Data Encryption and Decryption using Modified RSA Cryptography Based on Multiple Public Keys and ‘n’ Prime Number

Now a day, we are having a great dependence on computer and network for communication. The security of computer communication is related to the whole world and everybody. Cryptography is the art and science of achieving security by encoding message to make them non-readable to secure data or information transmits over the network. In this paper introduced modified RSA approach based on multiple public keys and n prime number.RSA algorithm is mostly used in the popular implementation of public key cryptography. In public key cryptography two different keys are generated in RSA one keys is used in encryption data and other corresponding key used for decryption. No other key decrypt the data. Even if it is efficient algorithm it is vulnerable to other person. With the help of all brute force attacks can obtain private keys. In this research paper new approach we used n prime number and multiple public keys. Which is not easily crack able .In here implementation RSA algorithm .Using some mathematical logic integer factorization and discrete logarithm problem.