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26 de abr. de 2024 · Descubre la increíble anécdota entre el matemático Ramanujan y el número de taxi 1729 que revela la magia de las matemáticas.
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20 de abr. de 2024 · As Ramanujan noted, 1729 is the smallest integer that is the sum of two cubes of positive integers in two different ways. Many Carmichael numbers are the sum of two positive cubes in at least one way. The first few are 1729, 15841, 46657, 126217, 188461, 1082809.
22 de abr. de 2024 · Srinivasa Ramanujan (born December 22, 1887, Erode, India—died April 26, 1920, Kumbakonam) was an Indian mathematician whose contributions to the theory of numbers include pioneering discoveries of the properties of the partition function.
- The Editors of Encyclopaedia Britannica
- At age 15 Srinivasa Ramanujan obtained a mathematics book containing thousands of theorems, which he verified and from which he developed his own i...
- Indian mathematician Srinivasa Ramanujan made contributions to the theory of numbers, including pioneering discoveries of the properties of the par...
- Srinivasa Ramanujan is remembered for his unique mathematical brilliance, which he had largely developed by himself. In 1920 he died at age 32, gen...
15 de abr. de 2024 · Ramanujan immediately replied that 1729 is an interesting number as it is the smallest number that can be expressed as the sum of two cubes in two different ways: 1729=13+123=93+1031729=13+123=93+103.
16 de abr. de 2024 · That’s a very dull number. From then on, number 1729 is known as Hardy-Ramanujan Numbers. 1729 can be expressed as. 1729 = 1 + 1728 = 1 3 + 12 3. Or. 1729 = 729 + 1000 = 9 3 + 10 3. Thus, 1729 is the smallest number that can be represented as sum of two cubes in two different ways.
Hace 6 días · Ramanujan's sum. In number theory, Ramanujan's sum, usually denoted cq ( n ), is a function of two positive integer variables q and n defined by the formula. where ( a, q) = 1 means that a only takes on values coprime to q . Srinivasa Ramanujan mentioned the sums in a 1918 paper. [1]
2 de may. de 2024 · Ramanujan–Sato series. In mathematics, a Ramanujan–Sato series [1] [2] generalizes Ramanujan ’s pi formulas such as, to the form. by using other well-defined sequences of integers obeying a certain recurrence relation, sequences which may be expressed in terms of binomial coefficients , and employing modular forms of higher levels.
