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A Geometric Approach to Prime Number Prediction

Abstract This paper presents a novel geometric method for analyzing and predicting prime number gaps using spiral-positioned circles and center-to-center distance measurements. The method, termed the Spiral Prime Method, positions prime circles (with diameters equal to prime values) along a logarithmic spiral and uses combinations of red line measurements (center-to-center distances) to predict the next prime in a sequence. Validation testing on prime sequences up to 47 demonstrates a 92.9% success rate in predicting prime gaps using linear combinations of previously observed red line distances, suggesting a deep geometric relationship underlying prime gap distribution.