This paper reconstructs a Sumerian algorithm that generates integer powers through a structured sequence of additive steps. Analysis of the Old Babylonian tables shows that the entries arise from a deterministic accumulation process whose increments follow a consistent internal pattern. The method provides an additive pathway to exponential growth and aligns with known computational practices of the period. The reconstruction offers a mathematically coherent explanation for the organization and purpose of the Sumerian power tables.
Donald Schroeder (Sun,) studied this question.