yourskadhir said:The logic that odd composite with least difference will be factored easily and large difference would factored hardly is wrong.
Integer factorization is the process of breaking down a positive integer into its prime factors. This is often used in cryptography and number theory to find the prime factors of large numbers.
Integer factorization is important because it is the basis for many important algorithms in mathematics and computer science. It is used in cryptography to ensure the security of data and in number theory to solve complex mathematical problems.
The current state of research on new ideas about integer factorization is constantly evolving. There are many ongoing studies and experiments being conducted to find more efficient and secure methods for factorizing large integers. Some recent breakthroughs include the development of quantum computing algorithms for factorization.
Yes, integer factorization can be used to break encryption algorithms. In fact, many encryption algorithms rely on the fact that factoring large integers is a difficult problem to solve in order to ensure security. As technology advances and new factorization methods are discovered, encryption algorithms must also evolve to stay secure.
Some potential applications of new ideas about integer factorization include improving the speed and efficiency of encryption algorithms, solving complex mathematical problems in number theory, and advancing our understanding of the structure of prime numbers and their relationships.