So a formula for calculating partition numbers was needed. Ramanujan’s approximate formula, developed in 1918, helped him spot that numbers ending in 4 or 9 have a partition number divisible by ...

Ramanujan brings life to the myth of the self-taught ... They took functions that counted partitions and used them to build a special formula. When you plug any prime number into this equation, it ...

Ono came upon one of Ramanujan's original notebooks. Looking through the illegible scrawl, he noticed an obscure numerical formula that seemed to have no connection to partitions, but was ...

His partition function transformed number theory ... with Hardy sparked a revolution in mathematics. The Hardy — Ramanujan formula on the distribution of prime numbers, along with their other ...

In 1914, Ramanujan discovered a formula for infinite series for pi ... invented the circle method which gave the first approximations of the partition of numbers beyond 200.