Diophantus of Alexandria

An ancient author whose life is almost unknown but whose problem-solving voice remains vivid. The usual third-century dates are inferred rather than documented. The Arithmetica collects equations seeking particular rational solutions and uses abbreviations for the unknown and its powers, an important step from rhetorical toward symbolic algebra. Six Greek books survive. An Arabic manuscript found in Mashhad in 1968 identifies itself as four books translated by Qusta ibn Luqa, though scholars debate whether they are lost books of Diophantus or part of a commentary tradition. The puzzle yielding an age of 84 comes from a much later Greek anthology, not a verified tomb inscription.

This is a thought experiment about influence, not a verified historical fact.

Instead of a single straight line from Diophantus to Fermat and Wiles, trace how translation, commentary, and new editions generated new questions. Beginners find a rational solution; intermediate learners compare rational and integer constraints; advanced learners move to rational points on curves; experts enter modern Diophantine geometry.