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Random numbers play an important and primary role in the use of Cryptography techniques in real time applications. The cryptographic techniques can be easily compromised if the key can be easily guessed. Therefore it is important that the keys are in random and unpredictable in nature. The operating system uses the random numbers to mask passwords and to offer salt and session identifiers. This paper introduces a new software based pseudo random number generation method based on the eye brightness response formula. This function provides a significant change in sensation for minimum required change in signal intensity. The randomness tests are performed to confirm the randomness of the generated random numbers.