![pseudrandom generator algorithm pseudrandom generator algorithm](https://svijaykoushik.github.io/blog/img/prng-in-js/Middle_square_method.jpg)
For the synthesis of such large primes, instead of depending on deterministic methods, we rely on finding numbers that are prime with a satisfactorily high level of probability. Thus, the primes to be generated need to be 1024 bit to 2048 bit long. The recommended RSA modulus size for most settings is 2048 bits to 4096 bits. The greater the modulus size, the higher is the security level of the RSA system. The setup of an RSA cryptosystem involves the generation of two large primes, say p and q, from which, the RSA modulus is calculated as n = p * q. The security of the RSA algorithm is based on the difficulty of factorizing very large numbers.
#PSEUDRANDOM GENERATOR ALGORITHM HOW TO#
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![pseudrandom generator algorithm pseudrandom generator algorithm](https://www.synopsys.com/content/dam/synopsys/designware-ip/diagrams/q3-dwtb-security-fig1.png)
See the github repository for the referenced implementation. Solution (in Python): note this solution uses the Miller-Rabin primality tester, though any primality test will do. Problem: Design a random number generator that is computationally indistinguishable from a truly random number generator. GATE CS Original Papers and Official Keys The Blum-Blum-Shub Pseudorandom Generator.