Why 1729 is a Ramanujan number?
1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 – a cube of 10 is 1000 and a cube of 9 is 729; adding the two numbers results in 1729.
What is Srinivasa Ramanujan formula?
For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.
How many formulas are given by Ramanujan?
Chan, and S. –S. Huang [25] found proofs for all of Ramanujan’s approximately 15 formulas employing only results from Ramanu- jan’s notebooks [61] and lost notebook [62]. See also Chapter 15 of our book [10].
How 1729 is a magical number?
1729 is the sum of the cubes of 10 and 9 – cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729. 1729 is also the sum of the cubes of 12 and 1- cube of 12 is 1728 and cube of 1 is 1; adding the two results in 1729.
Why is 729 a special number?
729 is an odd composite number. It is composed of one distinct prime number multiplied by itself five times. It has a total of seven divisors.
How many theorems did Ramanujan write?
With the support of the English number theorist G. H. Hardy, Ramanujan received a scholarship to go to England and study mathematics. He died very young, at the age of 32, leaving behind three notebooks containing almost 3000 theorems, virtually all without proof.
What kind of Education did Ramanujan have?
His story is quite unusual: although he had no formal education inmathematics, he taught himself, and managed to produce many important new results. With the support of the English number theorist G. H. Hardy, Ramanujan received a scholarship to go to England and study mathematics.
Who is the most famous mathematician in India?
Srinivasa Ramanujan is, arguably, the greatest mathematician that India has produced. His story is quite unusual: although he had no formal education inmathematics, he taught himself, and managed to produce many important new results.