Formulas And Polynomials Which Generate Primes And Fermat Pseudoprimes Collected Papers
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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 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.
Excursions In Calculus
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Author : Robert M. Young
language : en
Publisher: Cambridge University Press
Release Date : 1992
Excursions In Calculus written by Robert M. Young and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.
Abstracts Of Papers Presented To The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1995
Abstracts Of Papers Presented To The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2003
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 2003 with Mathematics categories.
Reviews In Number Theory 1984 96
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Author :
language : en
Publisher: American Mathematical Society(RI)
Release Date : 1997
Reviews In Number Theory 1984 96 written by and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
These six volumes include approximately 20,000 reviews of items in number theory that appeared in Mathematical Reviews between 1984 and 1996. This is the third such set of volumes in number theory. The first was edited by W.J. LeVeque and included reviews from 1940-1972; the second was edited by R.K. Guy and appeared in 1984.
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.
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.
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.
13 Lectures On Fermat S Last Theorem
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Author : Paulo Ribenboim
language : en
Publisher:
Release Date : 1979
13 Lectures On Fermat S Last Theorem written by Paulo Ribenboim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.