#OTD in 1913.
Indian mathematician Srinivasa Ramanujan writes his first letter to G. H. Hardy at Cambridge (whom he knew from studying Orders of Infinity), stating without proof various formulae involving integrals, infinite series, and continued fractions, beginning a long correspondence between the two as well as widespread recognition of Ramanujan's results.
https://en.wikipedia.org/wiki/Srinivasa_Ramanujan
Orders of Infinity at PG:
https://www.gutenberg.org/ebooks/38079