Three conjectures on extended twin primes and the existence of isoboolean and singular primes inspired by relativistic quantum computing

Collatz Conjecture Redefinition on Prime Numbers

“…A previous set of the employed concepts and definitions is necessary before developing the main idea of the present study. The readers can peruse our previous papers on the Collatz conjecture [1] [2] [3] and our studies about some characteristic features of prime numbers [4] [5]. These can provide the previous main definitions and some mathematical background.…”

“…The present paper follows the published effort of the author to understand some aspects of the Collatz conjecture [1] [2] [3] and several characteristics of prime numbers [4] [5]. Collatz conjecture has been studied from many points of view and still is an active scientific subject; see, for example, references [6]- [28].…”