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There is a surge of interest today in Wireless Networks both for organizations and individuals. It’s emerging as general consensus that the current generation as well as next generation will have more of wireless connectivity. However, wireless networks have many security problems. Effective Wireless Security policies are required as wireless networks have been found to be relatively easy to break in by the hackers. The various techniques are being used for counteracting security risks. The most prevalent algorithm warranting security is RSA .RSA, a public - key cryptography algorithm is based on the factorization of large prime numbers. Presently the use of 512 bits keys are considered as insecure keys after the successful attack and by implementing the General Number Field Sieve (GNFS) algorithm .It has still got gaps of security that needs to be handled. In this, modifications has been proposed in RSA 512 bit and modified RSA through positive justification of alphabets through appending in the plain text and prime numbers in cipher text through multiplication to make the communication more secure. As the large prime numbers are not easily perishable, this modification will provide reliability over the network .This paper proposes a modification in classical RSA and modified RSA in which random numbers are appended in cipher text leading to improvement in previous results. The

Modifications in RSA through Positive Justification of Random Components