A novel representation of a quasi-periodic prime numbers on the complex plan has been investigated. We focus on some quantities characterizing the sum of centres of complex way represented prime numbers. The results indicate that prime numbers can be generated by rooting of real numbers and progression can be decomposed into periodic sequences. The main approach is to root-decompose it into prime numbers. Basically, it is applied to extract hidden periodicities in quasi periodic prime series. The periodicities were arranged in parabolic spirals to show their harmonic pattern. Numerical evidence was provided to confirm that primes can be generated by rooting.