Question

Write a 1 to 2 page paper explaining the need for large prime numbers in the cybersecurity field.

Answer 1

When two persons wish to communicate secretely with each other that too through online then in that case they require an encryption system. Large prime numbers re mainly used in the cryptosystem too. These prime numbers mainly uses in the RSA algorithms. If the products developed based on the prime numbers it is difficult to crack by any hacker. Multiples of prime numbers are difficult to factorize. If the prime numbers are very large it is even very difficult. Working with exact fractions on a computer is becomes infeasable. In every operation they divide by a large number and take the remainder. The prime numbers are used in public key cryptography. In this we have public and private key. Multiplication is computationally easy whereas factorization is difficult that's where it provides more security for private and public key. It has a special properties like they form a field, set of element and the elements have properties and hence do not qualify for cryptography. We can say prime numbers are most fundamental building block of all the numbers. The prime numbers are commonly referred to as atoms of the numerical realm. The process of reducing a composite number to a product of prime numbers is known as prime factorization. Generally banks are konown to use public keys that are 617 digits long to secure your private transactions.