Lecture Note
University
California State UniversityCourse
MATH 150B | Calculus IIPages
1
Academic year
2023
Andrew Mathis
Views
0
p {margin: 0; padding: 0;} No Date . Prime Number Theory 1) Prime Numbers : Prime numbers are natural numbers greater than I that have no positif divisors other than I and themself Example include 2.3.5.7.11 and so on. 2) Fundamental Theorem Arithmetic Every positive integer greater than I can be uniquely expressed as a product of prime numbers. This theorem underscores the importance of prime numbers in number theom 3) Prime Factorization The process of breaking down a composite numbers into its prime factors is called prime factorization It's a crucial concept in number theory and has applications in crypthography and computing 4) Distribution of Prime Numbers: The distribution of Prime numbers across the number line is a fascinating area of study 5). twin Primers Twin primes are Prime numbers that are two units apart such as (3.5). (11,13) and so on 6). Coldbach conjecture : This conjecture proposed by the mathematician Christian Goldbach in 1742, suggests that every even in teger greats than 2 can be expressed as the sum of 2 prime numbers.
Prime Number Theory
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