Advancements of Information Technology have transformed our society into a digital society. Thus, the role of data in today’s life may easily be realized. To enhance the data security and privacy, several approaches were presented by researchers and practitioners. In our studies we found that the enhancements of several data security and privacy schemes are largely depended on Primes. Besides, security issues (Gonzalez et al., 2011, Wang et al., 2010; and Tedmori, 2019), Prime numbers (Ingham, 1937; Mills, 1947; and Kuipers, 1950) also play a significant role in several engineering and scientific application(s) (e.g., stress testing (Mitra et al., 2013)) due to its unique primality property (i.e., any natural number ‘’ is only divisible by only ‘’ and the number ‘’ itself). Several studies on prime numbers were presented by researchers over time. A brief description on prime numbers may further be found at “http://mathworld.wolfram.com”). The neighborhood range for said neighborhood scenarios is presented in following Figure 1.
Illustration for Moore neighborhood and von Neumann scenarios at two-dimensional CA configuration