Formulas and Polynomials which Generate Primes and Fermat Pseudoprimes Collected Papers is popular PDF and ePub book, written by Marius Coman in 2024-09-27, it is a fantastic choice for those who relish reading online the Uncategoriezed genre. Let's immerse ourselves in this engaging Uncategoriezed book by exploring the summary and details provided below. Remember, Formulas and Polynomials which Generate Primes and Fermat Pseudoprimes Collected Papers can be Read Online from any device for your convenience.
Formulas and Polynomials which Generate Primes and Fermat Pseudoprimes Collected Papers Book PDF Summary
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
Detail Book of Formulas and Polynomials which Generate Primes and Fermat Pseudoprimes Collected Papers PDF
- Author : Marius Coman
- Release : 27 September 2024
- Publisher : Infinite Study
- ISBN : 9781599734583
- Genre : Uncategoriezed
- Total Page : 115 pages
- Language : English
- PDF File Size : 12,7 Mb
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