  A novel representation of a quasi-periodic modified von Mangoldt function
L(n) on prime numbers and its decomposition into Fourier series has been
investigated. We focus on some particular quantities characterizing the
modified von Mangoldt function. The results indicate that prime number
progression can be decomposed into periodic sequences. The main approach is to
decompose it into sin or cosine function. Basically, it is applied to extract
hidden periodicities in seemingly quasi periodic prime function. Numerical
evidences were provided to confirm the periodic distribution of primes.
