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PsychonautQQ
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Homework Statement
My textbook says any integer greater than 1 is a product of primes. Wouldn't that mean that there are no prime numbers? What is the product of primes that create the integer 23?
PsychonautQQ said:Homework Statement
My textbook says any integer greater than 1 is a product of primes. Wouldn't that mean that there are no prime numbers? What is the product of primes that create the integer 23?
Homework Equations
The Attempt at a Solution
PsychonautQQ said:any integer greater than 1 is a product of primes
Prime numbers are positive integers that are divisible only by 1 and itself. They have exactly two factors and cannot be divided evenly by any other number.
There are infinitely many prime numbers. However, they become less frequent as the numbers get larger.
Some of the basic properties of prime numbers include: they are always greater than 1, they have no factors other than 1 and itself, and they are indivisible (except by 1 and itself).
The Sieve of Eratosthenes is a method for finding all prime numbers up to a given number. It involves creating a list of all numbers from 2 to the given number, and then crossing out all multiples of each number until only the prime numbers remain.
Prime numbers are used in cryptography to create secure encryption algorithms, such as the popular RSA algorithm. This is because prime numbers are difficult to factor, making it hard for hackers to break the code and access sensitive information.