It is 1729. Discovered by mathemagicianmathemagician (plural mathemagicians) (informal) One whose mathematical skills are so remarkable as to resemble magic.https://en.wiktionary.org › wiki › mathemagicianSrinivas RamanujanRamanuja or Ramanujan or Ramanujam is a Tamil and Malayalam name literally meaning 'the younger brother of Rama' mostly referring to Lakshmana.https://en.wikipedia.org › wiki › Ramanujan_(name)
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 - cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729.
In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), also called the nth Hardy–Ramanujan number, is defined as the smallest integer that can be expressed as a sum of two positive integer cubes in n distinct ways. The most famous taxicab number is 1729 = Ta(2) = 13 + 123 = 93 + 103.
So 729+1000=1729 There are other numbers that can be shown to be the sum of two cubes in more than one way, but 1729 is the smallest of them.
Srinivasa Ramanujan: IQ 185
Born in India in 1887, Srinivasa Ramanujan is one of the most influential mathematicians in the world. He made significant contributions to the analytical theory of numbers, as well as elliptic functions, continued fractions, and infinite series. He had an estimated IQ of 185.
The number 1729 on prime factorization gives 7 × 13 × 19. Here, the prime factor 7 is not in the power of 3. Therefore the cube root of 1729 is irrational, hence 1729 is not a perfect cube.
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.
Illness and death
He was diagnosed with tuberculosis and a severe vitamin deficiency, and confined to a sanatorium. In 1919, he returned to Kumbakonam, Madras Presidency, and in 1920 he died at the age of 32.
This is Ramanujan's magic square: the sum of any column is 139 The sum of any row is 139 The sum of diagonal elements is 139. The sum of any 2x2 box is 139. The first row 22 12 18 87 is special because it Ramanujan's Birth date 22/12/1887.
The number derives its name from the following story G. H. Hardy told about Ramanujan. "Once, in the taxi from London, Hardy noticed its number, 1729. He must have thought about it a little because he entered the room where Ramanujan lay in bed and, with scarcely a hello, blurted out his disappointment with it.
This is the true story.” >Robert Kanigel in his authoritative biography of Ramanujan, The Man Who Knew Infinity , states that he appeared for the Intermediate examinations four times and failed in all of them.
Ramanujan prayed to the goddess Namagiri by sitting in the center of a four pillared mandapam facing the goddess, in the Narasimha swamy Temple. It is said that they stayed in the precincts of the temple for three days, and Ramanujan got the permission of the goddess to go to England, in a dream when he was asleep.
An intuitive mathematical genius, Ramanujan's discoveries have influenced several areas of mathematics, but he is probably most famous for his contributions to number theory and infinite series, among them fascinating formulas ( pdf ) that can be used to calculate digits of pi in unusual ways.
It's the smallest number expressible as the sum of two cubes in two different ways." Because of this incident, 1729 is now known as the Ramanujan-Hardy number.
Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties that make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined.
He made mistakes all the time." Ramanujan quickly learned a great deal of formal mathematics at Cambridge and went from an amateur to writing world class mathematics papers. "Very quickly, within the span of a year or two, he was formally trained. He was very smart so he could catch up quickly.
1. Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They can be expressed as sum of two cubes in two different ways.
{1729, 4104, 20683, 39312, 40033, 64232, 65728, 134379, 149389, 171288, 195841, 216027, 327763, 402597, 439101, 443889, 515375, 684019, 704977, 805688, 842751, 920673, 955016, ...}
This number is a composite. The largest number which is divisible by its prime sum of digits (19) and reversal (91) happens to be Ramanujan's famous taxi-cab number (1729 = 123 + 13 = 103 + 93).
Elon Musk IQ is close to this starting point, with an estimated score of 155. The typical genius has an IQ of around 140.
Often referred to as England's national poet and the "Bard of Avon," William Shakespeare had an estimated IQ of 210 and is widely regarded as the greatest English-speaking writer and dramatist to have ever lived.
Srinivasa Ramanujan , a Mathematical Genius. Srinivasa Ramanujan, the brilliant twentieth century Indian mathematician, has been compared with all-time greats like Euler, Gauss and Jacobi, for his natural mathematical genius.
Ramanujan obtained a general expression using three variables that can generate an infinite number of such equations, like the ones sent in by some readers. Just define f(x) = x + n + a, giving f(x)2= ax + (n + a)2 + x f(x + n).