Adobe PDF
(1.16 MB)
| Title Details: | |
|
Divisibility and prime numbers |
|
| Authors: |
Antoniadis, Ioannis Kontogeorgis, Aristeidis |
| Reviewer: |
Theochari Apostolidou, Theodora |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > NUMBER THEORY |
| Keywords: |
Prime Numbers
Diophantine Equations Congruences Quadratic Residues Law Of Quadratic Reciprocity Primitive Roots Indexes Primality Testing Factorization Continued Fractions Pell Equation Quadratic Forms Quadratic Number Fields Coding Theory Integral Basis Discriminant Fundamental Unit Decomposition Law Class Number Pseudoprimes Carmichael Numbers Jacobi Symbol L-series Legendre Symbol Fibonacci And Lucas Numbers Cryptography |
| Description: | |
| Abstract: |
The set of integers and the minimum principle for natural numbers.
Divisibility, prime numbers. Euclid's theorem, Eratosthenes sieve, twin primes, Goldbach conjecture, prime numbers in arithmetic progressions, Green-Tao theorem, Bertrant principle, prime number theorem. Greatest common divisor, least common multiple. Euclid algorithms, decomposition of integers in primes. |
| Linguistic Editors: |
Kalliaras, Dimitris |
| Type: |
Chapter |
| Creation Date: | 08-10-2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Handle | http://hdl.handle.net/11419/108 |
| Bibliographic Reference: | Antoniadis, I., & Kontogeorgis, A. (2015). Divisibility and prime numbers [Chapter]. In Antoniadis, I., & Kontogeorgis, A. 2015. Number Theory and Applications [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/108 |
| Language: |
Greek |
| Is Part of: |
Number Theory and Applications |
| Publication Origin: |
Kallipos, Open Academic Editions |