The cryptographic system aims to facilitate the secure exchange of information among the intended users and also avoid unauthorized access. It is critical task to generate cryptographic keys to ensure the security of encrypted information. The widely adopted RSA algorithm relies on prime numbers for public key cryptography. Aim of this paper is to augment the existing RSA key generation process by incorporating neural network model. In recent years use of neural networks has shown great potential to improve the effectiveness and security of cryptographic systems. This paper is based on deep learning based neural networks model, which are trained on large amount of data to learn patterns to optimize and improve the level of unpredictability in the key generation process to enhance security of the RSA. This work also conduct a comprehensive analysis of the key space, entropy and performance evaluation to validate the effectiveness in generating secure keys.