What is the Speciality of 1729 according to Ramanujan?
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.
Is 20683 a hardy-Ramanujan number?
{1729, 4104, 13832, 20683, 32832, 39312, 40033, 46683, 64232, 65728, 110656, 110808, 134379, 149389, 165464, 171288, 195841, 216027, 216125, 262656, 314496, 320264, 327763.} Here all these numbers can be expressed as a sum of 2 cubes in 2 different ways .
What does 1729 mean?
Ramanujan replied to this saying, “No Hardy, it’s a very interesting number! It’s the smallest number expressible as the sum of two cubes in two different ways.” 1729 is the sum of the cubes of 10 and 9. Cube of 10 is 1000 and the cube of 9 is 729. Both the cubes, therefore, add up to 1729.
Is 4104 a hardy Ramanujan number?
4104 (four thousand one hundred [and] four) is the natural number following 4103 and preceding 4105. The first such number, 1729, is called the “Ramanujan–Hardy number”. 4104 is the sum of 4096 + 8 (that is, 163 + 23), and also the sum of 3375 + 729 (that is, 153 + 93).
Is 2520 discovered by Ramanujan?
The secret of the number 2520 is hidden in the multiplication of [7 × 30 × 12]. These secrets about the number 2520 were discovered by the great Indian mathematician Sri Srinivasa Ramanujan. 2520 is the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple.
How many Ramanujan number are there?
1729
1729 is the natural number following 1728 and preceding 1730. It is a taxicab number, and is variously known as Ramanujan’s number and the Ramanujan-Hardy number, after an anecdote of the British mathematician G. H….1729 (number)
| ← 1728 1729 1730 → | |
|---|---|
| Hexadecimal | 6C116 |