomials and formulas that generate sequences of Fermat pseudoprimes. Part Three of this book, “Prime producing quadratic polynomials”, contains three papers which list some already known such polynomials, that generate more than 20, 30 or even 40 primes in a row, and few such polynomials discovered by the author himself (in a review of records in the field of prime generating polynomials, written by Dress and Landreau, two French mathematicians well known for records in this field, review that can be found on the web adress
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 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.
Conjectures On Primes And Fermat Pseudoprimes Many Based On Smarandache Function
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Author : Marius Coman
language : en
Publisher: Infinite Study
Release Date :
Conjectures On Primes And Fermat Pseudoprimes Many Based On Smarandache Function 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 with categories.
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.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2006
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Beginning Xcode
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Author : James Bucanek
language : en
Publisher: John Wiley & Sons
Release Date : 2006-03-20
Beginning Xcode written by James Bucanek and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-20 with Computers categories.
Xcode is a powerful suite of free development tools from Apple Computer that will allow you to create Macintosh applications, plug-ins, web components, applets, and more using languages such as C, C++, Objective-C, Java, and AppleScript. What you will learn from this book: Control window layout to match your development style. Master source file organization. How to access a source control management system, right in the Xcode interface. How to quickly navigate to files, symbols, bookmarks, declarations, and definitions within your project; find reference documents and instantly access API documentation. Harness Xcode’s smart editing features, such as auto-indent, code completion, and text macros. Discover how easy it is to browse class information and create dynamic class diagrams. Get started using Xcode’s Interface Builder and Data Modeling design tools. Learn to customize target build phases, add your own compilers, write your own build processes, and integrate Xcode with other build tools like Ant and gnumake. How to create and integrate unit tests into your projects. Harness the full power of the debugger with smart breakpoints and custom data formatters. Learn how to change variables, and even fix bugs, while your program is still running. Start using Xcode’s suite of performance analysis tools to find problems and accelerate your code. Customize scores of hidden, and often undocumented, Xcode features. Learn how to remap keyboard commands, create your own project and file templates, and even add your own commands to the Xcode menus. Instead of "cookbook" projects specific to a particular language, developer James Bucanek details each Xcode feature with step-by-step instructions that can be applied directly to your projects. Example projects that demonstrate a single concept make it easy to explore each feature.
Reviews In Number Theory 1973 83
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Author : Richard K. Guy
language : en
Publisher:
Release Date : 1984
Reviews In Number Theory 1973 83 written by Richard K. Guy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Reviews In Number Theory 1984 96
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Author :
language : en
Publisher:
Release Date : 1997
Reviews In Number Theory 1984 96 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Number theory categories.