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**This book is based on an important peer-reviewed research paper published in the relevant mathematical journal and also contains novel Fic-Fac Ratio which is applied to the 2020 Coronavirus Pandemic and COVID-19 drugs and vaccines development.** From the concocted idiom "Complexity arising from Life at the Edge of Chaos-Fractal" with manifested Chaos and Fractal phenomena, we depict extraordinary exposure to Living Things versus Nonliving Things and Algebraic Number theory versus Analytic Number theory which will be glimpsed from providing rigorous proofs on Riemann hypothesis, Polignac's and Twin prime conjectures. This is essentially achieved when we explore the significance of Chaos and Fractals phenomena manifested by Incompletely Predictable entities.