Attack on RSA Cryptosystem

The RSA cryptosystem is most widely used cryptosystem it may be used to provide both secrecy and digital signatures and its security is based on the intractability of the integer factorization. The security of RSA algorithm depends on the ability of the hacker to factorize numbers. New, faster and better methods for factoring numbers are constantly being devised. The Trent best for long numbers is the Number Field Sieve. Although the past work has proven that none of the attacks on RSA cryptosystem were dangerous. Indeed most of the dangers were because of improper use of RSA.