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The Hardy-Ramanujan number, also known as the smallest "taxicab number," is 1729. It is famous for being the smallest number expressible as the sum of two cubes in two different ways: (1729 = 1^3 + 12^3) and (1729 = 9^3 + 10^3). The number gained notoriety from a story involving mathematicians G.H. Hardy and Srinivasa Ramanujan, highlighting its significance in number theory.
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Which number is known as Ramanujan number?
The Hardy-Ramanujan Number is 1729.
What was srinivasa ramanujan's most famous discovery?
hardy ramanujan number smallest one is 172950=1cube + 12cube=99cube + 1065cube.
Why 1729 is a Ramanujan number?
As the speciality of this number i.e., smallest number that can be shown as sum of two positive cubes in two ways was found by Ramanujam in the presence of Hardy.so it is also called hardy-ramanujan number.
What is the contribution of Ramanujan to math field?
Srinivasa Ramanujan made significant contributions to various areas of mathematics, including number theory, continued fractions, and infinite series. His work on partition functions and modular forms has had a lasting impact, influencing both pure and applied mathematics. Ramanujan’s intuitive approach and theorems, such as the famous Ramanujan-Hardy number 1729, exemplify his unique insights and creativity in mathematical thought. His collaboration with mathematician G.H. Hardy also helped bridge Eastern and Western mathematical traditions.
What are the achievements done by ramanujan?
Srinivasa Ramanujan was a pioneering Indian mathematician known for his groundbreaking contributions to number theory, continued fractions, and infinite series. He independently developed theorems, such as the Ramanujan Prime and the Ramanujan-Hardy number (1729), and introduced the concept of mock theta functions. His work laid the foundation for many areas of mathematics, influencing fields like partition theory and q-series. Despite limited formal training, Ramanujan's insights have had a lasting impact, inspiring mathematicians worldwide.
Which number is known as Ramanujan number?
The Hardy-Ramanujan Number is 1729.
Which is the smallest hardy ramanujan number?
1729
What are ramanujans numbers?
ramanujan's pet number is 1729(one thousand seven hundred twenty-nine)
What was srinivasa ramanujan's most famous discovery?
hardy ramanujan number smallest one is 172950=1cube + 12cube=99cube + 1065cube.
How hardy discovered ramanujan?
C.H.Hardy was a British mathematician. Srinivasa Ramanujan was an Indian mathematician. Hardy visited Ramanujan in hospital. In Hardy's words "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 unfavorable 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." Hence the Hardy-Ramanjuran number which is 1729.
Who are the teachers of srinivas Ramanujan?
HARDY
Why 1729 is a Ramanujan number?
As the speciality of this number i.e., smallest number that can be shown as sum of two positive cubes in two ways was found by Ramanujam in the presence of Hardy.so it is also called hardy-ramanujan number.
Which number is ramanujan's number?
1729
What were inventions of ramanujan?
Ramanujan's number - 1729,which is the sum of squares of three numbers
What is Ramanujan's number?
his number1729
Who was ramanujan?
He was one of the India's greatest mathematical geniuses .He introduced the theory of ramanujan's number(1729).
Where did ramanujan die?
Srinivasa Ramanujan, who was said by GH Hardy to have talent "in the same league as legendary mathematicians such as Gauss, Euler, Cauchy, Newton and Archimedes", passed away at the age of 32 in Chetput, Madras, India.
