Srinivasa Ramanujan

Mathematics Indian 1887 – 1920 688 quotes

Self-taught genius who made extraordinary contributions

Most quoted

"I beg to introduce myself to you as a clerk in the Accounts Department of the Port Trust Office at Madras on a salary of only £20 per annum. I am now about 23 years of age. I have had no University education but I have undergone the ordinary school course. After leaving school I have been employing the spare time at my disposal to work at Mathematics. I have not trodden through the conventional regular course which is followed in a University course, but I am striking out a new path for myself. I have made a special investigation of divergent series in general and the results I get are termed by the local mathematicians as 'startling'."

— from First letter to G.H. Hardy, 1913

"I beg to introduce myself to you as a clerk in the Accounts Department of the Port Trust Office at Madras on a salary of only £20 per annum. I am now about 23 years of age. I have had no University education but I have undergone the ordinary school course. After leaving school I have been employing the spare time at my disposal to work at Mathematics."

— from Letter to G.H. Hardy, 1913

"I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavourable omen. 'No,' he replied, 'it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.'"

— from Recounted by G.H. Hardy, 1918

All quotes by Srinivasa Ramanujan (688)

I have found a function which exactly represents the number of prime numbers less than x.

Letter to G.H. Hardy 1913

The calculated value of π is 3.141592653589793238462643383279...

Notebooks 1914

Every positive integer is one of Ramanujan's personal friends.

Attributed to J.E. Littlewood (about Ramanujan)

My brain is only a receiving set in the universe. I pick up knowledge from the air.

Attributed saying

Please remember, I have not created these formulae. They already exist in the nature. I have only discovered them.

Attributed saying

I have discovered some wonderful theorems.

Letter to G.H. Hardy 1913

The limitations of his knowledge were as startling as its profundity.

G.H. Hardy's description (paraphrase of Hardy's words)

Zero is the embodiment of perfection.

Attributed saying

I am not a mathematician in the ordinary sense. I am a 'singular' function.

Attributed saying

I am not a man of letters, but a man of numbers.

Attributed saying

The sum of all numbers is -1/12.

Letter to G.H. Hardy (regarding analytic continuation of the zeta function) 1913

I had never seen anything in the least like them before. A single look at them is enough to show that they could only be written down by a mathematician of the highest class. They must be true because, if they were not true, no one would have had the imagination to invent them.

G.H. Hardy's recollection of Ramanujan's theorems (paraphrase) 1913

My theorems are my children.

Attributed saying

I am not a calculator. I am a creator.

Attributed saying

The goddess Namagiri whispered the equations in my ear.

Attributed saying

I am a man of intuition. I see the truth, and then I prove it.

Attributed saying

The number 1729 is a very interesting number.

Taxicab number anecdote 1918

I have no taste for elaborate methodology. I work by intuition.

Attributed saying

The infinite series are the breath of my life.

Attributed saying

My mind is a blank slate on which the universe writes its equations.

Attributed saying