Συνεχή κλάσματα

• Κύριοι συγγραφείς: Πουλάκης, Δημήτριος, Poulakis, Dimitrios
• Μορφή: 7
• Γλώσσα: Greek
• Έκδοση: 2016
• Θέματα: ΥΠΟΛΟΓΙΣΤΙΚΗ ΘΕΩΡΙΑ ΑΡΙΘΜΩΝ; ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ; ΘΕΜΕΛΙΩΔΕΣ ΘΕΩΡΗΜΑ ΤΗΣ ΑΡΙΘΜΗΤΙΚΗΣ; Computational Number Theory; Prime Numbers; Fundamental Theorem Of Arithmetics

Chapter 3 studies prime numbers and theirs properties. We give the proof of the Fundamental Theorem of Arithmetic, which states that every integer > 1 can be written uniquely as the product of prime numbers, and theirs applications in the divisibility of integers and especially in gcd and lcm. Next, we study some classical results on the distibution of primes, as Chebyshev theorem, three theorems of Mertens and Bertrand's postulate. We also give a result on the computation of the sequence of primes which is discoverd recently and their roots go back to Plato. Finally, we deal with some special families of primes.