Who was Srinivasa Ramanujan?
An Indian mathematician of extraordinary and largely self-taught ability, who produced thousands of results — many previously unknown, some still being proved a century later — with almost no formal training and without providing conventional proofs.
His background. Born in 1887 in southern India, he encountered mathematics largely through a single compendium of results, worked obsessively, and consequently failed his other subjects and lost his scholarship twice. He worked as a clerk in Madras while filling notebooks with original mathematics, in poverty and isolation.
The letter. In 1913 he wrote to the Cambridge mathematician G. H. Hardy, enclosing a list of results without proofs. Hardy's reaction is the famous part: some results he recognised, some he could prove with effort, and others were so strange that — in his own account — they "must be true, because if they were not true, no one would have the imagination to invent them."
What followed. Hardy arranged for him to come to Cambridge, where they collaborated for roughly five years, producing major work on partition theory, the distribution of prime numbers, highly composite numbers, and mock theta functions.
Why his method was unusual. He arrived at results by intuition and pattern, often without the formal proof European mathematics demanded — attributing insights to the goddess Namagiri. Hardy's role was substantially in supplying rigour, and their partnership is frequently described as one of unusually complementary opposites.
The cost. He struggled with the English climate, illness, isolation and the difficulty of maintaining a strict vegetarian diet during wartime rationing. He returned to India in 1919 and died in 1920, aged 32.
The lost notebook. A collection of his final year's work, rediscovered in a Cambridge library in 1976, contained results that opened new areas — and his mock theta functions have since proved relevant to mathematics and physics developed decades later.
The taxicab anecdote — 1729 as the smallest number expressible as the sum of two cubes in two ways — comes from Hardy visiting him in hospital.