Sequences Of Integers Conjectures And New Arithmetical Tools Collected Papers
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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.
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.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
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 2004 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.
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 Mathematical reviews categories.
Electrical Electronics Abstracts
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Author :
language : en
Publisher:
Release Date : 1989
Electrical Electronics Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Electrical engineering categories.
Dissertation Abstracts International
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Author :
language : en
Publisher:
Release Date : 2004
Dissertation Abstracts International written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Dissertations, Academic categories.
The Collected Papers Of Sarvadaman Chowla 1925 1935
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Author : Sarvadaman Chowla
language : en
Publisher:
Release Date : 1999
The Collected Papers Of Sarvadaman Chowla 1925 1935 written by Sarvadaman Chowla and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Number theory categories.
Management Services
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Author :
language : en
Publisher:
Release Date : 1965
Management Services written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Industrial management categories.
Sequences Of Numbers Involved In Unsolved Problems
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Sequences Of Numbers Involved In Unsolved Problems written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. The book contains definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, mobile periodicals, functions, tables, prime/square/factorial bases, generalized factorials, generalized palindromes, etc. ).