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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.
What are ramanujans numbers?
ramanujan's pet number is 1729(one thousand seven hundred twenty-nine)
What is the ramanujan father name?
Ramanujan father name K. Srinivasa Iyengar
What is special about the number 1729?
The number 1729 is known by the name the 'Hardy-Ramunajan number'. The famous British mathematician G. H. Hardy was quoted as saying '"I remember once going to see him when he was ill atPutney. 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."'
Why 1729 is called Ramanujan Number?
ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.
What was srinivasa ramanujan's most famous discovery?
hardy ramanujan number smallest one is 172950=1cube + 12cube=99cube + 1065cube.
What is hardy ramanujan number?
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.
Which number is known as Ramanujan number?
The Hardy-Ramanujan Number is 1729.
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.
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.
What are ramanujans numbers?
ramanujan's pet number is 1729(one thousand seven hundred twenty-nine)
Who are the teachers of srinivas Ramanujan?
HARDY
What is interesting about Hardy-Ramanujan number?
1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.
What are the Hardy-Ramanujan numbers?
Hardy-Ramanujan numbers, also known as taxicab numbers, refer to the smallest numbers expressible as the sum of two cubes in multiple ways. The most famous example is 1729, which can be represented as (1^3 + 12^3) and (9^3 + 10^3). The concept highlights the deep connections between number theory and mathematical curiosity, famously illustrated in a conversation between mathematicians G.H. Hardy and Srinivasa Ramanujan. These numbers showcase the richness and complexity of integer partitions and representations.
What is the special of the Ramanujan Number?
Ramanujan number is the smallest natural number that can be can be expressed as a sum of two perfect cubes in two different ways:- 123 + 13 = 1728+1 =1729 103 + 93 = 1000+729 =1729
What ramanujan invented?
Srinivasa Ramanujan was a pioneering Indian mathematician known for his groundbreaking contributions to number theory, infinite series, and continued fractions. He discovered many new mathematical theorems and formulas, including the Ramanujan prime, the Ramanujan-Hardy number (1729), and his work on modular forms. His unique intuition for numbers led to the development of the Ramanujan theta function and the Ramanujan conjecture, which has influenced various areas of mathematics and theoretical physics. His innovative ideas continue to inspire mathematicians today.
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.
