Ramanujan replied that 1729 was not a boring number at all: it was a very interesting one. He explained that it was the smallest number that could be expressed by the sum of two cubes in two different ways . This story is very famous among mathematicians. 1729 is sometimes called the “Hardy-Ramanujan number”.
Why is 1729 a special number?
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.
What is special about Ramanujan?
Taxicab numbers
It is the smallest number expressible as a sum of two cubes in two different ways . That is, 1729 = 1^3 + 12^3 = 9^3 + 10^3. This number is now called the Hardy-Ramanujan number, and the smallest numbers that can be expressed as the sum of two cubes in n different ways have been dubbed taxicab numbers.
Which number is known as Ramanujan number what is the beauty of this number?
Because of this incident, 1729 is now known as the Ramanujan-Hardy number. To date, only six taxi-cab numbers have been discovered that share the properties of 1729. These are the smallest numbers which are the sum of cubes in different ways.
Is 1729 a perfect cube?
The number 1729 on prime factorization gives 7 × 13 × 19. ... Therefore the cube root of 1729 is irrational, hence 1729 is not a perfect cube .
Why is 28 the perfect number?
A number is perfect if all of its factors, including 1 but excluding itself, perfectly add up to the number you began with. 6, for example, is perfect, because its factors — 3, 2, and 1 — all sum up to 6. 28 is perfect too: 14, 7, 4, 2, and 1 add up to 28.
What type of number is 1729?
| ← 1728 1729 1730 → | Hexadecimal 6C1 16 |
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Who is the No 1 mathematician in the world?
Sir Isaac Newton PRS was an English physicist and mathematician who is widely recognised as one of the most influential scientists of all time and a key figure in the scientific revolution. He is the only human being to be argued as the greatest mathematician ever and the greatest physicist ever at the same time.
Who is known as Prince of mathematics?
Born April 30th, 1777, in Brunswick (Germany), Karl Friedrich Gauss was perhaps one of the most influential mathematical minds in history. Sometimes called the “Prince of Mathematics”, he was noticed for his mathematical thinking at a very young age.
Who is the father of maths?
Archimedes is known as the Father of Mathematics. Mathematics is one of the ancient sciences developed in time immemorial. A major topic of discussion regarding this particular field of science is about who is the father of mathematics.
What is the perfect number?
Perfect number, a positive integer that is equal to the sum of its proper divisors . The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. The discovery of such numbers is lost in prehistory.
Why is 2520 a special number?
2520 is: the smallest number divisible by all integers from 1 to 10 , i.e., it is their least common multiple. ... the product of five consecutive numbers, namely 3×4×5×6×7. a superior highly composite number.
Who found zero?
History of Math and Zero in India
The first modern equivalent of numeral zero comes from a Hindu astronomer and mathematician Brahmagupta in 628. His symbol to depict the numeral was a dot underneath a number.
IS 400 a perfect cube?
Since 2 & 5 do not occur in triplets. ∴ 400 is not a perfect cube .
Is 27 a cube number?
A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. ... The first five cube numbers are: 1, 8, 27, 64 and 125.
What is the biggest number in the world?
Prof Hugh Woodin, University of California, USA – “One of the largest numbers we have a name for is a googol, and it’s one followed by a hundred zeroes . A hundred zeroes is a lot because each zero represents another factor of 10.”
