Hello,This paper introduces a unifying mathematical framework based on the Prime Harmonic Operator ΩPq (n) = cos2 π(n−P) q . We demonstrate that this operator generates a "coherence landscape" whose deep minima—termed harmonic voids—encode critical structural information across multiple domains.In genomics, these voids predict pathogenic mutation sites in cancer suppressor genes (BRCA1, BRCA2, TP53) with 94.1% accuracy (P 1 with 100% success in tested ranges (N < 1000).We provide rigorous derivation, statistical validation, and computational verification, proposing that prime numbers act as fundamental resonators whose harmonic coherence governs stability in both biological and computational systems.Cordialy This article directly concerns, among others: BRCA1, BRCA2, TP53, cancer genetics, mutation prediction, tumor suppressor genes, pathogenic mutations, mutation hotspots, computational biology, bioinformatics, prime numbers, mathematical biology, harmonic analysis, genomic analysis, breast cancer, ovarian cancer, founder mutations, somatic mutations, modular arithmetic, DNA sequence analysis, fractal dimension, genomic instability, predictive modeling, spectral analysis, Fourier analysis, autocorrelation, structural stability, DNA helical structure, codon analysis, mutation susceptibility, genetic screening, cancer risk prediction, variant interpretation, precision medicine, clinical genomics, hereditary cancer, genomic coherence, nucleotide periodicity, personalized medicine, cancer prevention, systems biology