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Why are prime numbers more useful for the creation of codes than composite numbers?
Wiki User
∙ 9y ago
Actually both are important. Public encryption is based on the product (and so a composite) of two very large prime numbers.
Wiki User
∙ 9y ago
Wiki User
∙ 9y agoPrime numbers cannot be broken further into factors, composites can. That is why primes are more used as codes than composites.
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Why do you think prime numbers would be more useful for the creation of codes than composite numbers?
Actually it is composite numbers that are used - products of two very large primes.
Why are prime numbers more useful than composite numbers in cryptography?
This question is based on a misunderstanding. Most cryptography is based on numbers that are products of two very large prime numbers. Being the product of two primes means that these numbers are composite - not prime!
Why d you think prime numbers would be more useful for the creation of codes than composite numbers?
You are probably thinking of the RSA scheme, which requires the use of two large prime numbers. These numbers must be prime because calculations used to find the encrypting and decrypting key depends on the phi(N).N is the product of the two primes p and q.phi(N) is the number of positive integers m < N such that the greatest common divisor of m and n is 1.It has been proven that phi(N)= (p-1)(q-1).However, if p and q are not prime, then this equation is not true.In short, p and q keeps the prime factors large (for security) and N as small as possible (for simplicity).
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