
He was born in Erode and grew up in Kumbakonam in southern India (born 1887).
He was mostly self-taught, studying on his own and filling notebooks with ideas rather than following formal courses.
1729 is the smallest number expressible as two different sums of two cubes: 1^3+12^3 and 9^3+10^3 — Ramanujan noticed this quickly.
No. Many formulas were listed without proofs; later mathematicians proved many and found new theories inspired by them.
His notebooks and ideas opened new paths in number theory and continue to inspire math and science research around the world.